×
Compute Distance To:
Author ID: ruan.shigui Recent zbMATH articles by "Ruan, Shigui"
Published as: Ruan, Shigui; Ruan, S.; Ruan, ShiGui; Shigui, Ruan
Further Spellings: 中文版
Homepage: http://www.math.miami.edu/~ruan/
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND
Documents Indexed: 239 Publications since 1988, including 2 Books
20 Contributions as Editor
Reviewing Activity: 16 Reviews
Co-Authors: 182 Co-Authors with 237 Joint Publications
6,105 Co-Co-Authors
all top 5

Co-Authors

22 single-authored
23 Magal, Pierre
16 Huang, Jicai
16 Li, Wan-Tong
13 Wu, Jianhong
13 Xiao, Dongmei
12 Wang, Zhi Cheng
12 Wei, Junjie
10 Zou, Lan
9 Cosner, Chris
9 Kang, Hao
9 Lin, Guo
8 Cantrell, Robert Stephen
8 Chen, Jing
8 Liu, Zhihua
8 Zhang, Weinian
8 Zhang, Xinan
7 Gao, Daozhou
6 Beier, John C.
6 Ducrot, Arnaud
6 Jin, Zhen
6 Liu, Sanhong
6 Wang, Hao
5 Bi, Ping
5 Freedman, Herbert Irving
5 Kuang, Yang
5 Li, Michael Yi
5 Sun, Guiquan
5 Wolkowicz, Gail S. K.
4 Gourley, Stephen A.
4 He, Xuezhong
4 Huang, Qimin
4 Huo, Xi
4 Lu, Min
4 Sun, Xiang-Dong
4 Tian, Canrong
4 Wang, Wendi
4 Webb, Glenn Francis
4 Zhang, Juan
4 Zhao, Guangyu
3 Adimy, Mostafa
3 Crauste, Fabien
3 D’Agata, Erika M. C.
3 Deng, Zongqi
3 Feng, Xiaomei
3 Liu, Dan
3 Lou, Yuan
3 Lu, Gang
3 Ma, Wanbiao
3 Tang, Yilei
3 Teng, Zhi-dong
3 Xia, Huaxing
3 Xu, Wenbing
3 Zhao, Lin
3 Zhu, Deming
2 Bo, Wei-Jian
2 Chu, Jixun
2 Culshaw, Rebecca V.
2 DeAngelis, Donald L.
2 Deng, Zhongqi
2 Fuller, Douglas O.
2 Horn, Mary Ann
2 Hsu, Szebi
2 Hu, Zhixing
2 Huang, Jianhua
2 Lenhart, Suzanne M.
2 Liu, Zijian
2 Lou, Yijun
2 Pang, Jianhua
2 Pang, Liuyong
2 Shi, Hongbo
2 Shu, Ya Qin
2 Su, Qiuyi
2 Su, Ying
2 Wang, Yuanshi
2 Wu, Hong
2 Wu, Shiliang
2 Yang, Feiying
2 Yang, Ting-Hui
2 Yang, Yu
2 Zhang, Guoyan
1 Ambrosio, Benjamin
1 Bai, Dingyong
1 Boushaba, Khalid
1 Cai, Liming
1 Campbell, Sue Ann
1 Cantrell, Stephen
1 Casas, Jérôme
1 Chamchod, Farida
1 Chang, Lili
1 Chen, Lansun
1 Chen, Xianyong
1 Chen, Xingwu
1 Clements, John C.
1 Erbe, Lynn Harry
1 Fang, Bin
1 Fang, Yile
1 Feng, Guangting
1 Feng, Yan-Xia
1 Filfil, Rami S.
1 Fu, Guifang
...and 82 more Co-Authors
all top 5

Serials

22 Journal of Differential Equations
19 Discrete and Continuous Dynamical Systems. Series B
16 Journal of Mathematical Biology
14 Mathematical Biosciences
13 SIAM Journal on Applied Mathematics
11 Journal of Mathematical Analysis and Applications
10 Mathematical Biosciences and Engineering
9 Bulletin of Mathematical Biology
9 The Canadian Applied Mathematics Quarterly
8 Journal of Dynamics and Differential Equations
8 Journal of Theoretical Biology
5 Journal of Central China Normal University. Natural Sciences
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Nonlinear Analysis. Real World Applications
5 Journal of Biological Dynamics
3 Applied Mathematics and Computation
3 Proceedings of the American Mathematical Society
3 Physica D
3 Differential and Integral Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Mathematical Analysis
3 Journal of Nonlinear Science
3 Discrete and Continuous Dynamical Systems
3 Communications on Pure and Applied Analysis
3 SIAM Journal on Applied Dynamical Systems
3 Mathematical Modelling of Natural Phenomena
3 Science China. Mathematics
2 IMA Journal of Applied Mathematics
2 Nonlinearity
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Mathematische Annalen
2 Annals of Differential Equations
2 Fields Institute Communications
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Acta Mathematica Sinica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Gazette des Mathématiciens
1 IEEE Transactions on Automatic Control
1 Journal of Functional Analysis
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Theoretical Population Biology
1 Transactions of the American Mathematical Society
1 Journal of Mathematics. Wuhan University
1 Acta Mathematicae Applicatae Sinica
1 Northeastern Mathematical Journal
1 IMA Journal of Mathematics Applied in Medicine and Biology
1 Mathematica Applicata
1 European Journal of Applied Mathematics
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Advances in Differential Equations
1 Differential Equations and Dynamical Systems
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Biological Systems
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Mathematical Medicine and Biology
1 Applied Mathematical Sciences
1 Lecture Notes in Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 Computational & Mathematical Methods in Medicine
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Nanjing University of Information Science and Technology. Natural Science Edition
1 Journal of Applied Analysis and Computation
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Shanghai Normal University. Natural Sciences
1 Proceedings of the American Mathematical Society. Series B
1 Chapman & Hall/CRC Mathematical and Computational Biology Series

Publications by Year

Citations contained in zbMATH Open

215 Publications have been cited 7,348 times in 4,705 Documents Cited by Year
On the zeros of transcendental functions with applications to stability of delay differential equations with two delays. Zbl 1068.34072
Ruan, Shigui; Wei, Junjie
387
2003
A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009
Culshaw, Rebecca V.; Ruan, Shigui
288
2000
Dynamical behavior of an epidemic model with a nonlinear incidence rate. Zbl 1028.34046
Ruan, Shigui; Wang, Wendi
278
2003
Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045
Ruan, Shigui; Xiao, Dongmei
260
2001
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
208
2007
Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
205
1999
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
Freedman, H. I.; Ruan, Shigui; Tang, Moxun
192
1994
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
151
2001
Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays. Zbl 1100.35050
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
141
2006
Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems. Zbl 1103.35049
Li, Wantong; Lin, Guo; Ruan, Shigui
134
2006
Bifurcations in an epidemic model with constant removal rate of the infectives. Zbl 1054.34071
Wang, Wendi; Ruan, Shigui
113
2004
Uniform persistence in functional differential equations. Zbl 0814.34064
Freedman, H. I.; Ruan, Shigui
112
1995
Traveling fronts in monostable equations with nonlocal delayed effects. Zbl 1141.35058
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
107
2008
Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay. Zbl 1124.35089
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
105
2007
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
101
2001
Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response. Zbl 1326.34082
Huang, Jicai; Ruan, Shigui; Song, Jing
100
2014
On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. Zbl 0982.92008
Ruan, Shigui; Wei, Junjie
96
2001
Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays. Zbl 1035.34084
Ruan, Shigui
93
2001
Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. Zbl 1040.92045
Gourley, Stephen A.; Ruan, Shigui
86
2003
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
80
2004
Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions. Zbl 1331.34160
Yang, Yu; Zou, Lan; Ruan, Shigui
80
2015
Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response. Zbl 1003.34064
Xiao, Dongnei; Ruan, Shigui
79
2001
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
79
2004
Entire solutions in bistable reaction-diffusion equations with nonlocal delayed nonlinearity. Zbl 1168.35023
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
79
2009
Delay differential equations in single species dynamics. Zbl 1130.34059
Ruan, S.
78
2006
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
76
2003
Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. Zbl 1191.35045
Magal, Pierre; Ruan, Shigui
74
2009
On nonlinear dynamics of predator-prey models with discrete delay. Zbl 1172.34046
Ruan, S.
72
2009
Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling. Zbl 0779.92021
Ruan, Shigui
71
1993
Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Zbl 0917.34029
Xiao, Dongmei; Ruan, Shigui
71
1999
On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064
Li, W.-T.; Ruan, S.; Wang, Z.-C.
69
2007
Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion. Zbl 1227.35125
Zhao, Guangyu; Ruan, Shigui
68
2011
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
64
2008
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
64
2013
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
63
2009
Dynamics of a two-neuron system with discrete and distributed delays. Zbl 1049.92004
Ruan, Shigui; Filfil, Rami S.
59
2004
Periodic solutions of planar systems with two delays. Zbl 0946.34062
Ruan, Shigui; Wei, Junjie
58
1999
An SIS patch model with variable transmission coefficients. Zbl 1218.92064
Gao, Daozhou; Ruan, Shigui
57
2011
Kamenev type theorems for second order matrix differential systems. Zbl 0777.34024
Erbe, Lynn H.; Kong, Qingkai; Ruan, Shigui
56
1993
Competition in the chemostat: A distributed delay model and its global asymptotic behavior. Zbl 0893.34067
Wolkowicz, Gail S. K.; Xia, Huaxing; Ruan, Shigui
55
1997
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
54
2010
A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. Zbl 1090.34058
Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui
51
2005
A multipatch malaria model with logistic growth populations. Zbl 1250.92029
Gao, Daozhou; Ruan, Shigui
50
2012
Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. Zbl 1311.35052
Lin, Guo; Ruan, Shigui
49
2014
Modeling the transmission dynamics and control of hepatitis B virus in China. Zbl 1403.92316
Zou, Lan; Zhang, Weinian; Ruan, Shigui
48
2010
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
47
2011
The effects of human movement on the persistence of vector-borne diseases. Zbl 1402.92386
Cosner, C.; Beier, J. C.; Cantrell, R. S.; Impoinvil, D.; Kapitanski, L.; Potts, M. D.; Troyo, A.; Ruan, S.
47
2009
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
46
2018
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
46
2012
Bifurcation analysis of a chemostat model with a distributed delay. Zbl 0879.92031
Ruan, Shigui; Wolkowicz, Gail S. K.
45
1996
Dynamics of the diffusive Nicholson’s blowflies equation with distributed delay. Zbl 0973.34064
Gourley, S. A.; Ruan, S.
45
2000
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376
Shi, Hong-Bo; Ruan, Shigui
43
2015
Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems. Zbl 1304.35199
Zhao, Guangyu; Ruan, Shigui
42
2014
The effect of global travel on the spread of SARS. Zbl 1089.92049
Ruan, Shigui; Wang, Wendi; Levin, Simon A.
39
2006
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
38
2015
On integrated semigroups and age structured models in \(L^p\) spaces. Zbl 1212.35238
Magal, Pierre; Ruan, Shigui
38
2007
The effect of delays on stability and persistence in plankton models. Zbl 0830.34067
Ruan, Shigui
37
1995
Modeling spatial spread of communicable disease involving animal hosts. Zbl 1183.92074
Ruan, Shigui; Wu, Jianhong
36
2010
Qualitative analysis of a neural network model with multiple time delays. Zbl 1192.37115
Campbell, Sue Ann; Ruan, Shigui; Wei, Junjie
36
1999
Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061
Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui
35
2004
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
35
2011
Coexistence of limit cycles and homoclinic loops in a SIRS model with a nonlinear incidence rate. Zbl 1171.34033
Tang, Yilei; Huang, Deqing; Ruan, Shigui; Zhang, Weinian
35
2008
Persistence and extinction in two species reaction-diffusion systems with delays. Zbl 0936.35092
Ruan, Shigui; Zhao, Xiao-Qiang
35
1999
Structured population models in biology and epidemiology. Zbl 1138.92029
32
2008
Global stability in chemostat-type plankton models with delayed nutrient recycling. Zbl 0935.92034
He, Xue-Zhong; Ruan, Shigui
32
1998
Stability and bifurcation in delay-differential equations with two delays. Zbl 0946.34066
Li, Xiangao; Ruan, Shigui; Wei, Junjie
32
1999
Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics. Zbl 1074.92010
Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui
31
2005
Global stability in chemostat-type equations with distributed delays. Zbl 0916.34064
He, Xue-Zhong; Ruan, Shigui; Xia, Huaxing
31
1998
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
31
1992
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
31
2013
Global stability in chemostat-type competition models with nutrient recycling. Zbl 0912.34062
Ruan, Shigui; He, Xue-Zhong
30
1998
Reaction-diffusion equations with infinite delay. Zbl 0836.35158
Ruan, Shigui; Wu, Jianhong
30
1994
The effects of harvesting and time delay on predator-prey systems with Holling type II functional response. Zbl 1203.34137
Xia, Jing; Liu, Zhihua; Yuan, Rong; Ruan, Shigui
30
2009
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
29
2015
Interaction of diffusion and delay. Zbl 1128.92001
Hadeler, Karl P.; Ruan, Shigui
29
2007
Codimension two bifurcations in a predator-prey system with group defense. Zbl 1091.92504
Xiao, Dongmei; Ruan, Shigui
28
2001
Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China. Zbl 1356.92081
Feng, Xiaomei; Ruan, Shigui; Teng, Zhidong; Wang, Kai
27
2015
Hopf bifurcation in a size-structured population dynamic model with random growth. Zbl 1172.35322
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui
27
2009
Global dynamics of avian influenza epidemic models with psychological effect. Zbl 1344.92172
Liu, Sanhong; Pang, Liuyong; Ruan, Shigui; Zhang, Xinan
27
2015
Modeling seasonal rabies epidemics in China. Zbl 1237.92056
Zhang, Juan; Jin, Zhen; Sun, Gui-Quan; Sun, Xiang-Dong; Ruan, Shigui
27
2012
Transmission dynamics and optimal control of measles epidemics. Zbl 1338.92135
Pang, Liuyong; Ruan, Shigui; Liu, Sanhong; Zhao, Zhong; Zhang, Xinan
26
2015
Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate. Zbl 1421.92034
Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei
26
2019
An age-structured model for the transmission dynamics of hepatitis B. Zbl 1210.35269
Zou, Lan; Ruan, Shigui; Zhang, Weinian
26
2010
Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028
Ruan, Shigui
26
1998
Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. Zbl 1294.34050
Chen, Jing; Huang, Jicai; Ruan, Shigui; Wang, Jihua
26
2013
Spreading speeds and traveling waves in competitive recursion systems. Zbl 1232.92072
Lin, Guo; Li, Wan-Tong; Ruan, Shigui
25
2011
Oscillations of second order neutral differential equations. Zbl 0798.34079
Ruan, Shigui
24
1993
Traveling wave solutions in a two-group epidemic model with latent period. Zbl 1367.35192
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
24
2017
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
23
2018
Bifurcation of codimension 3 in a predator-prey system of Leslie type with simplified Holling type IV functional response. Zbl 1334.34099
Huang, Jicai; Xia, Xiaojing; Zhang, Xinan; Ruan, Shigui
23
2016
Nonlinear dynamics of avian influenza epidemic models. Zbl 1398.92242
Liu, Sanhong; Ruan, Shigui; Zhang, Xinan
23
2017
Versal unfoldings of predator-prey systems with ratio-dependent functional response. Zbl 1205.34038
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
22
2010
Traveling wave solutions in a two-group SIR epidemic model with constant recruitment. Zbl 1406.35445
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
22
2018
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
22
2006
A periodic Ross-Macdonald model in a patchy environment. Zbl 1327.92059
Gao, Daozhou; Lou, Yijun; Ruan, Shigui
22
2014
Traveling wave solutions in delayed lattice differential equations with partial monotonicity. Zbl 1084.34059
Huang, Jianhua; Lu, Gang; Ruan, Shigui
21
2005
Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case. Zbl 1318.34107
Wu, Shi-Liang; Ruan, Shigui
21
2015
Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. Zbl 1349.35198
Wang, ZhiCheng; Li, WanTong; Ruan, ShiGui
20
2016
Stability and global Hopf bifurcation for neutral differential equations. Zbl 1018.34068
Wei, Junjie; Ruan, Shigui
20
2002
Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
20
2014
Age-structured population dynamics with nonlocal diffusion. Zbl 07522511
Kang, Hao; Ruan, Shigui; Yu, Xiao
1
2022
Nonlinear dynamics in tumor-immune system interaction models with delays. Zbl 1468.34115
Ruan, Shigui
6
2021
Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions. Zbl 1456.35083
Kang, Hao; Ruan, Shigui
4
2021
Generalized traveling waves for time-dependent reaction-diffusion systems. Zbl 1475.35100
Ambrosio, Benjamin; Ducrot, Arnaud; Ruan, Shigui
4
2021
Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey. Zbl 1453.92339
Bai, Dingyong; Kang, Yun; Ruan, Shigui; Wang, Lisha
3
2021
Spatial propagation in nonlocal dispersal Fisher-KPP equations. Zbl 1470.35118
Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui
3
2021
Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized nonmonotone incidence rate. Zbl 1482.34125
Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei
3
2021
Global dynamics and complex patterns in Lotka-Volterra systems: the effects of both local and nonlocal intraspecific and interspecific competitions. Zbl 1460.92164
Chen, Xianyong; Jiang, Weihua; Ruan, Shigui
2
2021
Global dynamics of a predator-prey system with density-dependent mortality and ratio-dependent functional response. Zbl 1466.92149
Jiang, Xin; She, Zhikun; Ruan, Shigui
2
2021
On first-order hyperbolic partial differential equations with two internal variables modeling population dynamics of two physiological structures. Zbl 1461.35144
Kang, Hao; Huo, Xi; Ruan, Shigui
1
2021
Approximation of random diffusion by nonlocal diffusion in age-structured models. Zbl 1464.35391
Kang, Hao; Ruan, Shigui
1
2021
Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. Zbl 1440.34052
Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei
13
2020
Spatial propagation in an epidemic model with nonlocal diffusion: the influences of initial data and dispersals. Zbl 1464.35384
Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui
8
2020
Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period. Zbl 1430.92119
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
4
2020
Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154
Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui
4
2020
On a network model of two competitors with applications to the invasion and competition of Aedes albopictus and Aedes aegypti mosquitoes in the United States. Zbl 1439.35495
Liu, Zuhan; Tian, Canrong; Ruan, Shigui
2
2020
Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China. Zbl 1448.92366
Zhao, Hongyong; Wu, Peng; Ruan, Shigui
2
2020
Existence of periodic solutions in abstract semilinear equations and applications to biological models. Zbl 1450.35026
Su, Qiuyi; Ruan, Shigui
2
2020
Periodic solutions of an age-structured epidemic model with periodic infection rate. Zbl 1460.35353
Kang, Hao; Huang, Qimin; Ruan, Shigui
2
2020
Nonlinear physiologically structured population models with two internal variables. Zbl 1464.35367
Kang, Hao; Huo, Xi; Ruan, Shigui
2
2020
Bifurcation analysis of a dynamical model for the innate immune response to initial pulmonary infections. Zbl 1460.37081
Shi, Shujing; Huang, Jicai; Wen, Jing; Ruan, Shigui
1
2020
A patch model of COVID-19: the effects of containment on Chongqing. Zbl 1474.34350
Zou, Lan; Ruan, Shigui
1
2020
Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate. Zbl 1421.92034
Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei
26
2019
Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions. Zbl 1416.35285
Yang, Fei-Ying; Li, Wan-Tong; Ruan, Shigui
18
2019
Bifurcation analysis of a Mosquito population model with a saturated release rate of sterile mosquitoes. Zbl 1428.34066
Huang, Jicai; Ruan, Shigui; Yu, Pei; Zhang, Yuyue
14
2019
Pattern formation and synchronism in an allelopathic plankton model with delay in a network. Zbl 1416.34071
Tian, Canrong; Ruan, Shigui
8
2019
Modelling diapause in mosquito population growth. Zbl 1411.37070
Lou, Yijun; Liu, Kaihui; He, Daihai; Gao, Daozhou; Ruan, Shigui
7
2019
Local and global stabilities of a viral dynamics model with infection-age and immune response. Zbl 1417.35210
Pang, Jianhua; Chen, Jing; Liu, Zijian; Bi, Ping; Ruan, Shigui
6
2019
Optimal control of environmental cleaning and antibiotic prescription in an epidemiological model of methicillin-resistant Staphylococcus aureus infections in hospitals. Zbl 1425.92129
Huang, Qimin; Huo, Xi; Ruan, Shigui
3
2019
Modeling the seasonality of Methicillin-resistant Staphylococcus aureus infections in hospitals with environmental contamination. Zbl 1447.92429
Huang, Qimin; Huo, Xi; Miller, Darlene; Ruan, Shigui
3
2019
Modeling the transmission dynamics of rabies for dog, Chinese ferret badger and human interactions in Zhejiang province, China. Zbl 1415.92183
Huang, Jicai; Ruan, Shigui; Shu, Yaqin; Wu, Xiao
2
2019
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
46
2018
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
23
2018
Traveling wave solutions in a two-group SIR epidemic model with constant recruitment. Zbl 1406.35445
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
22
2018
Spatial and temporal dynamics of a nonlocal viral infection model. Zbl 1410.35261
Zhao, Guangyu; Ruan, Shigui
19
2018
Traveling wave solutions for time periodic reaction-diffusion systems. Zbl 1397.35057
Bo, Wei-Jian; Lin, Guo; Ruan, Shigui
16
2018
Analysis of a dengue model with vertical transmission and application to the 2014 dengue outbreak in Guangdong Province, China. Zbl 1400.92569
Zou, Lan; Chen, Jing; Feng, Xiaomei; Ruan, Shigui
8
2018
Fast propagation for reaction-diffusion cooperative systems. Zbl 1388.35106
Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui
8
2018
On an advection-reaction-diffusion competition system with double free boundaries modeling invasion and competition of Aedes albopictus and Aedes aegypti mosquitoes. Zbl 1403.35308
Tian, Canrong; Ruan, Shigui
3
2018
Modeling and analysis of a nonlinear age-structured model for tumor cell populations with quiescence. Zbl 1403.35304
Liu, Zijian; Chen, Jing; Pang, Jianhua; Bi, Ping; Ruan, Shigui
2
2018
Modeling the importation and local transmission of vector-borne diseases in Florida: the case of Zika outbreak in 2016. Zbl 1406.92560
Chen, Jing; Beier, John C.; Cantrell, Robert Stephen; Cosner, Chris; Fuller, Douglas O.; Guan, Yongtao; Zhang, Guoyan; Ruan, Shigui
2
2018
Traveling wave solutions in a two-group epidemic model with latent period. Zbl 1367.35192
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
24
2017
Nonlinear dynamics of avian influenza epidemic models. Zbl 1398.92242
Liu, Sanhong; Ruan, Shigui; Zhang, Xinan
23
2017
Global properties of vector-host disease models with time delays. Zbl 1403.92287
Cai, Li-Ming; Li, Xue-Zhi; Fang, Bin; Ruan, Shigui
17
2017
On the existence of axisymmetric traveling fronts in Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\). Zbl 1360.35097
Wang, Zhi-Cheng; Niu, Hui-Ling; Ruan, Shigui
14
2017
Modeling the transmission dynamics and control of rabies in China. Zbl 1366.92130
Ruan, Shigui
10
2017
A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland regions of China. Zbl 1382.37100
Li, Yingke; Teng, Zhidong; Ruan, Shigui; Li, Mingtao; Feng, Xiaomei
7
2017
A free boundary problem for Aedes aegypti mosquito invasion. Zbl 1443.92035
Tian, Canrong; Ruan, Shigui
7
2017
Avian influenza A H7N9 virus has been established in China. Zbl 1397.92701
Zhang, Xinan; Zou, Lan; Chen, Jing; Fang, Yile; Huang, Jicai; Zhang, Jinhui; Liu, Sanhong; Feng, Guangting; Yang, Cuihong; Ruan, Shigui
4
2017
On the distribution of zeros of a third-degree exponential polynomial with applications to delayed biological systems. Zbl 1399.30020
Ruan, Shigui; Wei, Junjie; Xiao, Dongmei
3
2017
Linear and weakly nonlinear stability analyses of Turing patterns for diffusive predator-prey systems in freshwater marsh landscapes. Zbl 1373.92115
Zhang, Li; Zhang, Fan; Ruan, Shigui
2
2017
Bifurcation and temporal periodic patterns in a plant-pollinator model with diffusion and time delay effects. Zbl 1448.92375
Huang, Jirong; Liu, Zhihua; Ruan, Shigui
1
2017
Bifurcation of codimension 3 in a predator-prey system of Leslie type with simplified Holling type IV functional response. Zbl 1334.34099
Huang, Jicai; Xia, Xiaojing; Zhang, Xinan; Ruan, Shigui
23
2016
Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. Zbl 1349.35198
Wang, ZhiCheng; Li, WanTong; Ruan, ShiGui
20
2016
Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting. Zbl 1347.34060
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Zhang, Xinan
17
2016
Modeling and control of local outbreaks of West Nile virus in the United States. Zbl 1351.37272
Chen, Jing; Huang, Jicai; Beier, John C.; Cantrell, Robert Stephen; Cosner, Chris; Fuller, Douglas O.; Zhang, Guoyan; Ruan, Shigui
15
2016
Oscillations in age-structured models of consumer-resource mutualisms. Zbl 1330.35473
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
12
2016
Coinfection dynamics of two diseases in a single host population. Zbl 1357.92070
Gao, Daozhou; Porco, Travis C.; Ruan, Shigui
11
2016
Normal forms for an age structured model. Zbl 1350.35021
Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui
8
2016
Persistence and failure of complete spreading in delayed reaction-diffusion equations. Zbl 1339.35144
Lin, Guo; Ruan, Shigui
3
2016
Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions. Zbl 1331.34160
Yang, Yu; Zou, Lan; Ruan, Shigui
80
2015
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376
Shi, Hong-Bo; Ruan, Shigui
43
2015
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
38
2015
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
29
2015
Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China. Zbl 1356.92081
Feng, Xiaomei; Ruan, Shigui; Teng, Zhidong; Wang, Kai
27
2015
Global dynamics of avian influenza epidemic models with psychological effect. Zbl 1344.92172
Liu, Sanhong; Pang, Liuyong; Ruan, Shigui; Zhang, Xinan
27
2015
Transmission dynamics and optimal control of measles epidemics. Zbl 1338.92135
Pang, Liuyong; Ruan, Shigui; Liu, Sanhong; Zhao, Zhong; Zhang, Xinan
26
2015
Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case. Zbl 1318.34107
Wu, Shi-Liang; Ruan, Shigui
21
2015
Spatiotemporal dynamics of a diffusive Leslie-Gower predator-prey model with ratio-dependent functional response. Zbl 1317.35268
Shi, Hong-Bo; Ruan, Shigui; Su, Ying; Zhang, Jia-Fang
14
2015
Spatial dynamics of a lattice population model with two age classes and maturation delay. Zbl 1375.92059
Wu, Shi-Liang; Weng, Peixuan; Ruan, Shigui
9
2015
On the sexual transmission dynamics of hepatitis B virus in China. Zbl 1406.92650
Zou, Lan; Ruan, Shigui; Zhang, Weinian
7
2015
The decay rates of traveling waves and spectral analysis for a class of nonlocal evolution equations. Zbl 1338.35236
Zhao, G.; Ruan, S.
5
2015
Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response. Zbl 1326.34082
Huang, Jicai; Ruan, Shigui; Song, Jing
100
2014
Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. Zbl 1311.35052
Lin, Guo; Ruan, Shigui
49
2014
Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems. Zbl 1304.35199
Zhao, Guangyu; Ruan, Shigui
42
2014
A periodic Ross-Macdonald model in a patchy environment. Zbl 1327.92059
Gao, Daozhou; Lou, Yijun; Ruan, Shigui
22
2014
Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
20
2014
Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays. Zbl 1345.92073
Bi, Ping; Ruan, Shigui; Zhang, Xinan
19
2014
A modeling approach to investigate epizootic outbreaks and enzootic maintenance of rift valley fever virus. Zbl 1300.92093
Chamchod, Farida; Cantrell, Robert Stephen; Cosner, Chris; Hassan, Ali N.; Beier, John C.; Ruan, Shigui
5
2014
Susceptible-infectious-recovered models revisited: from the individual level to the population level. Zbl 1315.92081
Magal, Pierre; Ruan, Shigui
4
2014
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
64
2013
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
31
2013
Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. Zbl 1294.34050
Chen, Jing; Huang, Jicai; Ruan, Shigui; Wang, Jihua
26
2013
Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219
Wang, Z.-C.; Li, W.-T.; Ruan, S.
16
2013
On the dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response. Zbl 1371.37140
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
12
2013
Modeling the spatial spread of rift valley fever in Egypt. Zbl 1273.92033
Gao, Daozhou; Cosner, Chris; Cantrell, Robert Stephen; Beier, John C.; Ruan, Shigui
10
2013
Single species models with logistic growth and dissymmetric impulse dispersal. Zbl 1402.92378
Zhang, Long; Teng, Zhidong; DeAngelis, Donald L.; Ruan, Shigui
7
2013
Global dynamics and bifurcations in a four-dimensional replicator system. Zbl 1262.34052
Wang, Yuanshi; Wu, Hong; Ruan, Shigui
4
2013
A multipatch malaria model with logistic growth populations. Zbl 1250.92029
Gao, Daozhou; Ruan, Shigui
50
2012
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
46
2012
Modeling seasonal rabies epidemics in China. Zbl 1237.92056
Zhang, Juan; Jin, Zhen; Sun, Gui-Quan; Sun, Xiang-Dong; Ruan, Shigui
27
2012
Projectors on the generalized eigenspaces for partial differential equations with time delay. Zbl 1272.35118
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
12
2012
Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions. Zbl 1259.34028
Liu, Dan; Ruan, Shigui; Zhu, Deming
10
2012
A delay equation model for oviposition habitat selection by mosquitoes. Zbl 1253.35187
Gourley, Stephen A.; Ruan, Shigui
9
2012
Center-unstable manifolds for nondensely defined Cauchy problems and applications to stability of Hopf bifurcation. Zbl 1341.34062
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
6
2012
Dynamics of rabies epidemics and the impact of control efforts in Guangdong province, China. Zbl 1397.92638
Hou, Qiang; Jin, Zhen; Ruan, Shigui
6
2012
Spatial spread of rabies in China. Zbl 1304.92126
Zhang, Juan; Jin, Zhen; Sun, Guiquan; Sun, Xiangdong; Ruan, Shigui
6
2012
Periodic orbits near heteroclinic cycles in a cyclic replicator system. Zbl 1259.34039
Wang, Yuanshi; Wu, Hong; Ruan, Shigui
2
2012
Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion. Zbl 1227.35125
Zhao, Guangyu; Ruan, Shigui
68
2011
An SIS patch model with variable transmission coefficients. Zbl 1218.92064
Gao, Daozhou; Ruan, Shigui
57
2011
...and 115 more Documents
all top 5

Cited by 4,859 Authors

122 Ruan, Shigui
103 Li, Wan-Tong
101 Wei, Junjie
75 Teng, Zhi-dong
49 Lin, Guo
45 Wu, Shiliang
45 Yuan, Rong
44 Song, Yongli
43 Ma, Wanbiao
42 Yuan, Sanling
41 Wang, Zhi Cheng
41 Xu, Rui
40 Jiang, Daqing
37 Jiang, Weihua
36 Elaiw, Ahmed M.
36 Magal, Pierre
35 Cao, Jinde
35 Wang, Wendi
34 Chen, Lansun
34 Jin, Zhen
32 Song, Xinyu
31 Huo, Hai-Feng
31 Li, Xuezhi
30 Banerjee, Malay
30 Liu, Shengqiang
30 Takeuchi, Yasuhiro
30 Wang, Weiming
29 Liu, Zhihua
29 Wu, Jianhong
28 Zhang, Tonghua
27 Huang, Jicai
27 Samanta, Guru Prasad
27 Zhao, Xiao-Qiang
26 Chen, Yuming
26 Huang, Lihong
26 Meng, Fanwei
26 Pan, Shuxia
26 Wang, Lin
26 Zou, Xingfu
24 Cui, Jingan
24 Guo, Shangjiang
24 Shi, Junping
24 Sun, Guiquan
23 Ducrot, Arnaud
23 Kar, Tapan Kumar
23 Xiao, Dongmei
23 Xu, Changjin
23 Zhu, Huaiping
22 Adimy, Mostafa
22 Yang, Yu
21 Hsu, Cheng-Hsiung
21 Yu, Zhixian
20 Wang, Xia
20 Yan, Xiangping
20 Zhang, Long
20 Zhao, Hongyong
19 Cai, Yongli
19 Dai, Binxiang
19 Feng, Zhaosheng
19 Gao, Daozhou
19 Wang, Yuanshi
19 Weng, Peixuan
18 Chattopadhyay, Joydev
18 Chen, Shanshan
18 Han, Maoan
18 Zhang, Fengqin
17 Hayat, Tasawar
17 Kumar Upadhyay, Ranjit
17 Li, Michael Yi
17 Lin, Yiping
17 Niu, Ben
17 Trofimchuk, Sergei I.
17 Wang, Jinliang
16 Bairagi, Nandadulal
16 Cai, Liming
16 Jiang, Zhichao
16 Liao, Xiaofeng
16 Lou, Yijun
16 Nie, Linfei
16 Pal, Samaresh
16 Rong, Libin
16 Xu, Zhiting
16 Zhang, Chunrui
16 Zhang, Weinian
16 Zhang, Xinan
15 Dai, Yunxian
15 Kuniya, Toshikazu
15 Liu, Gui Rong
15 Liu, Rong
15 Tian, Canrong
15 Wang, Qiru
15 Xiao, Yanni
15 Zhang, Tailei
14 Buonomo, Bruno
14 Du, Zengji
14 Fan, Yonghong
14 Kang, Yun
14 Martcheva, Maia
14 Meng, Xinzhu
14 Nakata, Yukihiko
...and 4,759 more Authors
all top 5

Cited in 305 Serials

255 Applied Mathematics and Computation
228 Nonlinear Analysis. Real World Applications
211 Chaos, Solitons and Fractals
194 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
191 Journal of Mathematical Analysis and Applications
161 Journal of Differential Equations
158 Discrete and Continuous Dynamical Systems. Series B
155 Advances in Difference Equations
143 International Journal of Biomathematics
133 Mathematical Biosciences and Engineering
125 Nonlinear Dynamics
113 Mathematical Biosciences
108 Discrete Dynamics in Nature and Society
103 Abstract and Applied Analysis
97 Journal of Mathematical Biology
89 Bulletin of Mathematical Biology
81 Applied Mathematical Modelling
73 Communications in Nonlinear Science and Numerical Simulation
66 Physica A
64 Computers & Mathematics with Applications
64 Journal of Theoretical Biology
61 Journal of Applied Mathematics and Computing
59 Journal of Biological Dynamics
58 Applied Mathematics Letters
57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
53 Journal of Dynamics and Differential Equations
49 Mathematical and Computer Modelling
49 Journal of Biological Systems
43 Mathematical Methods in the Applied Sciences
43 Journal of Applied Analysis and Computation
40 Journal of Computational and Applied Mathematics
40 Communications on Pure and Applied Analysis
38 Mathematics and Computers in Simulation
36 ZAMP. Zeitschrift für angewandte Mathematik und Physik
33 Journal of Nonlinear Science
33 Mathematical Modelling of Natural Phenomena
30 Journal of Applied Mathematics
29 Applicable Analysis
27 Physica D
26 Complexity
26 Chaos
26 Computational & Mathematical Methods in Medicine
25 Computational and Applied Mathematics
25 Differential Equations and Dynamical Systems
25 International Journal of Applied and Computational Mathematics
24 Discrete and Continuous Dynamical Systems. Series S
22 Qualitative Theory of Dynamical Systems
19 Discrete and Continuous Dynamical Systems
18 Journal of the Franklin Institute
17 Proceedings of the American Mathematical Society
17 Acta Applicandae Mathematicae
17 SIAM Journal on Applied Mathematics
17 Journal of Difference Equations and Applications
17 Mathematical Problems in Engineering
16 Nonlinear Analysis. Modelling and Control
15 Acta Mathematicae Applicatae Sinica. English Series
15 Boundary Value Problems
15 Journal of Applied Nonlinear Dynamics
14 Nonlinear Analysis. Hybrid Systems
13 Rocky Mountain Journal of Mathematics
13 Neural Networks
12 Nonlinearity
12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 Japan Journal of Industrial and Applied Mathematics
11 Journal of Mathematical Chemistry
11 Journal of Dynamical and Control Systems
11 SIAM Journal on Applied Dynamical Systems
11 Science China. Mathematics
10 Journal of Evolution Equations
10 AIMS Mathematics
9 Ricerche di Matematica
9 Applied Mathematics and Mechanics. (English Edition)
9 International Journal of Computer Mathematics
9 SIAM Journal on Mathematical Analysis
9 Journal of Inequalities and Applications
9 Acta Mathematica Scientia. Series B. (English Edition)
9 Journal of Nonlinear Science and Applications
8 International Journal of Mathematics and Mathematical Sciences
8 Electronic Journal of Differential Equations (EJDE)
8 The ANZIAM Journal
8 Electronic Research Archive
7 Automatica
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Acta Mathematica Sinica. English Series
7 International Journal of Nonlinear Sciences and Numerical Simulation
7 Discontinuity, Nonlinearity, and Complexity
7 Journal of Function Spaces
6 Transactions of the American Mathematical Society
6 Applied Mathematics. Series B (English Edition)
6 Calculus of Variations and Partial Differential Equations
6 Journal of the Egyptian Mathematical Society
6 Filomat
6 Mathematical Population Studies
6 Taiwanese Journal of Mathematics
5 Journal of Mathematical Physics
5 Journal of Functional Analysis
5 Theoretical Population Biology
5 European Journal of Applied Mathematics
5 Applications of Mathematics
5 Journal of Systems Science and Complexity
...and 205 more Serials
all top 5

Cited in 43 Fields

3,729 Biology and other natural sciences (92-XX)
2,459 Ordinary differential equations (34-XX)
1,274 Partial differential equations (35-XX)
842 Dynamical systems and ergodic theory (37-XX)
225 Numerical analysis (65-XX)
211 Systems theory; control (93-XX)
158 Probability theory and stochastic processes (60-XX)
133 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
129 Calculus of variations and optimal control; optimization (49-XX)
121 Difference and functional equations (39-XX)
108 Operator theory (47-XX)
87 Integral equations (45-XX)
65 Statistical mechanics, structure of matter (82-XX)
49 Computer science (68-XX)
32 Real functions (26-XX)
25 Operations research, mathematical programming (90-XX)
19 Fluid mechanics (76-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Mechanics of particles and systems (70-XX)
16 Statistics (62-XX)
11 Mechanics of deformable solids (74-XX)
10 Functional analysis (46-XX)
8 Combinatorics (05-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Integral transforms, operational calculus (44-XX)
6 Optics, electromagnetic theory (78-XX)
5 Geophysics (86-XX)
4 General and overarching topics; collections (00-XX)
4 Approximations and expansions (41-XX)
4 Information and communication theory, circuits (94-XX)
3 Quantum theory (81-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Topological groups, Lie groups (22-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year