Edit Profile Song, Xinyu Compute Distance To: Compute Author ID: song.xinyu Published as: Song, Xin-Yu; Song, Xin-yu; Song, Xinyu External Links: ORCID Documents Indexed: 177 Publications since 1996 Reviewing Activity: 61 Reviews all top 5 Co-Authors 1 single-authored 32 Chen, Lansun 31 Wang, Xia 22 Guo, Hongjian 20 Shi, Xiangyun 19 Zhou, Xueyong 13 Huang, Mingzhan 9 Tao, Youde 9 Xiang, Zhongyi 8 Cai, Liming 8 Cui, Jingan 7 Li, An 7 Wang, Shaoli 7 Zhao, Zhong 6 Li, Yongfeng 6 Liu, Shouzong 5 Jiang, Yu 4 Dong, Li 4 Jiang, Xiaowu 4 Li, Xuezhi 4 Tang, Jingyong 3 Li, Senlin 3 Liu, Shengqiang 3 Mei, Liquan 3 Wei, Huiming 3 Zhang, Zhonghua 2 Fu, Liyong 2 Ge, Zhihao 2 Guo, Shumin 2 Huang, Chengdai 2 Li, Jiaxu 2 Li, Shuai 2 Neumann, Avidan U. 2 Qiu, Suizheng 2 Rong, Libin 2 Su, Guanghui 2 Suo, Yaohong 2 Tang, Shouzheng 2 Tian, Yuan 2 Wang, Zhixiang 2 Xu, Fei 2 Ye, Kaili 2 Zhang, Jiafang 1 Cao, Jinde 1 Chen, Qingjiang 1 Chen, Yuefen 1 Chen, Yuming 1 Cheng, Huidong 1 Cheng, Shuhan 1 Ding, Xuemei 1 Dong, Jing 1 Elaiw, Ahmed M. 1 Fang, Bin 1 Fang, Qinhua 1 Guo, Zhen 1 Hao, Meiying 1 Huang, Jicai 1 Lei, Yuancai 1 Li, Gang 1 Li, Jia 1 Li, Zhaoqing 1 Lin, Daniel W. 1 Liu, Xiafei 1 Liu, Yingan 1 Long, Dan 1 Lou, Yijun 1 Meng, Lei 1 Meng, Xinzhu 1 Mink, Gregory 1 Pang, Liuyong 1 Peng, Yucheng 1 Sharma, Ram Parkash 1 Song, Fang 1 Song, Qiang 1 Sun, Yan 1 Tang, Sanyi 1 Tian, Weijun 1 Wang, Fuqun 1 Wang, Hong 1 Wang, Juan 1 Wang, Mingliang 1 Wang, Shuli 1 Wang, Zuoheng 1 Wu, Jianhua 1 Wu, Jingang 1 Xiao, Min 1 Xiao, Yanni 1 Xu, Dashun 1 Xu, Jing 1 Yang, Hongzhi 1 Yu, Jingyuan 1 Yu, Min 1 Yu, Tingting 1 Zhang, Fengqin 1 Zhang, Huiru 1 Zhang, Juan 1 Zhang, Ying 1 Zhang, Ying 1 Zhang, Yuyue 1 Zhao, Xiang 1 Zheng, Lili all top 5 Serials 17 Applied Mathematics and Computation 12 International Journal of Biomathematics 9 Chaos, Solitons and Fractals 8 Applied Mathematical Modelling 7 Journal of Biomathematics 7 Nonlinear Dynamics 6 Nonlinear Analysis. Real World Applications 6 Journal of Applied Mathematics and Computing 5 Mathematica Applicata 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Journal of the Korean Mathematical Society 4 Computational and Applied Mathematics 4 Chinese Quarterly Journal of Mathematics 4 Discrete Dynamics in Nature and Society 4 Communications in Nonlinear Science and Numerical Simulation 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 4 Journal of Biological Dynamics 3 Mathematical Methods in the Applied Sciences 3 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Journal of Mathematical Research & Exposition 2 Journal of Systems Science and Mathematical Sciences 2 SIAM Journal on Applied Mathematics 2 Applied Mathematics. Series A (Chinese Edition) 2 Applied Mathematics. Series B (English Edition) 2 Differential Equations and Dynamical Systems 2 Journal of Systems Science and Complexity 2 Advances in Complex Systems 2 Nonlinear Analysis. Hybrid Systems 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Studies in Applied Mathematics 1 Acta Mathematicae Applicatae Sinica 1 Mathematics in Practice and Theory 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 Mathematical and Computer Modelling 1 International Journal of Computer Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The Canadian Applied Mathematics Quarterly 1 Turkish Journal of Mathematics 1 Complexity 1 Mathematical Population Studies 1 Journal of Biological Systems 1 Acta Analysis Functionalis Applicata. AAFA 1 International Journal of Differential Equations and Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of Henan Normal University. Natural Science 1 Journal of Applied Mathematics 1 Stochastics and Dynamics 1 Journal of Xuzhou Normal University. Natural Science Edition 1 Advances in Difference Equations 1 Journal of Xinyang Normal University. Natural Science Edition 1 Chinese Journal of Engineering Mathematics 1 Journal of Applied Mathematics & Informatics all top 5 Fields 157 Biology and other natural sciences (92-XX) 146 Ordinary differential equations (34-XX) 24 Dynamical systems and ergodic theory (37-XX) 13 Systems theory; control (93-XX) 8 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 4 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 129 Publications have been cited 1,443 times in 1,040 Documents Cited by ▼ Year ▼ Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049Song, Xinyu; Chen, Lansun 133 2001 Global stability and periodic solution of the viral dynamics. Zbl 1105.92011Song, Xinyu; Neumann, Avidan U. 103 2007 Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect. Zbl 1142.34031Song, Xinyu; Li, Yongfeng 63 2008 Modeling impulsive injections of insulin: towards artificial pancreas. Zbl 1325.92045Huang, Mingzhan; Li, Jiaxu; Song, Xinyu; Guo, Hongjian 33 2012 Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay. Zbl 0903.92029Song, Xinyu; Chen, Lansun 33 1998 Optimal harvesting and stability for a predator-prey system with stage structure. Zbl 1054.34125Song, Xin-yu; Chen, Lan-sun 32 2002 Global properties of a delayed HIV infection model with CTL immune response. Zbl 1245.92036Wang, Xia; Elaiw, Ahmed; Song, Xinyu 29 2012 Dynamical behavior of a delay virus dynamics model with CTL immune response. Zbl 1204.34110Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 28 2010 Modelling and analysis of a single-species system with stage structure and harvesting. Zbl 1024.92015Song, Xinyu; Chen, Lansun 28 2002 Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect. Zbl 1136.34046Song, Xinyu; Li, Yongfeng 26 2007 Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response. Zbl 1208.34128Song, Xinyu; Wang, Shaoli; Dong, Jing 25 2011 An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes. Zbl 1148.34034Guo, Hongjian; Song, Xinyu 25 2008 Permanence of predator-prey system with stage structure. Zbl 1100.92062Cui, Jingan; Song, Xinyu 25 2004 A stage-structured predator-prey model with disturbing pulse and time delays. Zbl 1167.34372Song, Xinyu; Hao, Meiying; Meng, Xinzhu 24 2009 Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Zbl 1168.92326Song, Xinyu; Jiang, Yu; Wei, Huiming 24 2009 Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. Zbl 1151.92030Zhao, Zhong; Chen, Lansun; Song, Xinyu 24 2008 Permanence and stability of a predator-prey system with stage structure for predator. Zbl 1117.34070Cai, Liming; Song, Xinyu 24 2007 Extinction and permanence of chemostat model with pulsed input in a polluted environment. Zbl 1221.37209Zhao, Zhong; Chen, Lansun; Song, Xinyu 23 2009 Analysis of a stage-structured predator-prey model with Crowley-Martin function. Zbl 1222.34054Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 22 2011 A delay-differential equation model of HIV infection of \(CD4^+\) T-cells. Zbl 1078.92042Song, Xinyu; Cheng, Shuhan 22 2005 Persistence and periodic orbits for two-species predator-prey system with diffusion. Zbl 0941.92032Song, Xinyu; Chen, Lansun 22 1998 A delayed HIV-1 infection model with Beddington-DeAngelis functional response. Zbl 1209.34102Wang, Xia; Tao, Youde; Song, Xinyu 21 2010 Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay. Zbl 1147.34355Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 21 2008 Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response. Zbl 1242.92045Wang, Xia; Tao, Youde; Song, Xinyu 20 2011 Properties of stability and Hopf bifurcation for a HIV infection model with time delay. Zbl 1193.34152Song, Xinyu; Zhou, Xueyong; Zhao, Xiang 20 2010 Analysis of stability and Hopf bifurcation for an HIV infection model with time delay. Zbl 1136.92027Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 19 2008 Conditions for global attractivity of \(n\)-patches predator-prey dispersion-delay models. Zbl 0982.34061Song, Xinyu; Chen, Lansun 18 2001 Periodic solutions and homoclinic bifurcation of a predator-prey system with two types of harvesting. Zbl 1281.92069Huang, Mingzhan; Liu, Shouzong; Song, Xinyu; Chen, Lansun 17 2013 Dynamics analysis of a delayed viral infection model with immune impairment. Zbl 1228.34085Wang, Shaoli; Song, Xinyu; Ge, Zhihao 17 2011 Effect of prey refuge on a harvested predator-prey model with generalized functional response. Zbl 1221.34149Tao, Youde; Wang, Xia; Song, Xinyu 17 2011 Ratio-dependent predator-prey system with stage structure for prey. Zbl 1114.92056Song, Xinyu; Cai, Liming; Neumann, Avidan U. 17 2004 Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive control strategy. Zbl 1163.92332Xiang, Zhongyi; Li, Yongfeng; Song, Xinyu 15 2009 Uniform persistence and global attractivity for nonautonomous competitive systems with dispersion. Zbl 1027.92027Song, Xinyu; Chen, Lansun 15 2002 Analysis of stability and Hopf bifurcation for a delay-differential equation model of HIV infection of CD4\(^+\) T-cells. Zbl 1146.34313Jiang, Xiaowu; Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 14 2008 Periodic solution of a delay differential equation of plankton allelopathy. Zbl 1036.34082Song, Xinyu; Chen, Lansun 14 2003 A modified Leslie-Gower predator-prey model with prey infection. Zbl 1205.34061Zhou, Xueyong; Cui, Jingan; Shi, Xiangyun; Song, Xinyu 13 2010 Global stability of a stage-structured predator-prey system. Zbl 1173.34043Song, Xinyu; Guo, Hongjian 13 2008 Analysis of a delay prey-predator model with disease in the prey species only. Zbl 1168.92328Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 12 2009 Global stability and periodic solution of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1117.92040Wang, Xia; Song, Xinyu 12 2007 Mathematical models for the control of a pest population by infected pest. Zbl 1145.92339Wang, Xia; Song, Xinyu 11 2008 Age-structured within-host HIV dynamics with multiple target cells. Zbl 1360.35304Wang, Xia; Lou, Yijun; Song, Xinyu 10 2017 A delayed Lotka-Volterra model with birth pulse and impulsive effect at different moment on the prey. Zbl 1293.92021Xiang, Zhongyi; Long, Dan; Song, Xinyu 10 2013 Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response. Zbl 1203.34134Song, Xinyu; Wang, Shaoli; Zhou, Xueyong 10 2010 The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response. Zbl 1197.34012Xiang, Zhongyi; Song, Xinyu 10 2009 Practical stability of nonlinear differential equation with initial time difference. Zbl 1168.34341Song, Xinyu; Li, Senlin; Li, An 10 2008 The stage-structured predator-prey system with delay and harvesting. Zbl 1049.34096Song, Xinyu; Cui, Jing’an 10 2002 Geometric properties of solution of a cylindrical dynamic system with impulsive state feedback control. Zbl 1309.34012Guo, Hongjian; Chen, Lansun; Song, Xinyu 9 2015 Dynamical behavior of a virus dynamics model with CTL immune response. Zbl 1165.92027Zhou, Xueyong; Shi, Xiangyun; Zhang, Zhonghua; Song, Xinyu 9 2009 Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay. Zbl 1162.92038Wei, Huiming; Jiang, Yu; Song, Xinyu; Su, G. H.; Qiu, S. Z. 9 2009 Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. Zbl 1162.92323Wang, Xia; Tao, Youde; Song, Xinyu 9 2009 Analysis of competitive chemostat models with the Beddington-DeAngelis functional response and impulsive effect. Zbl 1137.34026Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 9 2007 Harmless delays and global attractivity for nonautonomous predator-prey system with dispersion. Zbl 0952.34063Song, Xinyu; Chen, Lansun 9 2000 Qualitative analysis of a Korean pine forest model with impulsive thinning measure. Zbl 1298.92062Guo, Hongjian; Song, Xinyu; Chen, Lansun 7 2014 Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Zbl 1234.92059Wang, Xia; Tao, Youde; Song, Xinyu 7 2011 The domain of attraction for the endemic equilibrium of an SIRS epidemic model. Zbl 1217.92076Zhang, Zhonghua; Wu, Jianhua; Suo, Yaohong; Song, Xinyu 7 2011 On the study of chemostat model with pulsed input in a polluted environment. Zbl 1187.34063Zhao, Zhong; Song, Xinyu 7 2007 Extinction and permanence of a kind of pest-predator models with impulsive effect and infinite delay. Zbl 1143.34052Song, Xinyu; Guo, Hongjian 7 2007 A model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with periodic input. Zbl 1126.92061Xiang, Zhongyi; Song, Xinyu 7 2007 Extinction and permanence of a two-prey two-predator system with impulsive on the predator. Zbl 1142.34306Xiang, Zhongyi; Song, Xinyu 7 2006 Dynamics of an HIV model with multiple infection stages and treatment with different drug classes. Zbl 1356.92060Wang, Xia; Song, Xinyu; Tang, Sanyi; Rong, Libin 6 2016 Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057Huang, Mingzhan; Song, Xinyu 6 2014 Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control. Zbl 1242.92036Wang, Shaoli; Wang, Shuli; Song, Xinyu 6 2012 Stability and boundedness of nonlinear impulsive systems in terms of two measures via perturbing Lyapunov functions. Zbl 1216.34011Li, An; Song, Xinyu 6 2011 Mathematical model for the control of a pest population with impulsive perturbations on diseased pest. Zbl 1205.34102Wang, Xia; Tao, Youde; Song, Xinyu 6 2009 Stability and Hopf bifurcation of an eco-epidemiological model with delays. Zbl 1071.34078Song, Xinyu; Xiao, Yanni; Chen, Lansun 6 2005 Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. Zbl 1427.34056Cai, Liming; Huang, Jicai; Song, Xinyu; Zhang, Yuyue 5 2019 Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control. Zbl 1376.34047Guo, Hongjian; Chen, Lansun; Song, Xinyu 5 2017 Modeling impulsive insulin delivery in insulin pump with time delays. Zbl 1330.92060Song, Xinyu; Huang, Mingzhan; Li, Jiaxu 5 2014 The dynamics of an eco-epidemiological model with distributed delay. Zbl 1175.93022Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 5 2009 Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. Zbl 1165.92034Jiang, Yu; Wei, Huiming; Song, Xinyu; Mei, Liquan; Su, Guanghui; Qiu, Suizheng 5 2009 Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions. Zbl 1156.34329Li, Senlin; Song, Xinyu; Li, An 5 2008 Modeling and analysis of a harvesting fishery model in a two-patch environment. Zbl 1155.92348Cai, Liming; Li, Xuezhi; Song, Xinyu 5 2008 Global properties of a model of immune effector responses to viral infections. Zbl 1147.92019Wang, Xia; Song, Xinyu 5 2007 Global asymptotic stability of a two species competitive system with stage structure and harvesting. Zbl 0994.34066Song, Xinyu; Chen, Lansun 5 2001 Modeling, analysis and bifurcation control of a delayed fractional-order predator-prey model. Zbl 1401.34093Huang, Chengdai; Song, Xinyu; Fang, Bin; Xiao, Min; Cao, Jinde 4 2018 Study of species in cooperative systems with impulsive state feedback control. Zbl 1274.34143Huang, Mingzhan; Song, Xinyu; Guo, Hongjian; Meng, Lei 4 2012 Stability properties of a delayed viral infection model with lytic immune response. Zbl 1233.34032Song, Fang; Wang, Xia; Song, Xinyu 4 2011 Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions. Zbl 1223.34012Song, Xinyu; Li, An 4 2011 Dynamical properties of a delay prey-predator model with disease in the prey species only. Zbl 1210.37072Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 4 2010 Mathematical models of restoration and control of a single species with Allee effect. Zbl 1201.34016Guo, Hongjian; Chen, Lansun; Song, Xinyu 4 2010 Bifurcation and complex dynamics of a two-prey two-predator system concerning periodic biological and chemical control. Zbl 1146.34039Xiang, Zhongyi; Song, Xinyu; Zhang, Fengqin 4 2008 Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input. Zbl 1107.92057Song, Xinyu; Zhao, Zhong 4 2006 A predator-prey system with stage structure and harvesting for predator. Zbl 1023.34075Song, Xinyu; Chen, Lansun 4 2002 Dynamical analysis of a pest management Leslie-Gower model with ratio-dependent functional response. Zbl 1398.92263Xu, Jing; Tian, Yuan; Guo, Hongjian; Song, Xinyu 3 2018 Dynamics of virus infection models with density-dependent diffusion. Zbl 1396.92087Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu 3 2017 Influence of raltegravir intensification on viral load and 2-LTR dynamics in HIV patients on suppressive antiretroviral therapy. Zbl 1368.92105Wang, Xia; Mink, Gregory; Lin, Daniel; Song, Xinyu; Rong, Libin 3 2017 Cost-effectiveness analysis of optimal strategy for tumor treatment. Zbl 1355.92052Pang, Liuyong; Zhao, Zhong; Song, Xinyu 3 2016 Dynamics of a non-autonomous HIV-1 infection model with delays. Zbl 1300.92053Wang, Xia; Liu, Shengqiang; Song, Xinyu 3 2013 A class of delayed virus dynamics models with multiple target cells. Zbl 1315.34088Wang, Xia; Chen, Yuefen; Liu, Shengqiang; Song, Xinyu 3 2013 Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate. Zbl 1228.34102Jiang, Yu; Mei, Liquan; Song, Xinyu 3 2011 Dynamical behavior for an eco-epidemiological model with discrete and distributed delay. Zbl 1190.92044Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 3 2010 Analysis of pulse vaccination strategy in SIRVS epidemic model. Zbl 1221.37201Wang, Xia; Tao, Youde; Song, Xinyu 3 2009 Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Zbl 1205.34101Wang, Xia; Song, Qiang; Song, Xinyu 3 2009 A delay differential equation model of HIV infection of \(\text{CD4}^{+}T\)-cells with cure rate. Zbl 1226.34082Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 3 2009 Dynamics of a predator-prey system with pulses. Zbl 1152.92354Li, Yongfeng; Cui, Jingan; Song, Xinyu 3 2008 Uniform persistence and global attractivity for nonautonomous competitive systems with nonlinear dispersion and delays. Zbl 1026.92046Song, Xinyu; Cui, Jing’an 3 2003 Optimal harvesting policy and stability for single-species growth model with stage structure. Zbl 0996.92038Song, Xinyu; Chen, Lansun 3 2002 An age-structured epidemic model with waning immunity and general nonlinear incidence rate. Zbl 1395.35185Wang, Xia; Zhang, Ying; Song, Xinyu 2 2018 Modeling impulsive resource inputs in host-parasitoid interactions with time delays. Zbl 1397.34147Liu, Shouzong; Huang, Mingzhan; Song, Xinyu; Li, Shuai; Cheng, Huidong 2 2018 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296Huang, Mingzhan; Song, Xinyu; Li, Jia 2 2017 Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. Zbl 1427.34056Cai, Liming; Huang, Jicai; Song, Xinyu; Zhang, Yuyue 5 2019 Bifurcation based-delay feedback control strategy for a fractional-order two-prey one-predator system. Zbl 1420.92093Li, Shuai; Huang, Chengdai; Song, Xinyu 1 2019 Modeling, analysis and bifurcation control of a delayed fractional-order predator-prey model. Zbl 1401.34093Huang, Chengdai; Song, Xinyu; Fang, Bin; Xiao, Min; Cao, Jinde 4 2018 Dynamical analysis of a pest management Leslie-Gower model with ratio-dependent functional response. Zbl 1398.92263Xu, Jing; Tian, Yuan; Guo, Hongjian; Song, Xinyu 3 2018 An age-structured epidemic model with waning immunity and general nonlinear incidence rate. Zbl 1395.35185Wang, Xia; Zhang, Ying; Song, Xinyu 2 2018 Modeling impulsive resource inputs in host-parasitoid interactions with time delays. Zbl 1397.34147Liu, Shouzong; Huang, Mingzhan; Song, Xinyu; Li, Shuai; Cheng, Huidong 2 2018 Age-structured within-host HIV dynamics with multiple target cells. Zbl 1360.35304Wang, Xia; Lou, Yijun; Song, Xinyu 10 2017 Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control. Zbl 1376.34047Guo, Hongjian; Chen, Lansun; Song, Xinyu 5 2017 Dynamics of virus infection models with density-dependent diffusion. Zbl 1396.92087Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu 3 2017 Influence of raltegravir intensification on viral load and 2-LTR dynamics in HIV patients on suppressive antiretroviral therapy. Zbl 1368.92105Wang, Xia; Mink, Gregory; Lin, Daniel; Song, Xinyu; Rong, Libin 3 2017 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296Huang, Mingzhan; Song, Xinyu; Li, Jia 2 2017 Dynamics of virus infection models with density-dependent diffusion and Beddington-DeAngelis functional response. Zbl 1386.35408Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu 2 2017 Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission. Zbl 1447.92487Wang, Xia; Tang, Sanyi; Song, Xinyu; Rong, Libin 1 2017 Stability of a convex order one periodic solution of unilateral asymptotic type. Zbl 1390.34041Huang, Mingzhan; Chen, Lansun; Song, Xinyu 1 2017 A kind of non-traditional biomanipulation model with constant releasing fish. Zbl 1371.34068Guo, Hongjian; Chen, Lansun; Song, Xinyu 1 2017 Global properties for an age-structured within-host model with Crowley-Martin functional response. Zbl 1360.37185Wang, Shaoli; Song, Xinyu 1 2017 Dynamics of an HIV model with multiple infection stages and treatment with different drug classes. Zbl 1356.92060Wang, Xia; Song, Xinyu; Tang, Sanyi; Rong, Libin 6 2016 Cost-effectiveness analysis of optimal strategy for tumor treatment. Zbl 1355.92052Pang, Liuyong; Zhao, Zhong; Song, Xinyu 3 2016 Geometric properties of solution of a cylindrical dynamic system with impulsive state feedback control. Zbl 1309.34012Guo, Hongjian; Chen, Lansun; Song, Xinyu 9 2015 Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property. Zbl 1410.93053Guo, Hongjian; Chen, Lansun; Song, Xinyu 2 2015 A within-host virus model with multiple infected stages under time-varying environments. Zbl 1410.92141Wang, Xia; Liu, Shengqiang; Song, Xinyu 1 2015 Qualitative analysis of a Korean pine forest model with impulsive thinning measure. Zbl 1298.92062Guo, Hongjian; Song, Xinyu; Chen, Lansun 7 2014 Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057Huang, Mingzhan; Song, Xinyu 6 2014 Modeling impulsive insulin delivery in insulin pump with time delays. Zbl 1330.92060Song, Xinyu; Huang, Mingzhan; Li, Jiaxu 5 2014 Periodic solutions and homoclinic bifurcations of two predator-prey systems with nonmonotonic functional response and impulsive harvesting. Zbl 1406.92664Huang, Mingzhan; Song, Xinyu 1 2014 Periodic solutions and homoclinic bifurcation of a predator-prey system with two types of harvesting. Zbl 1281.92069Huang, Mingzhan; Liu, Shouzong; Song, Xinyu; Chen, Lansun 17 2013 A delayed Lotka-Volterra model with birth pulse and impulsive effect at different moment on the prey. Zbl 1293.92021Xiang, Zhongyi; Long, Dan; Song, Xinyu 10 2013 Dynamics of a non-autonomous HIV-1 infection model with delays. Zbl 1300.92053Wang, Xia; Liu, Shengqiang; Song, Xinyu 3 2013 A class of delayed virus dynamics models with multiple target cells. Zbl 1315.34088Wang, Xia; Chen, Yuefen; Liu, Shengqiang; Song, Xinyu 3 2013 Modeling impulsive injections of insulin: towards artificial pancreas. Zbl 1325.92045Huang, Mingzhan; Li, Jiaxu; Song, Xinyu; Guo, Hongjian 33 2012 Global properties of a delayed HIV infection model with CTL immune response. Zbl 1245.92036Wang, Xia; Elaiw, Ahmed; Song, Xinyu 29 2012 Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control. Zbl 1242.92036Wang, Shaoli; Wang, Shuli; Song, Xinyu 6 2012 Study of species in cooperative systems with impulsive state feedback control. Zbl 1274.34143Huang, Mingzhan; Song, Xinyu; Guo, Hongjian; Meng, Lei 4 2012 On the study of an integrated pest control model with state-dependent impulsive effect. Zbl 1289.34124Shi, Xiangyun; Song, Xinyu 1 2012 Periodic solutions of a class of semi-continuous dynamical systems with center equilibrium. Zbl 1265.34146Guo, Hongjian; Chen, Lansun; Song, Xinyu 1 2012 Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response. Zbl 1208.34128Song, Xinyu; Wang, Shaoli; Dong, Jing 25 2011 Analysis of a stage-structured predator-prey model with Crowley-Martin function. Zbl 1222.34054Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 22 2011 Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response. Zbl 1242.92045Wang, Xia; Tao, Youde; Song, Xinyu 20 2011 Dynamics analysis of a delayed viral infection model with immune impairment. Zbl 1228.34085Wang, Shaoli; Song, Xinyu; Ge, Zhihao 17 2011 Effect of prey refuge on a harvested predator-prey model with generalized functional response. Zbl 1221.34149Tao, Youde; Wang, Xia; Song, Xinyu 17 2011 Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Zbl 1234.92059Wang, Xia; Tao, Youde; Song, Xinyu 7 2011 The domain of attraction for the endemic equilibrium of an SIRS epidemic model. Zbl 1217.92076Zhang, Zhonghua; Wu, Jianhua; Suo, Yaohong; Song, Xinyu 7 2011 Stability and boundedness of nonlinear impulsive systems in terms of two measures via perturbing Lyapunov functions. Zbl 1216.34011Li, An; Song, Xinyu 6 2011 Stability properties of a delayed viral infection model with lytic immune response. Zbl 1233.34032Song, Fang; Wang, Xia; Song, Xinyu 4 2011 Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions. Zbl 1223.34012Song, Xinyu; Li, An 4 2011 Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate. Zbl 1228.34102Jiang, Yu; Mei, Liquan; Song, Xinyu 3 2011 Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate. Zbl 1237.34097Wang, Xia; Guo, Zhen; Song, Xinyu 2 2011 Complex dynamics of a Beddington-DeAngelis epidemic model with pulse. Zbl 1242.34090Wang, Xia; Tao, Youde; Song, Xinyu 1 2011 Dynamical behavior of a delay virus dynamics model with CTL immune response. Zbl 1204.34110Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 28 2010 A delayed HIV-1 infection model with Beddington-DeAngelis functional response. Zbl 1209.34102Wang, Xia; Tao, Youde; Song, Xinyu 21 2010 Properties of stability and Hopf bifurcation for a HIV infection model with time delay. Zbl 1193.34152Song, Xinyu; Zhou, Xueyong; Zhao, Xiang 20 2010 A modified Leslie-Gower predator-prey model with prey infection. Zbl 1205.34061Zhou, Xueyong; Cui, Jingan; Shi, Xiangyun; Song, Xinyu 13 2010 Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response. Zbl 1203.34134Song, Xinyu; Wang, Shaoli; Zhou, Xueyong 10 2010 Dynamical properties of a delay prey-predator model with disease in the prey species only. Zbl 1210.37072Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 4 2010 Mathematical models of restoration and control of a single species with Allee effect. Zbl 1201.34016Guo, Hongjian; Chen, Lansun; Song, Xinyu 4 2010 Dynamical behavior for an eco-epidemiological model with discrete and distributed delay. Zbl 1190.92044Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 3 2010 Study on the stability of nonlinear differential equations with initial time difference. Zbl 1260.34114Song, Xinyu; Li, An; Wang, Zhixiang 2 2010 Analysis of an impulsive pest management SEI model with nonlinear incidence rate. Zbl 1184.92045Wang, Xia; Song, Xinyu 2 2010 A predator-prey system with two impulses on the diseased prey and a Beddington-DeAngelis response. Zbl 1188.34061Wang, Xia; Song, Xinyu 2 2010 Feasibility of time-limited control of a competition system with impulsive harvest. Zbl 1190.34056Guo, Hongjian; Chen, Lansun; Song, Xinyu 2 2010 Stability of an age-structured SEIS epidemic model with infectivity in incubative period. Zbl 1403.92292Guo, Shu-Min; Li, Xue-Zhi; Song, Xin-Yu 1 2010 A stage-structured predator-prey model with disturbing pulse and time delays. Zbl 1167.34372Song, Xinyu; Hao, Meiying; Meng, Xinzhu 24 2009 Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Zbl 1168.92326Song, Xinyu; Jiang, Yu; Wei, Huiming 24 2009 Extinction and permanence of chemostat model with pulsed input in a polluted environment. Zbl 1221.37209Zhao, Zhong; Chen, Lansun; Song, Xinyu 23 2009 Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive control strategy. Zbl 1163.92332Xiang, Zhongyi; Li, Yongfeng; Song, Xinyu 15 2009 Analysis of a delay prey-predator model with disease in the prey species only. Zbl 1168.92328Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 12 2009 The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response. Zbl 1197.34012Xiang, Zhongyi; Song, Xinyu 10 2009 Dynamical behavior of a virus dynamics model with CTL immune response. Zbl 1165.92027Zhou, Xueyong; Shi, Xiangyun; Zhang, Zhonghua; Song, Xinyu 9 2009 Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay. Zbl 1162.92038Wei, Huiming; Jiang, Yu; Song, Xinyu; Su, G. H.; Qiu, S. Z. 9 2009 Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. Zbl 1162.92323Wang, Xia; Tao, Youde; Song, Xinyu 9 2009 Mathematical model for the control of a pest population with impulsive perturbations on diseased pest. Zbl 1205.34102Wang, Xia; Tao, Youde; Song, Xinyu 6 2009 The dynamics of an eco-epidemiological model with distributed delay. Zbl 1175.93022Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 5 2009 Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. Zbl 1165.92034Jiang, Yu; Wei, Huiming; Song, Xinyu; Mei, Liquan; Su, Guanghui; Qiu, Suizheng 5 2009 Analysis of pulse vaccination strategy in SIRVS epidemic model. Zbl 1221.37201Wang, Xia; Tao, Youde; Song, Xinyu 3 2009 Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Zbl 1205.34101Wang, Xia; Song, Qiang; Song, Xinyu 3 2009 A delay differential equation model of HIV infection of \(\text{CD4}^{+}T\)-cells with cure rate. Zbl 1226.34082Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 3 2009 Analysis of a stage-structured predator-prey system with impulsive perturbations and time delays. Zbl 1159.34053Song, Xinyu; Li, Senlin; Li, An 2 2009 Dynamic analysis of a kind of species control model concerning impulsively releasing pathogen and infective predator. Zbl 1198.37126Guo, Hongjian; Chen, Lansun; Song, Xinyu 1 2009 Asymptotic behaviour of the non-autonomous competing two-species Lotka-Volterra models with impulsive effect. Zbl 1169.34034Li, Yongfeng; Cui, Jingan; Song, Xinyu 1 2009 Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect. Zbl 1142.34031Song, Xinyu; Li, Yongfeng 63 2008 An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes. Zbl 1148.34034Guo, Hongjian; Song, Xinyu 25 2008 Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. Zbl 1151.92030Zhao, Zhong; Chen, Lansun; Song, Xinyu 24 2008 Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay. Zbl 1147.34355Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 21 2008 Analysis of stability and Hopf bifurcation for an HIV infection model with time delay. Zbl 1136.92027Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 19 2008 Analysis of stability and Hopf bifurcation for a delay-differential equation model of HIV infection of CD4\(^+\) T-cells. Zbl 1146.34313Jiang, Xiaowu; Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 14 2008 Global stability of a stage-structured predator-prey system. Zbl 1173.34043Song, Xinyu; Guo, Hongjian 13 2008 Mathematical models for the control of a pest population by infected pest. Zbl 1145.92339Wang, Xia; Song, Xinyu 11 2008 Practical stability of nonlinear differential equation with initial time difference. Zbl 1168.34341Song, Xinyu; Li, Senlin; Li, An 10 2008 Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions. Zbl 1156.34329Li, Senlin; Song, Xinyu; Li, An 5 2008 Modeling and analysis of a harvesting fishery model in a two-patch environment. Zbl 1155.92348Cai, Liming; Li, Xuezhi; Song, Xinyu 5 2008 Bifurcation and complex dynamics of a two-prey two-predator system concerning periodic biological and chemical control. Zbl 1146.34039Xiang, Zhongyi; Song, Xinyu; Zhang, Fengqin 4 2008 Dynamics of a predator-prey system with pulses. Zbl 1152.92354Li, Yongfeng; Cui, Jingan; Song, Xinyu 3 2008 Time-limited management strategies of a single-species with Allee effect. Zbl 1254.92078Guo, Hongjian; Chen, Lansun; Song, Xinyu 2 2008 An impulsive predator-prey system with stage-structured and modified Leslie-Gower Holling II type scheme. Zbl 1177.92037Jiang, Xiaowu; Yu, Min; Song, Xinyu 1 2008 Global stability and periodic solution of the viral dynamics. Zbl 1105.92011Song, Xinyu; Neumann, Avidan U. 103 2007 Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect. Zbl 1136.34046Song, Xinyu; Li, Yongfeng 26 2007 Permanence and stability of a predator-prey system with stage structure for predator. Zbl 1117.34070Cai, Liming; Song, Xinyu 24 2007 Global stability and periodic solution of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1117.92040Wang, Xia; Song, Xinyu 12 2007 Analysis of competitive chemostat models with the Beddington-DeAngelis functional response and impulsive effect. Zbl 1137.34026Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 9 2007 On the study of chemostat model with pulsed input in a polluted environment. Zbl 1187.34063Zhao, Zhong; Song, Xinyu 7 2007 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,339 Authors 76 Chen, Lansun 68 Song, Xinyu 38 Xu, Rui 35 Meng, Xinzhu 34 Teng, Zhi-dong 33 Elaiw, Ahmed M. 28 Chen, Fengde 22 Jiao, Jianjun 22 Wang, Xia 18 Zhang, Tongqian 18 Zhou, Xueyong 17 Zhang, Qingling 16 Ma, Wanbiao 16 Shi, Xiangyun 16 Tang, Sanyi 14 Cai, Shaohong 14 Kar, Tapan Kumar 13 Agarwal, Ravi P. 13 Cui, Jingan 13 Guo, Hongjian 13 Liu, Chao 13 Zhong, Shou-Ming 12 Chaplain, Mark A. J. 12 Cheng, Huidong 12 Davidson, Fordyce A. 12 de la Sen, Manuel 12 Huo, Hai-Feng 12 Li, Xuezhi 12 Xu, Changjin 11 Cai, Liming 11 Liu, Bing 11 Miao, Hui 11 Wang, Jinliang 11 Zhang, Long 10 Alonso Quesada, Santiago 10 Ibeas, Asier 10 Liu, Zhijun 10 Pei, Yongzhen 10 Rong, Libin 10 Yu, Hengguo 10 Zhang, Tonghua 9 Gao, Shujing 9 Hattaf, Khalid 9 Liu, Xianning 9 Yuan, Sanling 8 Ge, Zhihao 8 Hu, Zhixing 8 Jiang, Daqing 8 Liu, Shengqiang 8 Lv, Yunfei 8 Nie, Linfei 8 Pitchaimani, M. 8 Wei, Junjie 8 Zhao, Zhong 7 Dai, Binxiang 7 Huang, Mingzhan 7 Ma, Zhien 7 Ma, Zhihui 7 Muhammadhaji, Ahmadjan 7 Shao, Yuanfu 7 Wang, Shaoli 7 Wang, Shufan 7 Wu, Jianhua 7 Zhao, Wencai 6 Abdurahman, Xamxinur 6 Adak, Debadatta 6 Alshamrani, Noura H. 6 Bairagi, Nandadulal 6 Cheke, Robert A. 6 Dong, Lingzhen 6 Jana, Soovoojeet 6 Li, Limei 6 Li, Yongfeng 6 Li, Zuxiong 6 Liao, Fucheng 6 Liao, Maoxin 6 Nieto Roig, Juan Jose 6 Samanta, Guru Prasad 6 Sun, Ji Tao 6 Takeuchi, Yasuhiro 6 Wang, Kaifa 6 Xiang, Zhongyi 6 Xiao, Yanni 6 Yang, Jin 6 Yang, Yu 6 Yousfi, Noura 6 Zhang, Hong 5 Cao, Jinde 5 Chen, Boshan 5 Dubey, Balram 5 Ji, Yu 5 Li, Zhong 5 Liu, Qun 5 Pang, Guoping 5 Raezah, A. A. 5 Rihan, Fathalla A. 5 Tian, Baodan 5 Tian, Yuan 5 Vargas-De-León, Cruz 5 Wang, Xiaoyan ...and 1,239 more Authors all top 5 Cited in 113 Serials 117 Applied Mathematics and Computation 67 Advances in Difference Equations 65 Nonlinear Analysis. Real World Applications 59 Discrete Dynamics in Nature and Society 55 International Journal of Biomathematics 44 Chaos, Solitons and Fractals 43 Nonlinear Dynamics 36 Abstract and Applied Analysis 35 Journal of Applied Mathematics and Computing 33 Applied Mathematical Modelling 28 Journal of Mathematical Analysis and Applications 25 Communications in Nonlinear Science and Numerical Simulation 20 Mathematical Methods in the Applied Sciences 20 Journal of Computational and Applied Mathematics 19 Journal of Biological Dynamics 18 Computers & Mathematics with Applications 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Complexity 15 Journal of Biological Systems 15 Discrete and Continuous Dynamical Systems. Series B 15 Mathematical Biosciences and Engineering 14 Journal of the Franklin Institute 13 Mathematical Biosciences 13 Mathematical and Computer Modelling 13 Journal of Applied Mathematics 11 Nonlinear Analysis. 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Series S 1 Asian-European Journal of Mathematics ...and 13 more Serials all top 5 Cited in 25 Fields 943 Biology and other natural sciences (92-XX) 751 Ordinary differential equations (34-XX) 176 Dynamical systems and ergodic theory (37-XX) 92 Systems theory; control (93-XX) 83 Partial differential equations (35-XX) 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Numerical analysis (65-XX) 33 Probability theory and stochastic processes (60-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 21 Difference and functional equations (39-XX) 18 Operator theory (47-XX) 7 Real functions (26-XX) 7 Integral equations (45-XX) 7 Mechanics of particles and systems (70-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 3 Mechanics of deformable solids (74-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year