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Song, Xinyu

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Author ID: song.xinyu Recent zbMATH articles by "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
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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

Publications by Year

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 1028.34049
Song, Xinyu; Chen, Lansun
133
2001
Global stability and periodic solution of the viral dynamics. Zbl 1105.92011
Song, 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 1142.34031
Song, Xinyu; Li, Yongfeng
63
2008
Modeling impulsive injections of insulin: towards artificial pancreas. Zbl 1325.92045
Huang, Mingzhan; Li, Jiaxu; Song, Xinyu; Guo, Hongjian
33
2012
Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay. Zbl 0903.92029
Song, Xinyu; Chen, Lansun
33
1998
Optimal harvesting and stability for a predator-prey system with stage structure. Zbl 1054.34125
Song, Xin-yu; Chen, Lan-sun
32
2002
Global properties of a delayed HIV infection model with CTL immune response. Zbl 1245.92036
Wang, Xia; Elaiw, Ahmed; Song, Xinyu
29
2012
Dynamical behavior of a delay virus dynamics model with CTL immune response. Zbl 1204.34110
Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu
28
2010
Modelling and analysis of a single-species system with stage structure and harvesting. Zbl 1024.92015
Song, Xinyu; Chen, Lansun
28
2002
Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect. Zbl 1136.34046
Song, Xinyu; Li, Yongfeng
26
2007
Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response. Zbl 1208.34128
Song, Xinyu; Wang, Shaoli; Dong, Jing
25
2011
An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes. Zbl 1148.34034
Guo, Hongjian; Song, Xinyu
25
2008
Permanence of predator-prey system with stage structure. Zbl 1100.92062
Cui, Jingan; Song, Xinyu
25
2004
A stage-structured predator-prey model with disturbing pulse and time delays. Zbl 1167.34372
Song, Xinyu; Hao, Meiying; Meng, Xinzhu
24
2009
Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Zbl 1168.92326
Song, Xinyu; Jiang, Yu; Wei, Huiming
24
2009
Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. Zbl 1151.92030
Zhao, Zhong; Chen, Lansun; Song, Xinyu
24
2008
Permanence and stability of a predator-prey system with stage structure for predator. Zbl 1117.34070
Cai, Liming; Song, Xinyu
24
2007
Extinction and permanence of chemostat model with pulsed input in a polluted environment. Zbl 1221.37209
Zhao, Zhong; Chen, Lansun; Song, Xinyu
23
2009
Analysis of a stage-structured predator-prey model with Crowley-Martin function. Zbl 1222.34054
Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu
22
2011
A delay-differential equation model of HIV infection of \(CD4^+\) T-cells. Zbl 1078.92042
Song, Xinyu; Cheng, Shuhan
22
2005
Persistence and periodic orbits for two-species predator-prey system with diffusion. Zbl 0941.92032
Song, Xinyu; Chen, Lansun
22
1998
A delayed HIV-1 infection model with Beddington-DeAngelis functional response. Zbl 1209.34102
Wang, Xia; Tao, Youde; Song, Xinyu
21
2010
Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay. Zbl 1147.34355
Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
21
2008
Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response. Zbl 1242.92045
Wang, Xia; Tao, Youde; Song, Xinyu
20
2011
Properties of stability and Hopf bifurcation for a HIV infection model with time delay. Zbl 1193.34152
Song, Xinyu; Zhou, Xueyong; Zhao, Xiang
20
2010
Analysis of stability and Hopf bifurcation for an HIV infection model with time delay. Zbl 1136.92027
Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun
19
2008
Conditions for global attractivity of \(n\)-patches predator-prey dispersion-delay models. Zbl 0982.34061
Song, Xinyu; Chen, Lansun
18
2001
Periodic solutions and homoclinic bifurcation of a predator-prey system with two types of harvesting. Zbl 1281.92069
Huang, Mingzhan; Liu, Shouzong; Song, Xinyu; Chen, Lansun
17
2013
Dynamics analysis of a delayed viral infection model with immune impairment. Zbl 1228.34085
Wang, Shaoli; Song, Xinyu; Ge, Zhihao
17
2011
Effect of prey refuge on a harvested predator-prey model with generalized functional response. Zbl 1221.34149
Tao, Youde; Wang, Xia; Song, Xinyu
17
2011
Ratio-dependent predator-prey system with stage structure for prey. Zbl 1114.92056
Song, Xinyu; Cai, Liming; Neumann, Avidan U.
17
2004
Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive control strategy. Zbl 1163.92332
Xiang, Zhongyi; Li, Yongfeng; Song, Xinyu
15
2009
Uniform persistence and global attractivity for nonautonomous competitive systems with dispersion. Zbl 1027.92027
Song, 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 1146.34313
Jiang, Xiaowu; Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
14
2008
Periodic solution of a delay differential equation of plankton allelopathy. Zbl 1036.34082
Song, Xinyu; Chen, Lansun
14
2003
A modified Leslie-Gower predator-prey model with prey infection. Zbl 1205.34061
Zhou, Xueyong; Cui, Jingan; Shi, Xiangyun; Song, Xinyu
13
2010
Global stability of a stage-structured predator-prey system. Zbl 1173.34043
Song, Xinyu; Guo, Hongjian
13
2008
Analysis of a delay prey-predator model with disease in the prey species only. Zbl 1168.92328
Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
12
2009
Global stability and periodic solution of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1117.92040
Wang, Xia; Song, Xinyu
12
2007
Mathematical models for the control of a pest population by infected pest. Zbl 1145.92339
Wang, Xia; Song, Xinyu
11
2008
Age-structured within-host HIV dynamics with multiple target cells. Zbl 1360.35304
Wang, 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 1293.92021
Xiang, Zhongyi; Long, Dan; Song, Xinyu
10
2013
Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response. Zbl 1203.34134
Song, Xinyu; Wang, Shaoli; Zhou, Xueyong
10
2010
The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response. Zbl 1197.34012
Xiang, Zhongyi; Song, Xinyu
10
2009
Practical stability of nonlinear differential equation with initial time difference. Zbl 1168.34341
Song, Xinyu; Li, Senlin; Li, An
10
2008
The stage-structured predator-prey system with delay and harvesting. Zbl 1049.34096
Song, Xinyu; Cui, Jing’an
10
2002
Geometric properties of solution of a cylindrical dynamic system with impulsive state feedback control. Zbl 1309.34012
Guo, Hongjian; Chen, Lansun; Song, Xinyu
9
2015
Dynamical behavior of a virus dynamics model with CTL immune response. Zbl 1165.92027
Zhou, 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 1162.92038
Wei, Huiming; Jiang, Yu; Song, Xinyu; Su, G. H.; Qiu, S. Z.
9
2009
Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. Zbl 1162.92323
Wang, Xia; Tao, Youde; Song, Xinyu
9
2009
Analysis of competitive chemostat models with the Beddington-DeAngelis functional response and impulsive effect. Zbl 1137.34026
Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun
9
2007
Harmless delays and global attractivity for nonautonomous predator-prey system with dispersion. Zbl 0952.34063
Song, Xinyu; Chen, Lansun
9
2000
Qualitative analysis of a Korean pine forest model with impulsive thinning measure. Zbl 1298.92062
Guo, Hongjian; Song, Xinyu; Chen, Lansun
7
2014
Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Zbl 1234.92059
Wang, Xia; Tao, Youde; Song, Xinyu
7
2011
The domain of attraction for the endemic equilibrium of an SIRS epidemic model. Zbl 1217.92076
Zhang, Zhonghua; Wu, Jianhua; Suo, Yaohong; Song, Xinyu
7
2011
On the study of chemostat model with pulsed input in a polluted environment. Zbl 1187.34063
Zhao, Zhong; Song, Xinyu
7
2007
Extinction and permanence of a kind of pest-predator models with impulsive effect and infinite delay. Zbl 1143.34052
Song, Xinyu; Guo, Hongjian
7
2007
A model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with periodic input. Zbl 1126.92061
Xiang, Zhongyi; Song, Xinyu
7
2007
Extinction and permanence of a two-prey two-predator system with impulsive on the predator. Zbl 1142.34306
Xiang, Zhongyi; Song, Xinyu
7
2006
Dynamics of an HIV model with multiple infection stages and treatment with different drug classes. Zbl 1356.92060
Wang, Xia; Song, Xinyu; Tang, Sanyi; Rong, Libin
6
2016
Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057
Huang, Mingzhan; Song, Xinyu
6
2014
Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control. Zbl 1242.92036
Wang, Shaoli; Wang, Shuli; Song, Xinyu
6
2012
Stability and boundedness of nonlinear impulsive systems in terms of two measures via perturbing Lyapunov functions. Zbl 1216.34011
Li, An; Song, Xinyu
6
2011
Mathematical model for the control of a pest population with impulsive perturbations on diseased pest. Zbl 1205.34102
Wang, Xia; Tao, Youde; Song, Xinyu
6
2009
Stability and Hopf bifurcation of an eco-epidemiological model with delays. Zbl 1071.34078
Song, Xinyu; Xiao, Yanni; Chen, Lansun
6
2005
Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. Zbl 1427.34056
Cai, 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 1376.34047
Guo, Hongjian; Chen, Lansun; Song, Xinyu
5
2017
Modeling impulsive insulin delivery in insulin pump with time delays. Zbl 1330.92060
Song, Xinyu; Huang, Mingzhan; Li, Jiaxu
5
2014
The dynamics of an eco-epidemiological model with distributed delay. Zbl 1175.93022
Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
5
2009
Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. Zbl 1165.92034
Jiang, 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 1156.34329
Li, Senlin; Song, Xinyu; Li, An
5
2008
Modeling and analysis of a harvesting fishery model in a two-patch environment. Zbl 1155.92348
Cai, Liming; Li, Xuezhi; Song, Xinyu
5
2008
Global properties of a model of immune effector responses to viral infections. Zbl 1147.92019
Wang, Xia; Song, Xinyu
5
2007
Global asymptotic stability of a two species competitive system with stage structure and harvesting. Zbl 0994.34066
Song, Xinyu; Chen, Lansun
5
2001
Modeling, analysis and bifurcation control of a delayed fractional-order predator-prey model. Zbl 1401.34093
Huang, Chengdai; Song, Xinyu; Fang, Bin; Xiao, Min; Cao, Jinde
4
2018
Study of species in cooperative systems with impulsive state feedback control. Zbl 1274.34143
Huang, Mingzhan; Song, Xinyu; Guo, Hongjian; Meng, Lei
4
2012
Stability properties of a delayed viral infection model with lytic immune response. Zbl 1233.34032
Song, Fang; Wang, Xia; Song, Xinyu
4
2011
Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions. Zbl 1223.34012
Song, Xinyu; Li, An
4
2011
Dynamical properties of a delay prey-predator model with disease in the prey species only. Zbl 1210.37072
Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu
4
2010
Mathematical models of restoration and control of a single species with Allee effect. Zbl 1201.34016
Guo, 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 1146.34039
Xiang, Zhongyi; Song, Xinyu; Zhang, Fengqin
4
2008
Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input. Zbl 1107.92057
Song, Xinyu; Zhao, Zhong
4
2006
A predator-prey system with stage structure and harvesting for predator. Zbl 1023.34075
Song, Xinyu; Chen, Lansun
4
2002
Dynamical analysis of a pest management Leslie-Gower model with ratio-dependent functional response. Zbl 1398.92263
Xu, Jing; Tian, Yuan; Guo, Hongjian; Song, Xinyu
3
2018
Dynamics of virus infection models with density-dependent diffusion. Zbl 1396.92087
Wang, 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 1368.92105
Wang, Xia; Mink, Gregory; Lin, Daniel; Song, Xinyu; Rong, Libin
3
2017
Cost-effectiveness analysis of optimal strategy for tumor treatment. Zbl 1355.92052
Pang, Liuyong; Zhao, Zhong; Song, Xinyu
3
2016
Dynamics of a non-autonomous HIV-1 infection model with delays. Zbl 1300.92053
Wang, Xia; Liu, Shengqiang; Song, Xinyu
3
2013
A class of delayed virus dynamics models with multiple target cells. Zbl 1315.34088
Wang, 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 1228.34102
Jiang, Yu; Mei, Liquan; Song, Xinyu
3
2011
Dynamical behavior for an eco-epidemiological model with discrete and distributed delay. Zbl 1190.92044
Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu
3
2010
Analysis of pulse vaccination strategy in SIRVS epidemic model. Zbl 1221.37201
Wang, Xia; Tao, Youde; Song, Xinyu
3
2009
Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Zbl 1205.34101
Wang, Xia; Song, Qiang; Song, Xinyu
3
2009
A delay differential equation model of HIV infection of \(\text{CD4}^{+}T\)-cells with cure rate. Zbl 1226.34082
Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
3
2009
Dynamics of a predator-prey system with pulses. Zbl 1152.92354
Li, Yongfeng; Cui, Jingan; Song, Xinyu
3
2008
Uniform persistence and global attractivity for nonautonomous competitive systems with nonlinear dispersion and delays. Zbl 1026.92046
Song, Xinyu; Cui, Jing’an
3
2003
Optimal harvesting policy and stability for single-species growth model with stage structure. Zbl 0996.92038
Song, Xinyu; Chen, Lansun
3
2002
An age-structured epidemic model with waning immunity and general nonlinear incidence rate. Zbl 1395.35185
Wang, Xia; Zhang, Ying; Song, Xinyu
2
2018
Modeling impulsive resource inputs in host-parasitoid interactions with time delays. Zbl 1397.34147
Liu, Shouzong; Huang, Mingzhan; Song, Xinyu; Li, Shuai; Cheng, Huidong
2
2018
Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296
Huang, Mingzhan; Song, Xinyu; Li, Jia
2
2017
Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. Zbl 1427.34056
Cai, 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 1420.92093
Li, Shuai; Huang, Chengdai; Song, Xinyu
1
2019
Modeling, analysis and bifurcation control of a delayed fractional-order predator-prey model. Zbl 1401.34093
Huang, 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 1398.92263
Xu, Jing; Tian, Yuan; Guo, Hongjian; Song, Xinyu
3
2018
An age-structured epidemic model with waning immunity and general nonlinear incidence rate. Zbl 1395.35185
Wang, Xia; Zhang, Ying; Song, Xinyu
2
2018
Modeling impulsive resource inputs in host-parasitoid interactions with time delays. Zbl 1397.34147
Liu, Shouzong; Huang, Mingzhan; Song, Xinyu; Li, Shuai; Cheng, Huidong
2
2018
Age-structured within-host HIV dynamics with multiple target cells. Zbl 1360.35304
Wang, 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 1376.34047
Guo, Hongjian; Chen, Lansun; Song, Xinyu
5
2017
Dynamics of virus infection models with density-dependent diffusion. Zbl 1396.92087
Wang, 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 1368.92105
Wang, Xia; Mink, Gregory; Lin, Daniel; Song, Xinyu; Rong, Libin
3
2017
Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296
Huang, Mingzhan; Song, Xinyu; Li, Jia
2
2017
Dynamics of virus infection models with density-dependent diffusion and Beddington-DeAngelis functional response. Zbl 1386.35408
Wang, 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 1447.92487
Wang, Xia; Tang, Sanyi; Song, Xinyu; Rong, Libin
1
2017
Stability of a convex order one periodic solution of unilateral asymptotic type. Zbl 1390.34041
Huang, Mingzhan; Chen, Lansun; Song, Xinyu
1
2017
A kind of non-traditional biomanipulation model with constant releasing fish. Zbl 1371.34068
Guo, Hongjian; Chen, Lansun; Song, Xinyu
1
2017
Global properties for an age-structured within-host model with Crowley-Martin functional response. Zbl 1360.37185
Wang, Shaoli; Song, Xinyu
1
2017
Dynamics of an HIV model with multiple infection stages and treatment with different drug classes. Zbl 1356.92060
Wang, Xia; Song, Xinyu; Tang, Sanyi; Rong, Libin
6
2016
Cost-effectiveness analysis of optimal strategy for tumor treatment. Zbl 1355.92052
Pang, Liuyong; Zhao, Zhong; Song, Xinyu
3
2016
Geometric properties of solution of a cylindrical dynamic system with impulsive state feedback control. Zbl 1309.34012
Guo, Hongjian; Chen, Lansun; Song, Xinyu
9
2015
Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property. Zbl 1410.93053
Guo, Hongjian; Chen, Lansun; Song, Xinyu
2
2015
A within-host virus model with multiple infected stages under time-varying environments. Zbl 1410.92141
Wang, Xia; Liu, Shengqiang; Song, Xinyu
1
2015
Qualitative analysis of a Korean pine forest model with impulsive thinning measure. Zbl 1298.92062
Guo, Hongjian; Song, Xinyu; Chen, Lansun
7
2014
Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057
Huang, Mingzhan; Song, Xinyu
6
2014
Modeling impulsive insulin delivery in insulin pump with time delays. Zbl 1330.92060
Song, 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 1406.92664
Huang, Mingzhan; Song, Xinyu
1
2014
Periodic solutions and homoclinic bifurcation of a predator-prey system with two types of harvesting. Zbl 1281.92069
Huang, 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 1293.92021
Xiang, Zhongyi; Long, Dan; Song, Xinyu
10
2013
Dynamics of a non-autonomous HIV-1 infection model with delays. Zbl 1300.92053
Wang, Xia; Liu, Shengqiang; Song, Xinyu
3
2013
A class of delayed virus dynamics models with multiple target cells. Zbl 1315.34088
Wang, Xia; Chen, Yuefen; Liu, Shengqiang; Song, Xinyu
3
2013
Modeling impulsive injections of insulin: towards artificial pancreas. Zbl 1325.92045
Huang, Mingzhan; Li, Jiaxu; Song, Xinyu; Guo, Hongjian
33
2012
Global properties of a delayed HIV infection model with CTL immune response. Zbl 1245.92036
Wang, Xia; Elaiw, Ahmed; Song, Xinyu
29
2012
Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control. Zbl 1242.92036
Wang, Shaoli; Wang, Shuli; Song, Xinyu
6
2012
Study of species in cooperative systems with impulsive state feedback control. Zbl 1274.34143
Huang, Mingzhan; Song, Xinyu; Guo, Hongjian; Meng, Lei
4
2012
On the study of an integrated pest control model with state-dependent impulsive effect. Zbl 1289.34124
Shi, Xiangyun; Song, Xinyu
1
2012
Periodic solutions of a class of semi-continuous dynamical systems with center equilibrium. Zbl 1265.34146
Guo, Hongjian; Chen, Lansun; Song, Xinyu
1
2012
Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response. Zbl 1208.34128
Song, Xinyu; Wang, Shaoli; Dong, Jing
25
2011
Analysis of a stage-structured predator-prey model with Crowley-Martin function. Zbl 1222.34054
Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu
22
2011
Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response. Zbl 1242.92045
Wang, Xia; Tao, Youde; Song, Xinyu
20
2011
Dynamics analysis of a delayed viral infection model with immune impairment. Zbl 1228.34085
Wang, Shaoli; Song, Xinyu; Ge, Zhihao
17
2011
Effect of prey refuge on a harvested predator-prey model with generalized functional response. Zbl 1221.34149
Tao, Youde; Wang, Xia; Song, Xinyu
17
2011
Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Zbl 1234.92059
Wang, Xia; Tao, Youde; Song, Xinyu
7
2011
The domain of attraction for the endemic equilibrium of an SIRS epidemic model. Zbl 1217.92076
Zhang, 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 1216.34011
Li, An; Song, Xinyu
6
2011
Stability properties of a delayed viral infection model with lytic immune response. Zbl 1233.34032
Song, Fang; Wang, Xia; Song, Xinyu
4
2011
Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions. Zbl 1223.34012
Song, Xinyu; Li, An
4
2011
Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate. Zbl 1228.34102
Jiang, Yu; Mei, Liquan; Song, Xinyu
3
2011
Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate. Zbl 1237.34097
Wang, Xia; Guo, Zhen; Song, Xinyu
2
2011
Complex dynamics of a Beddington-DeAngelis epidemic model with pulse. Zbl 1242.34090
Wang, Xia; Tao, Youde; Song, Xinyu
1
2011
Dynamical behavior of a delay virus dynamics model with CTL immune response. Zbl 1204.34110
Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu
28
2010
A delayed HIV-1 infection model with Beddington-DeAngelis functional response. Zbl 1209.34102
Wang, Xia; Tao, Youde; Song, Xinyu
21
2010
Properties of stability and Hopf bifurcation for a HIV infection model with time delay. Zbl 1193.34152
Song, Xinyu; Zhou, Xueyong; Zhao, Xiang
20
2010
A modified Leslie-Gower predator-prey model with prey infection. Zbl 1205.34061
Zhou, 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 1203.34134
Song, Xinyu; Wang, Shaoli; Zhou, Xueyong
10
2010
Dynamical properties of a delay prey-predator model with disease in the prey species only. Zbl 1210.37072
Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu
4
2010
Mathematical models of restoration and control of a single species with Allee effect. Zbl 1201.34016
Guo, Hongjian; Chen, Lansun; Song, Xinyu
4
2010
Dynamical behavior for an eco-epidemiological model with discrete and distributed delay. Zbl 1190.92044
Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu
3
2010
Study on the stability of nonlinear differential equations with initial time difference. Zbl 1260.34114
Song, Xinyu; Li, An; Wang, Zhixiang
2
2010
Analysis of an impulsive pest management SEI model with nonlinear incidence rate. Zbl 1184.92045
Wang, Xia; Song, Xinyu
2
2010
A predator-prey system with two impulses on the diseased prey and a Beddington-DeAngelis response. Zbl 1188.34061
Wang, Xia; Song, Xinyu
2
2010
Feasibility of time-limited control of a competition system with impulsive harvest. Zbl 1190.34056
Guo, Hongjian; Chen, Lansun; Song, Xinyu
2
2010
Stability of an age-structured SEIS epidemic model with infectivity in incubative period. Zbl 1403.92292
Guo, Shu-Min; Li, Xue-Zhi; Song, Xin-Yu
1
2010
A stage-structured predator-prey model with disturbing pulse and time delays. Zbl 1167.34372
Song, Xinyu; Hao, Meiying; Meng, Xinzhu
24
2009
Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Zbl 1168.92326
Song, Xinyu; Jiang, Yu; Wei, Huiming
24
2009
Extinction and permanence of chemostat model with pulsed input in a polluted environment. Zbl 1221.37209
Zhao, Zhong; Chen, Lansun; Song, Xinyu
23
2009
Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive control strategy. Zbl 1163.92332
Xiang, Zhongyi; Li, Yongfeng; Song, Xinyu
15
2009
Analysis of a delay prey-predator model with disease in the prey species only. Zbl 1168.92328
Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
12
2009
The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response. Zbl 1197.34012
Xiang, Zhongyi; Song, Xinyu
10
2009
Dynamical behavior of a virus dynamics model with CTL immune response. Zbl 1165.92027
Zhou, 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 1162.92038
Wei, Huiming; Jiang, Yu; Song, Xinyu; Su, G. H.; Qiu, S. Z.
9
2009
Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. Zbl 1162.92323
Wang, Xia; Tao, Youde; Song, Xinyu
9
2009
Mathematical model for the control of a pest population with impulsive perturbations on diseased pest. Zbl 1205.34102
Wang, Xia; Tao, Youde; Song, Xinyu
6
2009
The dynamics of an eco-epidemiological model with distributed delay. Zbl 1175.93022
Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
5
2009
Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence. Zbl 1165.92034
Jiang, Yu; Wei, Huiming; Song, Xinyu; Mei, Liquan; Su, Guanghui; Qiu, Suizheng
5
2009
Analysis of pulse vaccination strategy in SIRVS epidemic model. Zbl 1221.37201
Wang, Xia; Tao, Youde; Song, Xinyu
3
2009
Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Zbl 1205.34101
Wang, Xia; Song, Qiang; Song, Xinyu
3
2009
A delay differential equation model of HIV infection of \(\text{CD4}^{+}T\)-cells with cure rate. Zbl 1226.34082
Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
3
2009
Analysis of a stage-structured predator-prey system with impulsive perturbations and time delays. Zbl 1159.34053
Song, Xinyu; Li, Senlin; Li, An
2
2009
Dynamic analysis of a kind of species control model concerning impulsively releasing pathogen and infective predator. Zbl 1198.37126
Guo, Hongjian; Chen, Lansun; Song, Xinyu
1
2009
Asymptotic behaviour of the non-autonomous competing two-species Lotka-Volterra models with impulsive effect. Zbl 1169.34034
Li, 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 1142.34031
Song, Xinyu; Li, Yongfeng
63
2008
An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes. Zbl 1148.34034
Guo, Hongjian; Song, Xinyu
25
2008
Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. Zbl 1151.92030
Zhao, Zhong; Chen, Lansun; Song, Xinyu
24
2008
Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay. Zbl 1147.34355
Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
21
2008
Analysis of stability and Hopf bifurcation for an HIV infection model with time delay. Zbl 1136.92027
Zhou, 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 1146.34313
Jiang, Xiaowu; Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu
14
2008
Global stability of a stage-structured predator-prey system. Zbl 1173.34043
Song, Xinyu; Guo, Hongjian
13
2008
Mathematical models for the control of a pest population by infected pest. Zbl 1145.92339
Wang, Xia; Song, Xinyu
11
2008
Practical stability of nonlinear differential equation with initial time difference. Zbl 1168.34341
Song, Xinyu; Li, Senlin; Li, An
10
2008
Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions. Zbl 1156.34329
Li, Senlin; Song, Xinyu; Li, An
5
2008
Modeling and analysis of a harvesting fishery model in a two-patch environment. Zbl 1155.92348
Cai, 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 1146.34039
Xiang, Zhongyi; Song, Xinyu; Zhang, Fengqin
4
2008
Dynamics of a predator-prey system with pulses. Zbl 1152.92354
Li, Yongfeng; Cui, Jingan; Song, Xinyu
3
2008
Time-limited management strategies of a single-species with Allee effect. Zbl 1254.92078
Guo, Hongjian; Chen, Lansun; Song, Xinyu
2
2008
An impulsive predator-prey system with stage-structured and modified Leslie-Gower Holling II type scheme. Zbl 1177.92037
Jiang, Xiaowu; Yu, Min; Song, Xinyu
1
2008
Global stability and periodic solution of the viral dynamics. Zbl 1105.92011
Song, Xinyu; Neumann, Avidan U.
103
2007
Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect. Zbl 1136.34046
Song, Xinyu; Li, Yongfeng
26
2007
Permanence and stability of a predator-prey system with stage structure for predator. Zbl 1117.34070
Cai, Liming; Song, Xinyu
24
2007
Global stability and periodic solution of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1117.92040
Wang, Xia; Song, Xinyu
12
2007
Analysis of competitive chemostat models with the Beddington-DeAngelis functional response and impulsive effect. Zbl 1137.34026
Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun
9
2007
On the study of chemostat model with pulsed input in a polluted environment. Zbl 1187.34063
Zhao, Zhong; Song, Xinyu
7
2007
...and 29 more Documents
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. Hybrid Systems
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Computational and Applied Mathematics
9 Mathematical Problems in Engineering
9 Journal of Theoretical Biology
8 Differential Equations and Dynamical Systems
7 Journal of Systems Science and Complexity
7 Computational & Mathematical Methods in Medicine
6 Rocky Mountain Journal of Mathematics
6 Japan Journal of Industrial and Applied Mathematics
5 International Journal of Mathematics and Mathematical Sciences
5 Mathematics and Computers in Simulation
4 Bulletin of Mathematical Biology
4 Acta Applicandae Mathematicae
4 Applied Mathematics Letters
4 Journal of Mathematical Chemistry
4 Journal of Nonlinear Science and Applications
4 International Journal of Differential Equations
4 International Journal of Applied and Computational Mathematics
3 Journal of Mathematical Biology
3 International Journal of Computer Mathematics
3 Applied Mathematics. Series B (English Edition)
3 International Journal of Applied Mathematics and Computer Science
3 Communications on Pure and Applied Analysis
2 Applicable Analysis
2 Journal of Engineering Mathematics
2 Physica A
2 Acta Mathematica Vietnamica
2 Journal of Differential Equations
2 Applied Mathematics and Mechanics. (English Edition)
2 Stochastic Analysis and Applications
2 Acta Mathematicae Applicatae Sinica. English Series
2 SIAM Journal on Applied Mathematics
2 Journal of Nonlinear Science
2 Journal of Difference Equations and Applications
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Nonlinear Analysis. Modelling and Control
2 Advances in Complex Systems
2 Boundary Value Problems
2 Nonlinear Oscillations
2 Mathematical Modelling of Natural Phenomena
2 Afrika Matematika
2 Journal of Mathematics
2 Journal of Function Spaces
1 Indian Journal of Pure & Applied Mathematics
1 Lithuanian Mathematical Journal
1 Nonlinearity
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of the Korean Mathematical Society
1 Osaka Journal of Mathematics
1 Results in Mathematics
1 Ricerche di Matematica
1 Studies in Applied Mathematics
1 Theoretical Population Biology
1 Applied Numerical Mathematics
1 Neural Networks
1 International Journal of Mathematics
1 Computational Mathematics and Modeling
1 Machine Learning
1 International Journal of Adaptive Control and Signal Processing
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 European Journal of Operational Research
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Inequalities and Applications
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Natural Resource Modeling
1 Journal of Dynamical and Control Systems
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Applications and Applied Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Asian-European Journal of Mathematics
...and 13 more Serials

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