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## Ruan, Shigui

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 Author ID: ruan.shigui Published as: Ruan, Shigui; Ruan, S.; Ruan, ShiGui; Shigui, Ruan Homepage: http://www.math.miami.edu/~ruan/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND
 Documents Indexed: 250 Publications since 1988, including 12 Books Reviewing Activity: 16 Reviews
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#### Co-Authors

 22 single-authored 23 Magal, Pierre 15 Li, Wan-Tong 13 Huang, Jicai 13 Wu, Jianhong 13 Xiao, Dongmei 12 Wang, Zhi Cheng 12 Wei, Junjie 9 Cosner, Chris 9 Lin, Guo 9 Zou, Lan 8 Cantrell, Robert Stephen 8 Chen, Jing 8 Liu, Zhihua 8 Zhang, Weinian 7 Gao, Daozhou 7 Zhang, Xinan 6 Beier, John C. 6 Ducrot, Arnaud 6 Kang, Hao 6 Liu, Sanhong 5 Bi, Ping 5 Freedman, Herbert Irving 5 Jin, Zhen 5 Kuang, Yang 5 Li, Michael Yi 5 Wang, Hao 5 Wolkowicz, Gail S. K. 4 Gourley, Stephen A. 4 He, Xuezhong 4 Huo, Xi 4 Sun, Guiquan 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 Huang, Qimin 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 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 Su, Qiuyi 2 Su, Ying 2 Wang, Yuanshi 2 Wu, Hong 2 Wu, Shiliang 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 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 Filfil, Rami S. 1 Fu, Guifang 1 Gerardo-Giorda, Luca 1 Gong, Yijun 1 Guan, Yongtao 1 Haddock, John R. 1 Hadeler, Karl-Peter 1 Hassan, Ali N. ...and 76 more Co-Authors
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#### Serials

 21 Journal of Differential Equations 19 Discrete and Continuous Dynamical Systems. Series B 16 Journal of Mathematical Biology 14 Mathematical Biosciences 12 SIAM Journal on Applied Mathematics 11 Journal of Mathematical Analysis and Applications 9 Bulletin of Mathematical Biology 9 The Canadian Applied Mathematics Quarterly 9 Mathematical Biosciences and Engineering 8 Journal of Theoretical Biology 6 Journal of Dynamics and Differential Equations 5 Journal of Central China Normal University. Natural Sciences 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Nonlinear Analysis. Real World Applications 4 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 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 Annals of Differential Equations 2 Communications on Pure and Applied Analysis 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 Mathematische Annalen 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
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#### Fields

 191 Biology and other natural sciences (92-XX) 126 Ordinary differential equations (34-XX) 90 Partial differential equations (35-XX) 41 Dynamical systems and ergodic theory (37-XX) 19 General and overarching topics; collections (00-XX) 15 Operator theory (47-XX) 14 Integral equations (45-XX) 8 Systems theory; control (93-XX) 7 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Difference and functional equations (39-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

199 Publications have been cited 6,230 times in 3,973 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
2003
A delay-differential equation model of HIV infection of $$\text{CD}4^+$$ T-cells. Zbl 0981.92009
Culshaw, Rebecca V.; Ruan, Shigui
2000
Dynamical behavior of an epidemic model with a nonlinear incidence rate. Zbl 1028.34046
Ruan, Shigui; Wang, Wendi
2003
Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045
Ruan, Shigui; Xiao, Dongmei
2001
Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
1999
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
2007
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
Freedman, H. I.; Ruan, Shigui; Tang, Moxun
1994
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
2001
Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays. Zbl 1100.35050
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
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
2006
Uniform persistence in functional differential equations. Zbl 0814.34064
Freedman, H. I.; Ruan, Shigui
1995
Traveling fronts in monostable equations with nonlocal delayed effects. Zbl 1141.35058
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
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
2007
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
2001
Bifurcations in an epidemic model with constant removal rate of the infectives. Zbl 1054.34071
Wang, Wendi; Ruan, Shigui
2004
Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays. Zbl 1035.34084
Ruan, Shigui
2001
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
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
2014
Entire solutions in bistable reaction-diffusion equations with nonlocal delayed nonlinearity. Zbl 1168.35023
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
2009
Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. Zbl 1040.92045
Gourley, Stephen A.; Ruan, Shigui
2003
Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response. Zbl 1003.34064
Xiao, Dongnei; Ruan, Shigui
2001
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
2004
Delay differential equations in single species dynamics. Zbl 1130.34059
Ruan, S.
2006
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
2003
On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064
Li, W.-T.; Ruan, S.; Wang, Z.-C.
2007
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
2004
Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling. Zbl 0779.92021
Ruan, Shigui
1993
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
2009
On nonlinear dynamics of predator-prey models with discrete delay. Zbl 1172.34046
Ruan, S.
2009
Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Zbl 0917.34029
Xiao, Dongmei; Ruan, Shigui
1999
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
2009
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
2015
Competition in the chemostat: A distributed delay model and its global asymptotic behavior. Zbl 0893.34067
Wolkowicz, Gail S. K.; Xia, Huaxing; Ruan, Shigui
1997
Kamenev type theorems for second order matrix differential systems. Zbl 0777.34024
Erbe, Lynn H.; Kong, Qingkai; Ruan, Shigui
1993
Periodic solutions of planar systems with two delays. Zbl 0946.34062
Ruan, Shigui; Wei, Junjie
1999
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
2011
Dynamics of a two-neuron system with discrete and distributed delays. Zbl 1049.92004
Ruan, Shigui; Filfil, Rami S.
2004
A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. Zbl 1090.34058
Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui
2005
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
2013
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
2008
An SIS patch model with variable transmission coefficients. Zbl 1218.92064
Gao, Daozhou; Ruan, Shigui
2011
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
2010
Dynamics of the diffusive Nicholson’s blowflies equation with distributed delay. Zbl 0973.34064
Gourley, S. A.; Ruan, S.
2000
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.
2009
Bifurcation analysis of a chemostat model with a distributed delay. Zbl 0879.92031
Ruan, Shigui; Wolkowicz, Gail S. K.
1996
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2011
A multipatch malaria model with logistic growth populations. Zbl 1250.92029
Gao, Daozhou; Ruan, Shigui
2012
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376
Shi, Hong-Bo; Ruan, Shigui
2015
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
2014
The effect of delays on stability and persistence in plankton models. Zbl 0830.34067
Ruan, Shigui
1995
Qualitative analysis of a neural network model with multiple time delays. Zbl 1192.37115
Campbell, Sue Ann; Ruan, Shigui; Wei, Junjie
1999
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
2012
The effect of global travel on the spread of SARS. Zbl 1089.92049
Ruan, Shigui; Wang, Wendi; Levin, Simon A.
2006
Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061
Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui
2004
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
2018
Modeling spatial spread of communicable disease involving animal hosts. Zbl 1183.92074
Ruan, Shigui; Wu, Jianhong
2010
Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems. Zbl 1304.35199
Zhao, Guangyu; Ruan, Shigui
2014
On integrated semigroups and age structured models in $$L^p$$ spaces. Zbl 1212.35238
Magal, Pierre; Ruan, Shigui
2007
Persistence and extinction in two species reaction-diffusion systems with delays. Zbl 0936.35092
Ruan, Shigui; Zhao, Xiao-Qiang
1999
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
2015
Reaction-diffusion equations with infinite delay. Zbl 0836.35158
Ruan, Shigui; Wu, Jianhong
1994
Stability and bifurcation in delay-differential equations with two delays. Zbl 0946.34066
Li, Xiangao; Ruan, Shigui; Wei, Junjie
1999
Global stability in chemostat-type equations with distributed delays. Zbl 0916.34064
He, Xue-Zhong; Ruan, Shigui; Xia, Huaxing
1998
Global stability in chemostat-type competition models with nutrient recycling. Zbl 0912.34062
Ruan, Shigui; He, Xue-Zhong
1998
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
1992
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
2008
Modeling the transmission dynamics and control of hepatitis B virus in China. Zbl 1403.92316
Zou, Lan; Zhang, Weinian; Ruan, Shigui
2010
Global stability in chemostat-type plankton models with delayed nutrient recycling. Zbl 0935.92034
He, Xue-Zhong; Ruan, Shigui
1998
Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics. Zbl 1074.92010
Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui
2005
Codimension two bifurcations in a predator-prey system with group defense. Zbl 1091.92504
Xiao, Dongmei; Ruan, Shigui
2001
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
2011
Structured population models in biology and epidemiology. Zbl 1138.92029
Magal, Pierre (ed.); Ruan, Shigui (ed.)
2008
Interaction of diffusion and delay. Zbl 1128.92001
2007
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
2009
Modeling seasonal rabies epidemics in China. Zbl 1237.92056
Zhang, Juan; Jin, Zhen; Sun, Gui-Quan; Sun, Xiang-Dong; Ruan, Shigui
2012
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
2013
Oscillations of second order neutral differential equations. Zbl 0798.34079
Ruan, Shigui
1993
Hopf bifurcation in a size-structured population dynamic model with random growth. Zbl 1172.35322
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui
2009
Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028
Ruan, Shigui
1998
Spreading speeds and traveling waves in competitive recursion systems. Zbl 1232.92072
Lin, Guo; Li, Wan-Tong; Ruan, Shigui
2011
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
2015
An age-structured model for the transmission dynamics of hepatitis B. Zbl 1210.35269
Zou, Lan; Ruan, Shigui; Zhang, Weinian
2010
Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. Zbl 1294.34050
Chen, Jing; Huang, Jicai; Ruan, Shigui; Wang, Jihua
2013
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
2015
Global dynamics of avian influenza epidemic models with psychological effect. Zbl 1344.92172
Liu, Sanhong; Pang, Liuyong; Ruan, Shigui; Zhang, Xinan
2015
Stability and global Hopf bifurcation for neutral differential equations. Zbl 1018.34068
Wei, Junjie; Ruan, Shigui
2002
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
2006
Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case. Zbl 1318.34107
Wu, Shi-Liang; Ruan, Shigui
2015
Traveling wave solutions in a two-group epidemic model with latent period. Zbl 1367.35192
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
2017
Traveling wave solutions in delayed lattice differential equations with partial monotonicity. Zbl 1084.34059
Huang, Jianhua; Lu, Gang; Ruan, Shigui
2005
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
2016
Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2014
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
2018
Versal unfoldings of predator-prey systems with ratio-dependent functional response. Zbl 1205.34038
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
2010
Nonlinear dynamics of avian influenza epidemic models. Zbl 1398.92242
Liu, Sanhong; Ruan, Shigui; Zhang, Xinan
2017
Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups. Zbl 1178.34072
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2008
A periodic Ross-Macdonald model in a patchy environment. Zbl 1327.92059
Gao, Daozhou; Lou, Yijun; Ruan, Shigui
2014
Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219
Wang, Z.-C.; Li, W.-T.; Ruan, S.
2013
Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. Zbl 1349.35198
Wang, ZhiCheng; Li, WanTong; Ruan, ShiGui
2016
Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays. Zbl 1345.92073
Bi, Ping; Ruan, Shigui; Zhang, Xinan
2014
Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions. Zbl 1456.35083
Kang, Hao; Ruan, Shigui
2021
Spatial propagation in nonlocal dispersal Fisher-KPP equations. Zbl 1470.35118
Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui
2021
Approximation of random diffusion by nonlocal diffusion in age-structured models. Zbl 1464.35391
Kang, Hao; Ruan, Shigui
2021
Nonlinear dynamics in tumor-immune system interaction models with delays. Zbl 1468.34115
Ruan, Shigui
2021
Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154
Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui
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
2020
Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. Zbl 1440.34052
Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei
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
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
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
2020
Existence of periodic solutions in abstract semilinear equations and applications to biological models. Zbl 1450.35026
Su, Qiuyi; Ruan, Shigui
2020
Periodic solutions of an age-structured epidemic model with periodic infection rate. Zbl 1460.35353
Kang, Hao; Huang, Qimin; Ruan, Shigui
2020
Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions. Zbl 1416.35285
Yang, Fei-Ying; Li, Wan-Tong; Ruan, Shigui
2019
Pattern formation and synchronism in an allelopathic plankton model with delay in a network. Zbl 1416.34071
Tian, Canrong; Ruan, Shigui
2019
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
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
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
2019
Modelling diapause in mosquito population growth. Zbl 1411.37070
Lou, Yijun; Liu, Kaihui; He, Daihai; Gao, Daozhou; Ruan, Shigui
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
2019
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
2018
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
2018
Traveling wave solutions in a two-group SIR epidemic model with constant recruitment. Zbl 1406.35445
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
2018
Traveling wave solutions for time periodic reaction-diffusion systems. Zbl 1397.35057
Bo, Wei-Jian; Lin, Guo; Ruan, Shigui
2018
Spatial and temporal dynamics of a nonlocal viral infection model. Zbl 1410.35261
Zhao, Guangyu; Ruan, Shigui
2018
Fast propagation for reaction-diffusion cooperative systems. Zbl 1388.35106
Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui
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
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
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
2018
Traveling wave solutions in a two-group epidemic model with latent period. Zbl 1367.35192
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
2017
Nonlinear dynamics of avian influenza epidemic models. Zbl 1398.92242
Liu, Sanhong; Ruan, Shigui; Zhang, Xinan
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
2017
Global properties of vector-host disease models with time delays. Zbl 1403.92287
Cai, Li-Ming; Li, Xue-Zhi; Fang, Bin; Ruan, Shigui
2017
Modeling the transmission dynamics and control of rabies in China. Zbl 1366.92130
Ruan, Shigui
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
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
2017
A free boundary problem for Aedes aegypti mosquito invasion. Zbl 1443.92035
Tian, Canrong; Ruan, Shigui
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
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
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
2016
Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. Zbl 1349.35198
Wang, ZhiCheng; Li, WanTong; Ruan, ShiGui
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
2016
Oscillations in age-structured models of consumer-resource mutualisms. Zbl 1330.35473
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
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
2016
Normal forms for an age structured model. Zbl 1350.35021
Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2016
Coinfection dynamics of two diseases in a single host population. Zbl 1357.92070
Gao, Daozhou; Porco, Travis C.; Ruan, Shigui
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
2015
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376
Shi, Hong-Bo; Ruan, Shigui
2015
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
2015
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
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
2015
Global dynamics of avian influenza epidemic models with psychological effect. Zbl 1344.92172
Liu, Sanhong; Pang, Liuyong; Ruan, Shigui; Zhang, Xinan
2015
Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case. Zbl 1318.34107
Wu, Shi-Liang; Ruan, Shigui
2015
Transmission dynamics and optimal control of measles epidemics. Zbl 1338.92135
Pang, Liuyong; Ruan, Shigui; Liu, Sanhong; Zhao, Zhong; Zhang, Xinan
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
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
2015
The decay rates of traveling waves and spectral analysis for a class of nonlocal evolution equations. Zbl 1338.35236
Zhao, G.; Ruan, S.
2015
On the sexual transmission dynamics of hepatitis B virus in China. Zbl 1406.92650
Zou, Lan; Ruan, Shigui; Zhang, Weinian
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
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
2014
Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems. Zbl 1304.35199
Zhao, Guangyu; Ruan, Shigui
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
2014
A periodic Ross-Macdonald model in a patchy environment. Zbl 1327.92059
Gao, Daozhou; Lou, Yijun; Ruan, Shigui
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
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
2014
Susceptible-infectious-recovered models revisited: from the individual level to the population level. Zbl 1315.92081
Magal, Pierre; Ruan, Shigui
2014
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
2013
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
2013
Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. Zbl 1294.34050
Chen, Jing; Huang, Jicai; Ruan, Shigui; Wang, Jihua
2013
Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219
Wang, Z.-C.; Li, W.-T.; Ruan, S.
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
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
2013
Single species models with logistic growth and dissymmetric impulse dispersal. Zbl 1402.92378
Zhang, Long; Teng, Zhidong; DeAngelis, Donald L.; Ruan, Shigui
2013
Global dynamics and bifurcations in a four-dimensional replicator system. Zbl 1262.34052
Wang, Yuanshi; Wu, Hong; Ruan, Shigui
2013
A multipatch malaria model with logistic growth populations. Zbl 1250.92029
Gao, Daozhou; Ruan, Shigui
2012
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
2012
Modeling seasonal rabies epidemics in China. Zbl 1237.92056
Zhang, Juan; Jin, Zhen; Sun, Gui-Quan; Sun, Xiang-Dong; Ruan, Shigui
2012
Projectors on the generalized eigenspaces for partial differential equations with time delay. Zbl 1272.35118
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
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
2012
A delay equation model for oviposition habitat selection by mosquitoes. Zbl 1253.35187
Gourley, Stephen A.; Ruan, Shigui
2012
Dynamics of rabies epidemics and the impact of control efforts in Guangdong province, China. Zbl 1397.92638
Hou, Qiang; Jin, Zhen; Ruan, Shigui
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
2012
Spatial spread of rabies in China. Zbl 1304.92126
Zhang, Juan; Jin, Zhen; Sun, Guiquan; Sun, Xiangdong; Ruan, Shigui
2012
Periodic orbits near heteroclinic cycles in a cyclic replicator system. Zbl 1259.34039
Wang, Yuanshi; Wu, Hong; Ruan, Shigui
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
2011
An SIS patch model with variable transmission coefficients. Zbl 1218.92064
Gao, Daozhou; Ruan, Shigui
2011
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
2011
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
2011
Spreading speeds and traveling waves in competitive recursion systems. Zbl 1232.92072
Lin, Guo; Li, Wan-Tong; Ruan, Shigui
2011
Monostable wavefronts in cooperative Lotka-Volterra systems with nonlocal delays. Zbl 1222.35104
Lin, Guo; Li, Wan-Tong; Ruan, Shigui
2011
The within-host dynamics of malaria infection with immune response. Zbl 1259.34027
Li, Yilong; Ruan, Shigui; Xiao, Dongmei
2011
Periodicity and synchronization in blood-stage malaria infection. Zbl 1311.92182
Su, Ying; Ruan, Shigui; Wei, Junjie
2011
Attractors for non-autonomous parabolic problems with singular initial data. Zbl 1233.35043
Li, Xiaojun; Ruan, Shigui
2011
Nongeneric bifurcations near heterodimensional cycles with inclination flip in $$\mathbb{R}^4$$. Zbl 1257.34026
Liu, Dan; Ruan, Shigui; Zhu, Deming
2011
Dynamics of a model of allelopathy and bacteriocin with a single mutation. Zbl 1209.34061
Zou, Lan; Chen, Xingwu; Ruan, Shigui; Zhang, Weinian
2011
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
2010
Modeling spatial spread of communicable disease involving animal hosts. Zbl 1183.92074
Ruan, Shigui; Wu, Jianhong
2010
Modeling the transmission dynamics and control of hepatitis B virus in China. Zbl 1403.92316
Zou, Lan; Zhang, Weinian; Ruan, Shigui
2010
An age-structured model for the transmission dynamics of hepatitis B. Zbl 1210.35269
Zou, Lan; Ruan, Shigui; Zhang, Weinian
2010
Versal unfoldings of predator-prey systems with ratio-dependent functional response. Zbl 1205.34038
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
2010
Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays. Zbl 1209.37058
Qu, Ying; Wei, Junjie; Ruan, Shigui
2010
...and 99 more Documents
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#### Cited by 4,113 Authors

 113 Ruan, Shigui 99 Wei, Junjie 94 Li, Wan-Tong 60 Teng, Zhi-dong 43 Wu, Shiliang 41 Song, Yongli 40 Lin, Guo 40 Xu, Rui 39 Yuan, Rong 39 Yuan, Sanling 38 Ma, Wanbiao 38 Wang, Zhi Cheng 36 Cao, Jinde 35 Wang, Wendi 34 Chen, Lansun 34 Jiang, Weihua 31 Magal, Pierre 31 Song, Xinyu 29 Li, Xuezhi 28 Elaiw, Ahmed M. 28 Liu, Shengqiang 28 Wang, Weiming 27 Jin, Zhen 27 Takeuchi, Yasuhiro 27 Wu, Jianhong 26 Banerjee, Malay 26 Huo, Hai-Feng 26 Zou, Xingfu 25 Huang, Lihong 25 Liu, Zhihua 25 Meng, Fanwei 25 Zhao, Xiao-Qiang 24 Cui, Jingan 23 Samanta, Guru Prasad 23 Shi, Junping 23 Xiao, Dongmei 23 Xu, Changjin 22 Pan, Shuxia 22 Wang, Lin 21 Chen, Yuming 21 Guo, Shangjiang 21 Kar, Tapan Kumar 21 Zhang, Tonghua 20 Adimy, Mostafa 20 Jiang, Daqing 20 Yu, Zhixian 19 Hsu, Cheng-Hsiung 19 Huang, Jicai 19 Sun, Guiquan 19 Wang, Xia 19 Weng, Peixuan 19 Yan, Xiangping 18 Chen, Shanshan 18 Ducrot, Arnaud 18 Han, Maoan 18 Wang, Yuanshi 17 Chattopadhyay, Joydev 17 Lin, Yiping 17 Zhu, Huaiping 16 Cai, Yongli 16 Dai, Binxiang 16 Gao, Daozhou 16 Li, Michael Yi 16 Liao, Xiaofeng 16 Trofimchuk, Sergei I. 16 Wang, Jinliang 16 Xu, Zhiting 16 Yang, Yu 16 Zhang, Chunrui 16 Zhang, Fengqin 15 Kumar Upadhyay, Ranjit 15 Niu, Ben 15 Pal, Samaresh 15 Zhang, Long 15 Zhang, Tailei 14 Bairagi, Nandadulal 14 Buonomo, Bruno 14 Cai, Liming 14 Dai, Yunxian 14 Fan, Yonghong 14 Kuniya, Toshikazu 14 Lou, Yijun 14 Nakata, Yukihiko 14 Tian, Canrong 14 Wang, Kaifa 14 Zhang, Weinian 14 Zhao, Hongyong 13 Fan, Dejun 13 Feng, Zhaosheng 13 Shu, Hongying 13 Volpert, Vitaly A. 13 Xiao, Yanni 13 Zhang, Guobao 13 Zhou, Xueyong 12 Chaplain, Mark A. J. 12 Crauste, Fabien 12 Martcheva, Maia 12 Nie, Linfei 12 Qiu, Zhipeng 12 Rong, Libin ...and 4,013 more Authors
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#### Cited in 266 Serials

 234 Applied Mathematics and Computation 205 Nonlinear Analysis. Real World Applications 184 Journal of Mathematical Analysis and Applications 165 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 153 Chaos, Solitons and Fractals 145 Journal of Differential Equations 134 Discrete and Continuous Dynamical Systems. Series B 125 Nonlinear Dynamics 116 International Journal of Biomathematics 112 Mathematical Biosciences 104 Discrete Dynamics in Nature and Society 103 Abstract and Applied Analysis 101 Advances in Difference Equations 100 Mathematical Biosciences and Engineering 89 Journal of Mathematical Biology 82 Bulletin of Mathematical Biology 74 Applied Mathematical Modelling 63 Computers & Mathematics with Applications 63 Journal of Theoretical Biology 60 Communications in Nonlinear Science and Numerical Simulation 55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 Journal of Biological Dynamics 49 Mathematical and Computer Modelling 48 Applied Mathematics Letters 48 Journal of Dynamics and Differential Equations 43 Mathematical Methods in the Applied Sciences 42 Journal of Biological Systems 41 Journal of Applied Mathematics and Computing 41 Journal of Applied Analysis and Computation 38 Journal of Computational and Applied Mathematics 32 Mathematical Modelling of Natural Phenomena 30 Journal of Nonlinear Science 30 Journal of Applied Mathematics 29 Communications on Pure and Applied Analysis 26 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Complexity 26 Chaos 26 Computational & Mathematical Methods in Medicine 24 Applicable Analysis 24 Physica D 23 Differential Equations and Dynamical Systems 21 Computational and Applied Mathematics 20 Discrete and Continuous Dynamical Systems. Series S 19 International Journal of Applied and Computational Mathematics 18 Journal of the Franklin Institute 18 Mathematics and Computers in Simulation 17 Discrete and Continuous Dynamical Systems 17 Mathematical Problems in Engineering 14 Proceedings of the American Mathematical Society 14 Acta Applicandae Mathematicae 14 Journal of Difference Equations and Applications 13 Rocky Mountain Journal of Mathematics 13 Neural Networks 13 SIAM Journal on Applied Mathematics 12 Acta Mathematicae Applicatae Sinica. English Series 12 Nonlinear Analysis. Modelling and Control 12 Nonlinear Analysis. Hybrid Systems 11 Nonlinearity 11 Physica A 11 Journal of Mathematical Chemistry 11 SIAM Journal on Applied Dynamical Systems 10 Japan Journal of Industrial and Applied Mathematics 10 Journal of Dynamical and Control Systems 10 Science China. Mathematics 9 Ricerche di Matematica 9 Applied Mathematics and Mechanics. (English Edition) 9 Journal of Evolution Equations 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Journal of Nonlinear Science and Applications 8 International Journal of Mathematics and Mathematical Sciences 8 The ANZIAM Journal 7 Automatica 7 International Journal of Computer Mathematics 7 SIAM Journal on Mathematical Analysis 7 Qualitative Theory of Dynamical Systems 6 Transactions of the American Mathematical Society 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Applied Mathematics. Series B (English Edition) 6 Calculus of Variations and Partial Differential Equations 6 Electronic Journal of Differential Equations (EJDE) 6 Journal of the Egyptian Mathematical Society 6 Mathematical Population Studies 6 Acta Mathematica Sinica. English Series 5 Journal of Mathematical Physics 5 European Journal of Applied Mathematics 5 Taiwanese Journal of Mathematics 5 Journal of Inequalities and Applications 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Boundary Value Problems 5 International Journal of Differential Equations 4 Theoretical Population Biology 4 Applied Numerical Mathematics 4 MCSS. Mathematics of Control, Signals, and Systems 4 Applications of Mathematics 4 Dynamical Systems 4 Journal of Systems Science and Complexity 4 Journal of Mathematics 4 Electronic Research Archive 3 Biological Cybernetics 3 Journal of Engineering Mathematics ...and 166 more Serials
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#### Cited in 42 Fields

 3,138 Biology and other natural sciences (92-XX) 2,151 Ordinary differential equations (34-XX) 1,075 Partial differential equations (35-XX) 701 Dynamical systems and ergodic theory (37-XX) 198 Systems theory; control (93-XX) 195 Numerical analysis (65-XX) 113 Probability theory and stochastic processes (60-XX) 112 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Calculus of variations and optimal control; optimization (49-XX) 103 Difference and functional equations (39-XX) 90 Operator theory (47-XX) 79 Integral equations (45-XX) 44 Computer science (68-XX) 20 Real functions (26-XX) 18 Operations research, mathematical programming (90-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Mechanics of particles and systems (70-XX) 14 Statistics (62-XX) 11 Fluid mechanics (76-XX) 10 Functional analysis (46-XX) 10 Mechanics of deformable solids (74-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Combinatorics (05-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX)