Edit Profile (opens in new tab) Song, Xinyu Compute Distance To: Compute Author ID: song.xinyu Published as: Song, Xinyu; Song, Xin-Yu; Song, Xin-yu External Links: ORCID Documents Indexed: 186 Publications since 1996 Reviewing Activity: 68 Reviews Co-Authors: 98 Co-Authors with 179 Joint Publications 3,671 Co-Co-Authors all top 5 Co-Authors 1 single-authored 33 Wang, Xia 32 Chen, Lansun 22 Guo, Hongjian 20 Shi, Xiangyun 19 Zhou, Xueyong 16 Huang, Mingzhan 9 Tao, Youde 9 Xiang, Zhongyi 8 Cai, Liming 8 Cui, Jingan 8 Liu, Shouzong 7 Li, An 7 Wang, Shaoli 7 Zhao, Zhong 6 Li, Yongfeng 5 Jiang, Yu 4 Dong, Li 4 Jiang, Xiaowu 4 Li, Xuezhi 4 Rong, Libin 4 Tang, Jingyong 4 Wang, Yazhen 3 Huang, Chengdai 3 Li, Senlin 3 Li, Shuai 3 Liu, Shengqiang 3 Mei, Liquan 3 Tang, Sanyi 3 Wei, Huiming 3 Zhang, Zhonghua 2 Fu, Liyong 2 Ge, Zhihao 2 Guo, Shuli 2 Guo, Shumin 2 Kim, Donggyu 2 Li, Jiaxu 2 Neumann, Avidan U. 2 Qiu, Suizheng 2 Su, Guanghui 2 Suo, Yaohong 2 Tang, Shouzheng 2 Tian, Yuan 2 Wang, Zhixiang 2 Xu, Jing 2 Ye, Kaili 2 Zhang, Jiafang 1 Cai, Tony Tony 1 Cao, Jinde 1 Chen, Qingjiang 1 Chen, Yuefen 1 Chen, Yuming 1 Cheng, Huidong 1 Cheng, Shuhan 1 Cui, Xiangyu 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 Jia, Jianwen 1 Lei, Yuancai 1 Li, Gang 1 Li, Zhaoqing 1 Lin, Daniel W. 1 Liu, Xiafei 1 Liu, Yingan 1 Long, Dan 1 Lou, Yijun 1 Lu, Zhiping 1 Meng, Lei 1 Meng, Xinzhu 1 Mink, Gregory 1 Pang, Liuyong 1 Peng, Yucheng 1 Sharma, Ram Parkash 1 Shen, Mingwang 1 Song, Fang 1 Song, Qiang 1 Sun, Yan 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 Yang, Hongzhi 1 You, Lei 1 Yu, Jingyuan 1 Yu, Min 1 Yu, Tingting 1 Yuan, Huiling ...and 7 more Co-Authors all top 5 Serials 17 Applied Mathematics and Computation 14 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 6 Journal of Biological Dynamics 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) 3 Mathematical Methods in the Applied Sciences 3 Mathematics and Computers in Simulation 3 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Acta Mathematicae Applicatae Sinica 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 Journal of Applied Mathematics 2 Advances in Complex Systems 2 Advances in Difference Equations 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 Journal of Econometrics 1 Journal of Statistical Planning and Inference 1 Studies in Applied Mathematics 1 Statistics & Probability Letters 1 Mathematics in Practice and Theory 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistical Science 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 Stochastics and Dynamics 1 Journal of Xuzhou Normal University. Natural Science Edition 1 Mathematical Biosciences and Engineering 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 165 Biology and other natural sciences (92-XX) 154 Ordinary differential equations (34-XX) 25 Dynamical systems and ergodic theory (37-XX) 14 Systems theory; control (93-XX) 8 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 5 Statistics (62-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 138 Publications have been cited 1,676 times in 1,195 Documents Cited by ▼ Year ▼ Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049Song, Xinyu; Chen, Lansun 138 2001 Global stability and periodic solution of the viral dynamics. Zbl 1105.92011Song, Xinyu; Neumann, Avidan U. 119 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 70 2008 Modeling impulsive injections of insulin: towards artificial pancreas. Zbl 1325.92045Huang, Mingzhan; Li, Jiaxu; Song, Xinyu; Guo, Hongjian 39 2012 Dynamical behavior of a delay virus dynamics model with CTL immune response. Zbl 1204.34110Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 37 2010 Global properties of a delayed HIV infection model with CTL immune response. Zbl 1245.92036Wang, Xia; Elaiw, Ahmed; Song, Xinyu 34 2012 Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay. Zbl 0903.92029Song, Xinyu; Chen, Lansun 32 1998 Analysis of a stage-structured predator-prey model with Crowley-Martin function. Zbl 1222.34054Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 31 2011 An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes. Zbl 1148.34034Guo, Hongjian; Song, Xinyu 30 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 29 2011 Modelling and analysis of a single-species system with stage structure and harvesting. Zbl 1024.92015Song, Xinyu; Chen, Lansun 29 2002 Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response. Zbl 1208.34128Song, Xinyu; Wang, Shaoli; Dong, Jing 28 2011 Extinction and permanence of chemostat model with pulsed input in a polluted environment. Zbl 1221.37209Zhao, Zhong; Chen, Lansun; Song, Xinyu 28 2009 Permanence of predator-prey system with stage structure. Zbl 1100.92062Cui, Jingan; Song, Xinyu 27 2004 Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect. Zbl 1136.34046Song, Xinyu; Li, Yongfeng 27 2007 Optimal harvesting and stability for a predator-prey system with stage structure. Zbl 1054.34125Song, Xin-yu; Chen, Lan-sun 27 2002 Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Zbl 1168.92326Song, Xinyu; Jiang, Yu; Wei, Huiming 27 2009 Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. Zbl 1151.92030Zhao, Zhong; Chen, Lansun; Song, Xinyu 25 2008 A stage-structured predator-prey model with disturbing pulse and time delays. Zbl 1167.34372Song, Xinyu; Hao, Meiying; Meng, Xinzhu 25 2009 Permanence and stability of a predator-prey system with stage structure for predator. Zbl 1117.34070Cai, Liming; Song, Xinyu 24 2007 Dynamics analysis of a delayed viral infection model with immune impairment. Zbl 1228.34085Wang, Shaoli; Song, Xinyu; Ge, Zhihao 23 2011 Properties of stability and Hopf bifurcation for a HIV infection model with time delay. Zbl 1193.34152Song, Xinyu; Zhou, Xueyong; Zhao, Xiang 22 2010 Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay. Zbl 1147.34355Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 22 2008 Persistence and periodic orbits for two-species predator-prey system with diffusion. Zbl 0941.92032Song, Xinyu; Chen, Lansun 22 1998 A delay-differential equation model of HIV infection of \(CD4^+\) T-cells. Zbl 1078.92042Song, Xinyu; Cheng, Shuhan 22 2005 A delayed HIV-1 infection model with Beddington-DeAngelis functional response. Zbl 1209.34102Wang, Xia; Tao, Youde; Song, Xinyu 22 2010 Effect of prey refuge on a harvested predator-prey model with generalized functional response. Zbl 1221.34149Tao, Youde; Wang, Xia; Song, Xinyu 20 2011 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 19 2013 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 19 2017 Ratio-dependent predator-prey system with stage structure for prey. Zbl 1114.92056Song, Xinyu; Cai, Liming; Neumann, Avidan U. 18 2004 Analysis of stability and Hopf bifurcation for an HIV infection model with time delay. Zbl 1136.92027Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 18 2008 Conditions for global attractivity of \(n\)-patches predator-prey dispersion-delay models. Zbl 0982.34061Song, Xinyu; Chen, Lansun 18 2001 Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive control strategy. Zbl 1163.92332Xiang, Zhongyi; Li, Yongfeng; Song, Xinyu 17 2009 A modified Leslie-Gower predator-prey model with prey infection. Zbl 1205.34061Zhou, Xueyong; Cui, Jingan; Shi, Xiangyun; Song, Xinyu 16 2010 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 16 2008 Global stability and periodic solution of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1117.92040Wang, Xia; Song, Xinyu 15 2007 Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response. Zbl 1203.34134Song, Xinyu; Wang, Shaoli; Zhou, Xueyong 14 2010 Periodic solution of a delay differential equation of plankton allelopathy. Zbl 1036.34082Song, Xinyu; Chen, Lansun 14 2003 Uniform persistence and global attractivity for nonautonomous competitive systems with dispersion. Zbl 1027.92027Song, Xinyu; Chen, Lansun 13 2002 Global stability of a stage-structured predator-prey system. Zbl 1173.34043Song, Xinyu; Guo, Hongjian 13 2008 Age-structured within-host HIV dynamics with multiple target cells. Zbl 1360.35304Wang, Xia; Lou, Yijun; Song, Xinyu 13 2017 Dynamical behavior of a virus dynamics model with CTL immune response. Zbl 1165.92027Zhou, Xueyong; Shi, Xiangyun; Zhang, Zhonghua; Song, Xinyu 13 2009 Analysis of competitive chemostat models with the Beddington-DeAngelis functional response and impulsive effect. Zbl 1137.34026Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 12 2007 Mathematical models for the control of a pest population by infected pest. Zbl 1145.92339Wang, Xia; Song, Xinyu 12 2008 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. 12 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 Geometric properties of solution of a cylindrical dynamic system with impulsive state feedback control. Zbl 1309.34012Guo, Hongjian; Chen, Lansun; Song, Xinyu 11 2015 Cost-effectiveness analysis of optimal strategy for tumor treatment. Zbl 1355.92052Pang, Liuyong; Zhao, Zhong; Song, Xinyu 11 2016 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 11 2018 Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. Zbl 1427.34056Cai, Liming; Huang, Jicai; Song, Xinyu; Zhang, Yuyue 11 2019 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 Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057Huang, Mingzhan; Song, Xinyu 10 2014 Practical stability of nonlinear differential equation with initial time difference. Zbl 1168.34341Song, Xinyu; Li, Senlin; Li, An 10 2008 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296Huang, Mingzhan; Song, Xinyu; Li, Jia 10 2017 The stage-structured predator-prey system with delay and harvesting. Zbl 1049.34096Song, Xinyu; Cui, Jing’an 10 2002 The domain of attraction for the endemic equilibrium of an SIRS epidemic model. Zbl 1217.92076Zhang, Zhonghua; Wu, Jianhua; Suo, Yaohong; Song, Xinyu 9 2011 Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Zbl 1234.92059Wang, Xia; Tao, Youde; Song, Xinyu 9 2011 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 9 2014 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 9 2016 Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. Zbl 1162.92323Wang, Xia; Tao, Youde; Song, Xinyu 9 2009 Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control. Zbl 1242.92036Wang, Shaoli; Wang, Shuli; Song, Xinyu 9 2012 The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response. Zbl 1197.34012Xiang, Zhongyi; Song, Xinyu 8 2009 Modeling impulsive insulin delivery in insulin pump with time delays. Zbl 1330.92060Song, Xinyu; Huang, Mingzhan; Li, Jiaxu 8 2014 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 kind of pest-predator models with impulsive effect and infinite delay. Zbl 1143.34052Song, Xinyu; Guo, Hongjian 7 2007 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 two-prey two-predator system with impulsive on the predator. Zbl 1142.34306Xiang, Zhongyi; Song, Xinyu 7 2006 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 7 2017 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 Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property. Zbl 1410.93053Guo, Hongjian; Chen, Lansun; Song, Xinyu 6 2015 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 6 2017 Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions. Zbl 1156.34329Li, Senlin; Song, Xinyu; Li, An 6 2008 Stability and boundedness of nonlinear impulsive systems in terms of two measures via perturbing Lyapunov functions. Zbl 1216.34011Li, An; Song, Xinyu 6 2011 Study of species in cooperative systems with impulsive state feedback control. Zbl 1274.34143Huang, Mingzhan; Song, Xinyu; Guo, Hongjian; Meng, Lei 5 2012 Global stability and periodic solution of a model for HTLV-I infection and ATL progression. Zbl 1099.92042Song, Xinyu; Li, Yongfeng 5 2006 The dynamics of an eco-epidemiological model with distributed delay. Zbl 1175.93022Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 5 2009 Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions. Zbl 1223.34012Song, Xinyu; Li, An 5 2011 Global properties of a model of immune effector responses to viral infections. Zbl 1147.92019Wang, Xia; Song, Xinyu 5 2007 Modeling and analysis of a harvesting fishery model in a two-patch environment. Zbl 1155.92348Cai, Liming; Li, Xuezhi; Song, Xinyu 5 2008 Global asymptotic stability of a two species competitive system with stage structure and harvesting. Zbl 0994.34066Song, Xinyu; Chen, Lansun 5 2001 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 Dynamics of virus infection models with density-dependent diffusion. Zbl 1396.92087Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu 5 2017 A class of delayed virus dynamics models with multiple target cells. Zbl 1315.34088Wang, Xia; Chen, Yuefen; Liu, Shengqiang; Song, Xinyu 4 2013 Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input. Zbl 1107.92057Song, Xinyu; Zhao, Zhong 4 2006 A delay differential equation model of HIV infection of \(\text{CD4}^{+}T\)-cells with cure rate. Zbl 1226.34082Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 4 2009 Stability properties of a delayed viral infection model with lytic immune response. Zbl 1233.34032Song, Fang; Wang, Xia; Song, Xinyu 4 2011 Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Zbl 1205.34101Wang, Xia; Song, Qiang; Song, Xinyu 4 2009 A predator-prey system with stage structure and harvesting for predator. Zbl 1023.34075Song, Xinyu; Chen, Lansun 4 2002 Mathematical models of restoration and control of a single species with Allee effect. Zbl 1201.34016Guo, Hongjian; Chen, Lansun; Song, Xinyu 4 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 Dynamical behavior for an eco-epidemiological model with discrete and distributed delay. Zbl 1190.92044Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 3 2010 Analysis of an impulsive pest management SEI model with nonlinear incidence rate. Zbl 1184.92045Wang, Xia; Song, Xinyu 3 2010 Analysis of pulse vaccination strategy in SIRVS epidemic model. Zbl 1221.37201Wang, Xia; Tao, Youde; Song, Xinyu 3 2009 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 3 2008 Dynamics of a non-autonomous HIV-1 infection model with delays. Zbl 1300.92053Wang, Xia; 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 Optimal harvesting policy and stability for single-species growth model with stage structure. Zbl 0996.92038Song, Xinyu; Chen, Lansun 3 2002 Dynamics of a predator-prey system with pulses. Zbl 1152.92354Li, Yongfeng; Cui, Jingan; Song, Xinyu 3 2008 Quantum science and quantum technology. Zbl 07292496Wang, Yazhen; Song, Xinyu 3 2020 Dynamical analysis of a two-species competitive system with state feedback impulsive control. Zbl 1461.92102Xu, Jing; Huang, Mingzhan; Song, Xinyu 2 2020 Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. Zbl 1427.34056Cai, Liming; Huang, Jicai; Song, Xinyu; Zhang, Yuyue 11 2019 Bifurcation based-delay feedback control strategy for a fractional-order two-prey one-predator system. Zbl 1420.92093Li, Shuai; Huang, Chengdai; Song, Xinyu 2 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 11 2018 An age-structured epidemic model with waning immunity and general nonlinear incidence rate. Zbl 1395.35185Wang, Xia; Zhang, Ying; Song, Xinyu 3 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 Global analysis of an epidemic model with vaccination. Zbl 1395.92143Cai, Li-Ming; Li, Zhaoqing; 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 Numerical study of a smoothing algorithm for the complementarity system over the second-order cone. Zbl 1429.90081Dong, Li; Tang, Jingyong; Song, Xinyu 2 2018 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 19 2017 Age-structured within-host HIV dynamics with multiple target cells. Zbl 1360.35304Wang, Xia; Lou, Yijun; Song, Xinyu 13 2017 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296Huang, Mingzhan; Song, Xinyu; Li, Jia 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 7 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 6 2017 Dynamics of virus infection models with density-dependent diffusion. Zbl 1396.92087Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu 5 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 3 2017 Stability of a convex order one periodic solution of unilateral asymptotic type. Zbl 1390.34041Huang, Mingzhan; Chen, Lansun; Song, Xinyu 3 2017 Global properties for an age-structured within-host model with Crowley-Martin functional response. Zbl 1360.37185Wang, Shaoli; Song, Xinyu 2 2017 Mathematical model for diabetes mellitus with impulsive injections of glucose-insulin. Zbl 1438.92035Wang, Xia; Zhang, Ying; 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 Cost-effectiveness analysis of optimal strategy for tumor treatment. Zbl 1355.92052Pang, Liuyong; Zhao, Zhong; Song, Xinyu 11 2016 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 9 2016 Analysis of HIV models with multiple target cell populations and general nonlinear rates of viral infection and cell death. Zbl 07313640Wang, Xia; Song, Xinyu; Tang, Sanyi; Rong, Libin 3 2016 Geometric properties of solution of a cylindrical dynamic system with impulsive state feedback control. Zbl 1309.34012Guo, Hongjian; Chen, Lansun; Song, Xinyu 11 2015 Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property. Zbl 1410.93053Guo, Hongjian; Chen, Lansun; Song, Xinyu 6 2015 A within-host virus model with multiple infected stages under time-varying environments. Zbl 1410.92141Wang, Xia; Liu, Shengqiang; Song, Xinyu 1 2015 Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057Huang, Mingzhan; Song, Xinyu 10 2014 Qualitative analysis of a Korean pine forest model with impulsive thinning measure. Zbl 1298.92062Guo, Hongjian; Song, Xinyu; Chen, Lansun 9 2014 Modeling impulsive insulin delivery in insulin pump with time delays. Zbl 1330.92060Song, Xinyu; Huang, Mingzhan; Li, Jiaxu 8 2014 Permanence and extinction for a nonautonomous malaria transmission model with distributed time delay. Zbl 1437.92148Zhang, Xiaohong; Jia, Jianwen; Song, Xinyu 2 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 19 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 A class of delayed virus dynamics models with multiple target cells. Zbl 1315.34088Wang, Xia; Chen, Yuefen; Liu, Shengqiang; Song, Xinyu 4 2013 Dynamics of a non-autonomous HIV-1 infection model with delays. Zbl 1300.92053Wang, Xia; Liu, Shengqiang; Song, Xinyu 3 2013 Modeling impulsive injections of insulin: towards artificial pancreas. Zbl 1325.92045Huang, Mingzhan; Li, Jiaxu; Song, Xinyu; Guo, Hongjian 39 2012 Global properties of a delayed HIV infection model with CTL immune response. Zbl 1245.92036Wang, Xia; Elaiw, Ahmed; Song, Xinyu 34 2012 Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control. Zbl 1242.92036Wang, Shaoli; Wang, Shuli; Song, Xinyu 9 2012 Study of species in cooperative systems with impulsive state feedback control. Zbl 1274.34143Huang, Mingzhan; Song, Xinyu; Guo, Hongjian; Meng, Lei 5 2012 On the study of an integrated pest control model with state-dependent impulsive effect. Zbl 1289.34124Shi, Xiangyun; Song, Xinyu 1 2012 Analysis of a stage-structured predator-prey model with Crowley-Martin function. Zbl 1222.34054Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 31 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 29 2011 Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response. Zbl 1208.34128Song, Xinyu; Wang, Shaoli; Dong, Jing 28 2011 Dynamics analysis of a delayed viral infection model with immune impairment. Zbl 1228.34085Wang, Shaoli; Song, Xinyu; Ge, Zhihao 23 2011 Effect of prey refuge on a harvested predator-prey model with generalized functional response. Zbl 1221.34149Tao, Youde; Wang, Xia; Song, Xinyu 20 2011 The domain of attraction for the endemic equilibrium of an SIRS epidemic model. Zbl 1217.92076Zhang, Zhonghua; Wu, Jianhua; Suo, Yaohong; Song, Xinyu 9 2011 Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Zbl 1234.92059Wang, Xia; Tao, Youde; Song, Xinyu 9 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 and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions. Zbl 1223.34012Song, Xinyu; Li, An 5 2011 Stability properties of a delayed viral infection model with lytic immune response. Zbl 1233.34032Song, Fang; Wang, Xia; Song, Xinyu 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 Analysis of a differential equation model of HIV infection of CD4\(^{+} T\)-cells with saturated reverse function. Zbl 1251.34069Shi, Xiangyun; Li, Gang; Zhou, Xueyong; Song, Xinyu 1 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 37 2010 Properties of stability and Hopf bifurcation for a HIV infection model with time delay. Zbl 1193.34152Song, Xinyu; Zhou, Xueyong; Zhao, Xiang 22 2010 A delayed HIV-1 infection model with Beddington-DeAngelis functional response. Zbl 1209.34102Wang, Xia; Tao, Youde; Song, Xinyu 22 2010 A modified Leslie-Gower predator-prey model with prey infection. Zbl 1205.34061Zhou, Xueyong; Cui, Jingan; Shi, Xiangyun; Song, Xinyu 16 2010 Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response. Zbl 1203.34134Song, Xinyu; Wang, Shaoli; Zhou, Xueyong 14 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 properties of a delay prey-predator model with disease in the prey species only. Zbl 1210.37072Shi, Xiangyun; Zhou, Xueyong; 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 Analysis of an impulsive pest management SEI model with nonlinear incidence rate. Zbl 1184.92045Wang, Xia; 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 Feasibility of time-limited control of a competition system with impulsive harvest. Zbl 1190.34056Guo, Hongjian; Chen, Lansun; 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 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 Extinction and permanence of chemostat model with pulsed input in a polluted environment. Zbl 1221.37209Zhao, Zhong; Chen, Lansun; Song, Xinyu 28 2009 Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Zbl 1168.92326Song, Xinyu; Jiang, Yu; Wei, Huiming 27 2009 A stage-structured predator-prey model with disturbing pulse and time delays. Zbl 1167.34372Song, Xinyu; Hao, Meiying; Meng, Xinzhu 25 2009 Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive control strategy. Zbl 1163.92332Xiang, Zhongyi; Li, Yongfeng; Song, Xinyu 17 2009 Dynamical behavior of a virus dynamics model with CTL immune response. Zbl 1165.92027Zhou, Xueyong; Shi, Xiangyun; Zhang, Zhonghua; Song, Xinyu 13 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. 12 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 Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. Zbl 1162.92323Wang, Xia; Tao, Youde; Song, Xinyu 9 2009 The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response. Zbl 1197.34012Xiang, Zhongyi; Song, Xinyu 8 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 A delay differential equation model of HIV infection of \(\text{CD4}^{+}T\)-cells with cure rate. Zbl 1226.34082Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 4 2009 Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Zbl 1205.34101Wang, Xia; Song, Qiang; Song, Xinyu 4 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 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 70 2008 An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes. Zbl 1148.34034Guo, Hongjian; Song, Xinyu 30 2008 Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. Zbl 1151.92030Zhao, Zhong; Chen, Lansun; Song, Xinyu 25 2008 Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay. Zbl 1147.34355Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 22 2008 Analysis of stability and Hopf bifurcation for an HIV infection model with time delay. Zbl 1136.92027Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 18 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 16 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 12 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 6 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 3 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 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,499 Authors 75 Chen, Lansun 70 Song, Xinyu 42 Elaiw, Ahmed M. 40 Xu, Rui 36 Meng, Xinzhu 35 Teng, Zhi-dong 27 Chen, Fengde 23 Wang, Xia 22 Jiao, Jianjun 19 Zhou, Xueyong 18 Zhang, Tongqian 17 Shi, Xiangyun 17 Tang, Sanyi 17 Zhang, Qingling 16 Ma, Wanbiao 15 Cheng, Huidong 15 Kar, Tapan Kumar 14 Cai, Shaohong 14 de la Sen, Manuel 13 Agarwal, Ravi P. 13 Cui, Jingan 13 Liu, Chao 13 Rong, Libin 13 Zhong, Shou-Ming 12 Alshamrani, Noura H. 12 Cai, Liming 12 Chaplain, Mark A. J. 12 Davidson, Fordyce A. 12 Guo, Hongjian 12 Huo, Hai-Feng 12 Li, Xuezhi 12 Liu, Zhijun 11 Alonso Quesada, Santiago 11 Ibeas, Asier 11 Liu, Bing 11 Miao, Hui 11 Wang, Jinliang 11 Xu, Changjin 11 Zhang, Long 10 Gao, Shujing 10 Hattaf, Khalid 10 Huang, Mingzhan 10 Pei, Yongzhen 10 Yu, Hengguo 10 Zhang, Tonghua 9 Jiang, Daqing 9 Liu, Xianning 9 Wang, Shaoli 9 Yuan, Sanling 9 Zhao, Zhong 8 Dubey, Balram 8 Hu, Zhixing 8 Liu, Shengqiang 8 Lv, Yunfei 8 Nie, Linfei 8 Pitchaimani, M. 8 Samanta, Guru Prasad 8 Takeuchi, Yasuhiro 8 Wei, Junjie 8 Yang, Yu 7 Chen, Yuming 7 Dai, Binxiang 7 Ma, Zhien 7 Ma, Zhihui 7 Muhammadhaji, Ahmadjan 7 Wang, Shufan 7 Wu, Jianhua 7 Xiao, Yanni 7 Yang, Jin 7 Zhao, Wencai 6 Abdurahman, Xamxinur 6 Cheke, Robert A. 6 Dong, Lingzhen 6 Guo, Ting 6 Jana, Soovoojeet 6 Li, Limei 6 Li, Yongfeng 6 Li, Zuxiong 6 Liao, Fucheng 6 Liu, Shouzong 6 Nieto Roig, Juan Jose 6 Pang, Guoping 6 Qiu, Zhipeng 6 Shao, Yuanfu 6 Sun, Ji Tao 6 Vargas-De-León, Cruz 6 Wang, Kaifa 6 Wang, Yan 6 Xiang, Zhongyi 6 Xu, Jinhu 6 Yousfi, Noura 6 Yuan, Rong 6 Zhang, Hong 6 Zhang, Yan 5 Adak, Debadatta 5 Alshaikh, Matuka A. 5 Avila-Vales, Eric Jose 5 Bairagi, Nandadulal 5 Cao, Jinde 5 Chen, Boshan ...and 1,399 more Authors all top 5 Cited in 128 Serials 113 Applied Mathematics and Computation 75 Advances in Difference Equations 66 International Journal of Biomathematics 63 Nonlinear Analysis. 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Armenian Academy of Sciences 1 European Journal of Operational Research ...and 28 more Serials all top 5 Cited in 28 Fields 1,088 Biology and other natural sciences (92-XX) 850 Ordinary differential equations (34-XX) 196 Dynamical systems and ergodic theory (37-XX) 102 Systems theory; control (93-XX) 101 Partial differential equations (35-XX) 46 Numerical analysis (65-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Probability theory and stochastic processes (60-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 22 Difference and functional equations (39-XX) 18 Operator theory (47-XX) 12 Real functions (26-XX) 8 Operations research, mathematical programming (90-XX) 7 Mechanics of particles and systems (70-XX) 6 Integral equations (45-XX) 6 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of deformable solids (74-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year