Edit Profile (opens in new tab) Ruan, Shigui Compute Distance To: Compute Author ID: ruan.shigui Published as: Ruan, Shigui; Ruan, S.; Ruan, ShiGui; Shigui, Ruan more...less Further Spellings: 中文版 Homepage: http://www.math.miami.edu/~ruan/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 240 Publications since 1988, including 2 Books 20 Contributions as Editor Reviewing Activity: 16 Reviews Co-Authors: 184 Co-Authors with 238 Joint Publications 6,702 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 Wu, Shiliang 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 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 84 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. 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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 all top 5 Fields 201 Biology and other natural sciences (92-XX) 127 Ordinary differential equations (34-XX) 97 Partial differential equations (35-XX) 41 Dynamical systems and ergodic theory (37-XX) 19 General and overarching topics; collections (00-XX) 16 Operator theory (47-XX) 14 Integral equations (45-XX) 9 Systems theory; control (93-XX) 8 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) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 216 Publications have been cited 7,662 times in 4,867 Documents Cited by ▼ Year ▼ On the zeros of transcendental functions with applications to stability of delay differential equations with two delays. Zbl 1068.34072Ruan, Shigui; Wei, Junjie 404 2003 A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009Culshaw, Rebecca V.; Ruan, Shigui 295 2000 Dynamical behavior of an epidemic model with a nonlinear incidence rate. Zbl 1028.34046Ruan, Shigui; Wang, Wendi 285 2003 Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045Ruan, Shigui; Xiao, Dongmei 274 2001 Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042Xiao, Dongmei; Ruan, Shigui 216 2007 Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511Wei, Junjie; Ruan, Shigui 207 1999 Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033Freedman, H. I.; Ruan, Shigui; Tang, Moxun 200 1994 Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031Xiao, Dongmei; Ruan, Shigui 153 2001 Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays. Zbl 1100.35050Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui 145 2006 Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems. Zbl 1103.35049Li, Wantong; Lin, Guo; Ruan, Shigui 137 2006 Bifurcations in an epidemic model with constant removal rate of the infectives. Zbl 1054.34071Wang, Wendi; Ruan, Shigui 121 2004 Uniform persistence in functional differential equations. Zbl 0814.34064Freedman, H. I.; Ruan, Shigui 112 1995 Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay. Zbl 1124.35089Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui 111 2007 Traveling fronts in monostable equations with nonlocal delayed effects. Zbl 1141.35058Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui 109 2008 Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response. Zbl 1326.34082Huang, Jicai; Ruan, Shigui; Song, Jing 107 2014 Predator-prey models with delay and prey harvesting. Zbl 1008.34066Martin, Annik; Ruan, Shigui 103 2001 On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. Zbl 0982.92008Ruan, Shigui; Wei, Junjie 100 2001 Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays. Zbl 1035.34084Ruan, Shigui 94 2001 Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. Zbl 1040.92045Gourley, Stephen A.; Ruan, Shigui 87 2003 Delay differential equations in single species dynamics. Zbl 1130.34059Ruan, S. 86 2006 Entire solutions in bistable reaction-diffusion equations with nonlocal delayed nonlinearity. Zbl 1168.35023Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui 83 2009 Optimal HIV treatment by maximising immune response. Zbl 1057.92035Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J. 82 2004 Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059Ruan, Shigui; Xiao, Dongmei 82 2004 Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions. Zbl 1331.34160Yang, Yu; Zou, Lan; Ruan, Shigui 81 2015 Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response. Zbl 1003.34064Xiao, Dongnei; Ruan, Shigui 81 2001 Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026Huang, Jianhua; Lu, Gang; Ruan, Shigui 78 2003 Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. Zbl 1191.35045Magal, Pierre; Ruan, Shigui 77 2009 Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion. Zbl 1227.35125Zhao, Guangyu; Ruan, Shigui 74 2011 Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Zbl 0917.34029Xiao, Dongmei; Ruan, Shigui 74 1999 On nonlinear dynamics of predator-prey models with discrete delay. Zbl 1172.34046Ruan, S. 73 2009 Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling. Zbl 0779.92021Ruan, Shigui 72 1993 On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064Li, W.-T.; Ruan, S.; Wang, Z.-C. 71 2007 On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042Magal, Pierre; Ruan, Shigui 68 2009 On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040Ruan, Shigui; Xiao, Dongmei; Beier, John C. 66 2008 Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092Huang, Jicai; Gong, Yijun; Ruan, Shigui 66 2013 An SIS patch model with variable transmission coefficients. Zbl 1218.92064Gao, Daozhou; Ruan, Shigui 60 2011 Dynamics of a two-neuron system with discrete and distributed delays. Zbl 1049.92004Ruan, Shigui; Filfil, Rami S. 59 2004 Periodic solutions of planar systems with two delays. Zbl 0946.34062Ruan, Shigui; Wei, Junjie 58 1999 Competition in the chemostat: A distributed delay model and its global asymptotic behavior. Zbl 0893.34067Wolkowicz, Gail S. K.; Xia, Huaxing; Ruan, Shigui 58 1997 Kamenev type theorems for second order matrix differential systems. Zbl 0777.34024Erbe, Lynn H.; Kong, Qingkai; Ruan, Shigui 57 1993 Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui 56 2010 Modeling the transmission dynamics and control of hepatitis B virus in China. Zbl 1403.92316Zou, Lan; Zhang, Weinian; Ruan, Shigui 55 2010 A multipatch malaria model with logistic growth populations. Zbl 1250.92029Gao, Daozhou; Ruan, Shigui 53 2012 Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112Liu, Zhihua; Magal, Pierre; Ruan, Shigui 53 2011 A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. Zbl 1090.34058Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui 53 2005 Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. Zbl 1311.35052Lin, Guo; Ruan, Shigui 50 2014 Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002Magal, Pierre; Ruan, Shigui 49 2018 The effects of human movement on the persistence of vector-borne diseases. Zbl 1402.92386Cosner, C.; Beier, J. C.; Cantrell, R. S.; Impoinvil, D.; Kapitanski, L.; Potts, M. D.; Troyo, A.; Ruan, S. 48 2009 Dynamics of the diffusive Nicholson’s blowflies equation with distributed delay. Zbl 0973.34064Gourley, S. A.; Ruan, S. 48 2000 Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui 48 2012 Bifurcation analysis of a chemostat model with a distributed delay. Zbl 0879.92031Ruan, Shigui; Wolkowicz, Gail S. K. 46 1996 Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376Shi, Hong-Bo; Ruan, Shigui 46 2015 Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems. Zbl 1304.35199Zhao, Guangyu; Ruan, Shigui 44 2014 The effect of global travel on the spread of SARS. Zbl 1089.92049Ruan, Shigui; Wang, Wendi; Levin, Simon A. 41 2006 Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui 41 2015 The effect of delays on stability and persistence in plankton models. Zbl 0830.34067Ruan, Shigui 39 1995 Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui 39 2011 On integrated semigroups and age structured models in \(L^p\) spaces. Zbl 1212.35238Magal, Pierre; Ruan, Shigui 38 2007 Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui 37 2004 Modeling spatial spread of communicable disease involving animal hosts. Zbl 1183.92074Ruan, Shigui; Wu, Jianhong 36 2010 Coexistence of limit cycles and homoclinic loops in a SIRS model with a nonlinear incidence rate. Zbl 1171.34033Tang, Yilei; Huang, Deqing; Ruan, Shigui; Zhang, Weinian 36 2008 Qualitative analysis of a neural network model with multiple time delays. Zbl 1192.37115Campbell, Sue Ann; Ruan, Shigui; Wei, Junjie 36 1999 Persistence and extinction in two species reaction-diffusion systems with delays. Zbl 0936.35092Ruan, Shigui; Zhao, Xiao-Qiang 35 1999 Structured population models in biology and epidemiology. Zbl 1138.92029 33 2008 Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039Freedman, H. I.; Ruan, Shigui 32 1992 Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118Bi, Ping; Ruan, Shigui 32 2013 Global stability in chemostat-type plankton models with delayed nutrient recycling. Zbl 0935.92034He, Xue-Zhong; Ruan, Shigui 32 1998 Stability and bifurcation in delay-differential equations with two delays. Zbl 0946.34066Li, Xiangao; Ruan, Shigui; Wei, Junjie 32 1999 Reaction-diffusion equations with infinite delay. Zbl 0836.35158Ruan, Shigui; Wu, Jianhong 31 1994 Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics. Zbl 1074.92010Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui 31 2005 Global stability in chemostat-type competition models with nutrient recycling. Zbl 0912.34062Ruan, Shigui; He, Xue-Zhong 31 1998 Global stability in chemostat-type equations with distributed delays. Zbl 0916.34064He, Xue-Zhong; Ruan, Shigui; Xia, Huaxing 31 1998 Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. Zbl 1294.34050Chen, Jing; Huang, Jicai; Ruan, Shigui; Wang, Jihua 30 2013 The effects of harvesting and time delay on predator-prey systems with Holling type II functional response. Zbl 1203.34137Xia, Jing; Liu, Zhihua; Yuan, Rong; Ruan, Shigui 30 2009 Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate. Zbl 1421.92034Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei 29 2019 Codimension two bifurcations in a predator-prey system with group defense. Zbl 1091.92504Xiao, Dongmei; Ruan, Shigui 29 2001 Hopf bifurcation in a size-structured population dynamic model with random growth. Zbl 1172.35322Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui 29 2009 Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480Yang, Yu; Ruan, Shigui; Xiao, Dongmei 29 2015 Interaction of diffusion and delay. Zbl 1128.92001Hadeler, Karl P.; Ruan, Shigui 29 2007 An age-structured model for the transmission dynamics of hepatitis B. Zbl 1210.35269Zou, Lan; Ruan, Shigui; Zhang, Weinian 28 2010 Transmission dynamics and optimal control of measles epidemics. Zbl 1338.92135Pang, Liuyong; Ruan, Shigui; Liu, Sanhong; Zhao, Zhong; Zhang, Xinan 27 2015 Global dynamics of avian influenza epidemic models with psychological effect. Zbl 1344.92172Liu, Sanhong; Pang, Liuyong; Ruan, Shigui; Zhang, Xinan 27 2015 Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China. Zbl 1356.92081Feng, Xiaomei; Ruan, Shigui; Teng, Zhidong; Wang, Kai 27 2015 Modeling seasonal rabies epidemics in China. Zbl 1237.92056Zhang, Juan; Jin, Zhen; Sun, Gui-Quan; Sun, Xiang-Dong; Ruan, Shigui 27 2012 Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028Ruan, Shigui 27 1998 Traveling wave solutions in a two-group epidemic model with latent period. Zbl 1367.35192Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui 26 2017 Nonlinear dynamics of avian influenza epidemic models. Zbl 1398.92242Liu, Sanhong; Ruan, Shigui; Zhang, Xinan 26 2017 Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei 25 2018 Spreading speeds and traveling waves in competitive recursion systems. Zbl 1232.92072Lin, Guo; Li, Wan-Tong; Ruan, Shigui 25 2011 Bifurcation of codimension 3 in a predator-prey system of Leslie type with simplified Holling type IV functional response. Zbl 1334.34099Huang, Jicai; Xia, Xiaojing; Zhang, Xinan; Ruan, Shigui 25 2016 Oscillations of second order neutral differential equations. Zbl 0798.34079Ruan, Shigui 24 1993 Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn 24 2006 Traveling wave solutions in a two-group SIR epidemic model with constant recruitment. Zbl 1406.35445Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui 23 2018 Versal unfoldings of predator-prey systems with ratio-dependent functional response. Zbl 1205.34038Ruan, Shigui; Tang, Yilei; Zhang, Weinian 23 2010 Traveling wave solutions in delayed lattice differential equations with partial monotonicity. Zbl 1084.34059Huang, Jianhua; Lu, Gang; Ruan, Shigui 22 2005 Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays. Zbl 1345.92073Bi, Ping; Ruan, Shigui; Zhang, Xinan 22 2014 Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions. Zbl 1416.35285Yang, Fei-Ying; Li, Wan-Tong; Ruan, Shigui 22 2019 Spatial and temporal dynamics of a nonlocal viral infection model. Zbl 1410.35261Zhao, Guangyu; Ruan, Shigui 22 2018 Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125Liu, Zhihua; Magal, Pierre; Ruan, Shigui 22 2014 A periodic Ross-Macdonald model in a patchy environment. Zbl 1327.92059Gao, Daozhou; Lou, Yijun; Ruan, Shigui 22 2014 Age-structured population dynamics with nonlocal diffusion. Zbl 1492.35369Kang, Hao; Ruan, Shigui; Yu, Xiao 1 2022 Nonlinear dynamics in tumor-immune system interaction models with delays. Zbl 1468.34115Ruan, Shigui 8 2021 Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions. Zbl 1456.35083Kang, Hao; Ruan, Shigui 6 2021 Spatial propagation in nonlocal dispersal Fisher-KPP equations. Zbl 1470.35118Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui 4 2021 Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey. Zbl 1453.92339Bai, Dingyong; Kang, Yun; Ruan, Shigui; Wang, Lisha 4 2021 Generalized traveling waves for time-dependent reaction-diffusion systems. Zbl 1475.35100Ambrosio, Benjamin; Ducrot, Arnaud; Ruan, Shigui 4 2021 Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized nonmonotone incidence rate. Zbl 1482.34125Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei 4 2021 Global dynamics of a predator-prey system with density-dependent mortality and ratio-dependent functional response. Zbl 1466.92149Jiang, Xin; She, Zhikun; Ruan, Shigui 3 2021 Global dynamics and complex patterns in Lotka-Volterra systems: the effects of both local and nonlocal intraspecific and interspecific competitions. Zbl 1460.92164Chen, Xianyong; Jiang, Weihua; Ruan, Shigui 2 2021 On first-order hyperbolic partial differential equations with two internal variables modeling population dynamics of two physiological structures. Zbl 1461.35144Kang, Hao; Huo, Xi; Ruan, Shigui 1 2021 Approximation of random diffusion by nonlocal diffusion in age-structured models. Zbl 1464.35391Kang, Hao; Ruan, Shigui 1 2021 Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. Zbl 1440.34052Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei 17 2020 Spatial propagation in an epidemic model with nonlocal diffusion: the influences of initial data and dispersals. Zbl 1464.35384Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui 10 2020 Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period. Zbl 1430.92119Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui 6 2020 Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui 5 2020 Periodic solutions of an age-structured epidemic model with periodic infection rate. Zbl 1460.35353Kang, Hao; Huang, Qimin; Ruan, Shigui 3 2020 Existence of periodic solutions in abstract semilinear equations and applications to biological models. Zbl 1450.35026Su, Qiuyi; Ruan, Shigui 2 2020 Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China. Zbl 1448.92366Zhao, Hongyong; Wu, Peng; Ruan, Shigui 2 2020 Nonlinear physiologically structured population models with two internal variables. Zbl 1464.35367Kang, Hao; Huo, Xi; Ruan, Shigui 2 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 1439.35495Liu, Zuhan; Tian, Canrong; Ruan, Shigui 2 2020 Bifurcation analysis of a dynamical model for the innate immune response to initial pulmonary infections. Zbl 1460.37081Shi, Shujing; Huang, Jicai; Wen, Jing; Ruan, Shigui 1 2020 A patch model of COVID-19: the effects of containment on Chongqing. Zbl 1474.34350Zou, Lan; Ruan, Shigui 1 2020 Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate. Zbl 1421.92034Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei 29 2019 Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions. Zbl 1416.35285Yang, Fei-Ying; Li, Wan-Tong; Ruan, Shigui 22 2019 Bifurcation analysis of a Mosquito population model with a saturated release rate of sterile mosquitoes. Zbl 1428.34066Huang, Jicai; Ruan, Shigui; Yu, Pei; Zhang, Yuyue 13 2019 Pattern formation and synchronism in an allelopathic plankton model with delay in a network. Zbl 1416.34071Tian, Canrong; Ruan, Shigui 12 2019 Modelling diapause in mosquito population growth. Zbl 1411.37070Lou, Yijun; Liu, Kaihui; He, Daihai; Gao, Daozhou; Ruan, Shigui 8 2019 Local and global stabilities of a viral dynamics model with infection-age and immune response. Zbl 1417.35210Pang, Jianhua; Chen, Jing; Liu, Zijian; Bi, Ping; Ruan, Shigui 7 2019 Modeling the seasonality of Methicillin-resistant Staphylococcus aureus infections in hospitals with environmental contamination. Zbl 1447.92429Huang, Qimin; Huo, Xi; Miller, Darlene; Ruan, Shigui 4 2019 Optimal control of environmental cleaning and antibiotic prescription in an epidemiological model of methicillin-resistant Staphylococcus aureus infections in hospitals. Zbl 1425.92129Huang, Qimin; Huo, Xi; Ruan, Shigui 3 2019 Modeling the transmission dynamics of rabies for dog, Chinese ferret badger and human interactions in Zhejiang province, China. Zbl 1415.92183Huang, Jicai; Ruan, Shigui; Shu, Yaqin; Wu, Xiao 2 2019 Modeling the effect of antibiotic exposure on the transmission of methicillin-resistant Staphylococcus aureus in hospitals with environmental contamination. Zbl 1497.92154Huang, Qimin; Horn, Mary Ann; Ruan, Shigui 1 2019 Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002Magal, Pierre; Ruan, Shigui 49 2018 Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei 25 2018 Traveling wave solutions in a two-group SIR epidemic model with constant recruitment. Zbl 1406.35445Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui 23 2018 Spatial and temporal dynamics of a nonlocal viral infection model. Zbl 1410.35261Zhao, Guangyu; Ruan, Shigui 22 2018 Traveling wave solutions for time periodic reaction-diffusion systems. Zbl 1397.35057Bo, Wei-Jian; Lin, Guo; Ruan, Shigui 17 2018 Analysis of a dengue model with vertical transmission and application to the 2014 dengue outbreak in Guangdong Province, China. Zbl 1400.92569Zou, Lan; Chen, Jing; Feng, Xiaomei; Ruan, Shigui 11 2018 Fast propagation for reaction-diffusion cooperative systems. Zbl 1388.35106Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui 8 2018 Modeling and analysis of a nonlinear age-structured model for tumor cell populations with quiescence. Zbl 1403.35304Liu, Zijian; Chen, Jing; Pang, Jianhua; Bi, Ping; Ruan, Shigui 5 2018 On an advection-reaction-diffusion competition system with double free boundaries modeling invasion and competition of Aedes albopictus and Aedes aegypti mosquitoes. Zbl 1403.35308Tian, Canrong; Ruan, Shigui 3 2018 Modeling the importation and local transmission of vector-borne diseases in Florida: the case of Zika outbreak in 2016. Zbl 1406.92560Chen, 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 1367.35192Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui 26 2017 Nonlinear dynamics of avian influenza epidemic models. Zbl 1398.92242Liu, Sanhong; Ruan, Shigui; Zhang, Xinan 26 2017 Global properties of vector-host disease models with time delays. Zbl 1403.92287Cai, Li-Ming; Li, Xue-Zhi; Fang, Bin; Ruan, Shigui 18 2017 On the existence of axisymmetric traveling fronts in Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\). Zbl 1360.35097Wang, Zhi-Cheng; Niu, Hui-Ling; Ruan, Shigui 15 2017 Modeling the transmission dynamics and control of rabies in China. Zbl 1366.92130Ruan, Shigui 11 2017 A free boundary problem for Aedes aegypti mosquito invasion. Zbl 1443.92035Tian, Canrong; Ruan, Shigui 8 2017 A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland regions of China. Zbl 1382.37100Li, Yingke; Teng, Zhidong; Ruan, Shigui; Li, Mingtao; Feng, Xiaomei 8 2017 Avian influenza A H7N9 virus has been established in China. Zbl 1397.92701Zhang, 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 1399.30020Ruan, 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 1373.92115Zhang, Li; Zhang, Fan; Ruan, Shigui 2 2017 Bifurcation and temporal periodic patterns in a plant-pollinator model with diffusion and time delay effects. Zbl 1448.92375Huang, 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 1334.34099Huang, Jicai; Xia, Xiaojing; Zhang, Xinan; Ruan, Shigui 25 2016 Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. Zbl 1349.35198Wang, ZhiCheng; Li, WanTong; Ruan, ShiGui 20 2016 Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting. Zbl 1347.34060Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Zhang, Xinan 20 2016 Modeling and control of local outbreaks of West Nile virus in the United States. Zbl 1351.37272Chen, Jing; Huang, Jicai; Beier, John C.; Cantrell, Robert Stephen; Cosner, Chris; Fuller, Douglas O.; Zhang, Guoyan; Ruan, Shigui 16 2016 Oscillations in age-structured models of consumer-resource mutualisms. Zbl 1330.35473Liu, Zhihua; Magal, Pierre; Ruan, Shigui 13 2016 Coinfection dynamics of two diseases in a single host population. Zbl 1357.92070Gao, Daozhou; Porco, Travis C.; Ruan, Shigui 12 2016 Normal forms for an age structured model. Zbl 1350.35021Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui 9 2016 Persistence and failure of complete spreading in delayed reaction-diffusion equations. Zbl 1339.35144Lin, 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 1331.34160Yang, Yu; Zou, Lan; Ruan, Shigui 81 2015 Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376Shi, Hong-Bo; Ruan, Shigui 46 2015 Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui 41 2015 Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480Yang, Yu; Ruan, Shigui; Xiao, Dongmei 29 2015 Transmission dynamics and optimal control of measles epidemics. Zbl 1338.92135Pang, Liuyong; Ruan, Shigui; Liu, Sanhong; Zhao, Zhong; Zhang, Xinan 27 2015 Global dynamics of avian influenza epidemic models with psychological effect. Zbl 1344.92172Liu, Sanhong; Pang, Liuyong; Ruan, Shigui; Zhang, Xinan 27 2015 Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China. Zbl 1356.92081Feng, Xiaomei; Ruan, Shigui; Teng, Zhidong; Wang, Kai 27 2015 Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case. Zbl 1318.34107Wu, Shi-Liang; Ruan, Shigui 21 2015 Spatiotemporal dynamics of a diffusive Leslie-Gower predator-prey model with ratio-dependent functional response. Zbl 1317.35268Shi, Hong-Bo; Ruan, Shigui; Su, Ying; Zhang, Jia-Fang 16 2015 Spatial dynamics of a lattice population model with two age classes and maturation delay. Zbl 1375.92059Wu, Shi-Liang; Weng, Peixuan; Ruan, Shigui 9 2015 On the sexual transmission dynamics of hepatitis B virus in China. Zbl 1406.92650Zou, Lan; Ruan, Shigui; Zhang, Weinian 7 2015 The decay rates of traveling waves and spectral analysis for a class of nonlocal evolution equations. Zbl 1338.35236Zhao, G.; Ruan, S. 6 2015 Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response. Zbl 1326.34082Huang, Jicai; Ruan, Shigui; Song, Jing 107 2014 Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. Zbl 1311.35052Lin, Guo; Ruan, Shigui 50 2014 Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems. Zbl 1304.35199Zhao, Guangyu; Ruan, Shigui 44 2014 Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays. Zbl 1345.92073Bi, Ping; Ruan, Shigui; Zhang, Xinan 22 2014 Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125Liu, Zhihua; Magal, Pierre; Ruan, Shigui 22 2014 A periodic Ross-Macdonald model in a patchy environment. Zbl 1327.92059Gao, Daozhou; Lou, Yijun; Ruan, Shigui 22 2014 A modeling approach to investigate epizootic outbreaks and enzootic maintenance of rift valley fever virus. Zbl 1300.92093Chamchod, 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 1315.92081Magal, Pierre; Ruan, Shigui 4 2014 Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092Huang, Jicai; Gong, Yijun; Ruan, Shigui 66 2013 Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118Bi, Ping; Ruan, Shigui 32 2013 Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. Zbl 1294.34050Chen, Jing; Huang, Jicai; Ruan, Shigui; Wang, Jihua 30 2013 Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219Wang, Z.-C.; Li, W.-T.; Ruan, S. 17 2013 On the dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response. Zbl 1371.37140Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui 12 2013 Modeling the spatial spread of rift valley fever in Egypt. Zbl 1273.92033Gao, Daozhou; Cosner, Chris; Cantrell, Robert Stephen; Beier, John C.; Ruan, Shigui 10 2013 Single species models with logistic growth and dissymmetric impulse dispersal. Zbl 1402.92378Zhang, Long; Teng, Zhidong; DeAngelis, Donald L.; Ruan, Shigui 7 2013 Global dynamics and bifurcations in a four-dimensional replicator system. Zbl 1262.34052Wang, Yuanshi; Wu, Hong; Ruan, Shigui 4 2013 A multipatch malaria model with logistic growth populations. Zbl 1250.92029Gao, Daozhou; Ruan, Shigui 53 2012 Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui 48 2012 Modeling seasonal rabies epidemics in China. Zbl 1237.92056Zhang, 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 1272.35118Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui 15 2012 Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions. Zbl 1259.34028Liu, Dan; Ruan, Shigui; Zhu, Deming 12 2012 A delay equation model for oviposition habitat selection by mosquitoes. Zbl 1253.35187Gourley, Stephen A.; Ruan, Shigui 9 2012 Dynamics of rabies epidemics and the impact of control efforts in Guangdong province, China. Zbl 1397.92638Hou, Qiang; Jin, Zhen; Ruan, Shigui 7 2012 Spatial spread of rabies in China. Zbl 1304.92126Zhang, Juan; Jin, Zhen; Sun, Guiquan; Sun, Xiangdong; Ruan, Shigui 6 2012 Center-unstable manifolds for nondensely defined Cauchy problems and applications to stability of Hopf bifurcation. Zbl 1341.34062Liu, Zhihua; Magal, Pierre; Ruan, Shigui 6 2012 Periodic orbits near heteroclinic cycles in a cyclic replicator system. Zbl 1259.34039Wang, 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 1227.35125Zhao, Guangyu; Ruan, Shigui 74 2011 ...and 116 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,047 Authors 123 Ruan, Shigui 105 Li, Wan-Tong 102 Wei, Junjie 77 Teng, Zhi-dong 49 Lin, Guo 46 Ma, Wanbiao 46 Song, Yongli 46 Wang, Zhi Cheng 46 Wu, Shiliang 43 Yuan, Rong 43 Yuan, Sanling 41 Jiang, Daqing 41 Xu, Rui 37 Elaiw, Ahmed M. 37 Jiang, Weihua 36 Cao, Jinde 36 Magal, Pierre 35 Wang, Wendi 34 Chen, Lansun 34 Jin, Zhen 32 Song, Xinyu 31 Banerjee, Malay 31 Huo, Hai-Feng 31 Li, Xuezhi 31 Liu, Shengqiang 31 Takeuchi, Yasuhiro 30 Wang, Weiming 30 Wu, Jianhong 30 Zhang, Tonghua 30 Zhao, Xiao-Qiang 29 Liu, Zhihua 28 Huang, Jicai 28 Huang, Lihong 28 Pan, Shuxia 28 Zou, Xingfu 27 Chen, Yuming 27 Samanta, Guru Prasad 27 Shi, Junping 26 Meng, Fanwei 26 Wang, Lin 25 Cui, Jingan 25 Zhu, Huaiping 24 Guo, Shangjiang 24 Sun, Guiquan 24 Xu, Changjin 23 Adimy, Mostafa 23 Ducrot, Arnaud 23 Kar, Tapan Kumar 23 Xiao, Dongmei 23 Yang, Yu 23 Zhao, Hongyong 22 Hsu, Cheng-Hsiung 22 Wang, Yuanshi 21 Yu, Zhixian 20 Dai, Binxiang 20 Feng, Zhaosheng 20 Gao, Daozhou 20 Wang, Xia 20 Yan, Xiangping 20 Zhang, Long 19 Cai, Yongli 19 Chattopadhyay, Joydev 19 Chen, Shanshan 19 Weng, Peixuan 18 Han, Maoan 18 Hayat, Tasawar 18 Kumar Upadhyay, Ranjit 18 Niu, Ben 18 Wang, Jinliang 18 Zhang, Fengqin 17 Bairagi, Nandadulal 17 Li, Michael Yi 17 Lin, Yiping 17 Trofimchuk, Sergei I. 17 Xu, Zhiting 17 Yuan, Yuan 16 Cai, Liming 16 Jiang, Zhichao 16 Liao, Xiaofeng 16 Lou, Yijun 16 Pal, Samaresh 16 Rong, Libin 16 Xiao, Yanni 16 Zhang, Chunrui 16 Zhang, Liang 16 Zhang, Tailei 16 Zhang, Weinian 16 Zhang, Xinan 15 Dai, Yunxian 15 Kuniya, Toshikazu 15 Liu, Gui Rong 15 Liu, Rong 15 Meng, Xinzhu 15 Nie, Linfei 15 Tian, Canrong 15 Wang, Jiabing 15 Wang, Qiru 15 Wei, Jingdong 15 Zhao, Min 15 Zhou, Jiangbo ...and 4,947 more Authors all top 5 Cited in 308 Serials 255 Applied Mathematics and Computation 232 Nonlinear Analysis. 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