Edit Profile (opens in new tab) Song, Xinyu Co-Author Distance Author ID: song.xinyu Published as: Song, Xinyu; Song, Xin-Yu; Song, Xin-yu more...less External Links: ORCID Documents Indexed: 198 Publications since 1996, including 1 Additional arXiv Preprint Reviewing Activity: 68 Reviews Co-Authors: 107 Co-Authors with 187 Joint Publications 4,917 Co-Co-Authors all top 5 Co-Authors 1 single-authored 33 Wang, Xia 32 Chen, Lansun 22 Guo, Hongjian 21 Huang, Mingzhan 21 Shi, Xiangyun 19 Zhou, Xueyong 13 Liu, Shouzong 9 Tao, Youde 9 Xiang, Zhongyi 9 Zhao, Zhong 8 Cai, Liming 8 Cui, Jingan 7 Li, An 7 Wang, Shaoli 6 Li, Yongfeng 6 Wang, Yazhen 5 Jiang, Yu 4 Dong, Li 4 Huang, Chengdai 4 Jiang, Xiaowu 4 Li, Shuai 4 Li, Xuezhi 4 Rong, Libin 4 Tang, Jingyong 3 Kim, Donggyu 3 Li, Senlin 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 Li, Jiaxu 2 Neumann, Avidan U. 2 Pang, Liuyong 2 Qiu, Suizheng 2 Su, Guanghui 2 Suo, Yaohong 2 Tang, Shouzheng 2 Tian, Yuan 2 Wang, Zhixiang 2 Xu, Fei 2 Xu, Jing 2 Ye, Kaili 2 Zhang, Jiafang 2 Zhang, Ying 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 Greenwood, Garrison W. 1 Guo, Zhen 1 Hao, Meiying 1 Huang, Jicai 1 Jia, Jianwen 1 Lei, Yuancai 1 Li, Baohong 1 Li, Gang 1 Li, Jia 1 Li, Qiuying 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 Peng, Yucheng 1 Sharma, Ram P. 1 Shen, Mingwang 1 Song, Fang 1 Song, Qiang 1 Sun, Yan 1 Tian, Weijun 1 Wang, Dongyun 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 ...and 22 more Co-Authors all top 5 Serials 17 Applied Mathematics and Computation 16 International Journal of Biomathematics 9 Chaos, Solitons and Fractals 8 Applied Mathematical Modelling 8 Journal of Applied Mathematics and Computing 7 Journal of Biomathematics 7 Nonlinear Dynamics 6 Nonlinear Analysis. Real World Applications 6 Journal of Biological Dynamics 5 Mathematica Applicata 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Mathematical Methods in the Applied Sciences 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 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 Mathematics in Practice and Theory 2 Journal of Systems Science and Mathematical Sciences 2 Applied Mathematics Letters 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 Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Studies in Applied Mathematics 1 Statistics & Probability Letters 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 Acta Mathematica Scientia. Series B. (English Edition) 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 1 Statistical Theory and Related Fields all top 5 Fields 174 Biology and other natural sciences (92-XX) 162 Ordinary differential equations (34-XX) 25 Dynamical systems and ergodic theory (37-XX) 15 Systems theory; control (93-XX) 9 Partial differential equations (35-XX) 6 Statistics (62-XX) 6 Numerical analysis (65-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 151 Publications have been cited 1,964 times in 1,407 Documents Cited by ▼ Year ▼ Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049 Song, Xinyu; Chen, Lansun 152 2001 Global stability and periodic solution of the viral dynamics. Zbl 1105.92011 Song, Xinyu; Neumann, Avidan U. 138 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 80 2008 Modeling impulsive injections of insulin: towards artificial pancreas. Zbl 1325.92045 Huang, Mingzhan; Li, Jiaxu; Song, Xinyu; Guo, Hongjian 51 2012 Dynamical behavior of a delay virus dynamics model with CTL immune response. Zbl 1204.34110 Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 44 2010 Global properties of a delayed HIV infection model with CTL immune response. Zbl 1245.92036 Wang, Xia; Elaiw, Ahmed; Song, Xinyu 38 2012 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 36 2017 Analysis of a stage-structured predator-prey model with Crowley-Martin function. Zbl 1222.34054 Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 35 2011 Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Zbl 1168.92326 Song, Xinyu; Jiang, Yu; Wei, Huiming 35 2009 An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes. Zbl 1148.34034 Guo, Hongjian; Song, Xinyu 34 2008 Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay. Zbl 0903.92029 Song, Xinyu; Chen, Lansun 33 1998 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 32 2011 Extinction and permanence of chemostat model with pulsed input in a polluted environment. Zbl 1221.37209 Zhao, Zhong; Chen, Lansun; Song, Xinyu 30 2009 A delayed HIV-1 infection model with Beddington-DeAngelis functional response. Zbl 1209.34102 Wang, Xia; Tao, Youde; Song, Xinyu 30 2010 Dynamics analysis of a delayed viral infection model with immune impairment. Zbl 1228.34085 Wang, Shaoli; Song, Xinyu; Ge, Zhihao 30 2011 Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response. Zbl 1208.34128 Song, Xinyu; Wang, Shaoli; Dong, Jing 30 2011 Permanence of predator-prey system with stage structure. Zbl 1100.92062 Cui, Jingan; Song, Xinyu 29 2004 Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. Zbl 1151.92030 Zhao, Zhong; Chen, Lansun; Song, Xinyu 29 2008 Modelling and analysis of a single-species system with stage structure and harvesting. Zbl 1024.92015 Song, Xinyu; Chen, Lansun 29 2002 Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect. Zbl 1136.34046 Song, Xinyu; Li, Yongfeng 28 2007 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296 Huang, Mingzhan; Song, Xinyu; Li, Jia 28 2017 Properties of stability and Hopf bifurcation for a HIV infection model with time delay. Zbl 1193.34152 Song, Xinyu; Zhou, Xueyong; Zhao, Xiang 28 2010 Optimal harvesting and stability for a predator-prey system with stage structure. Zbl 1054.34125 Song, Xin-yu; Chen, Lan-sun 27 2002 A delay-differential equation model of HIV infection of \(CD4^+\) T-cells. Zbl 1078.92042 Song, Xinyu; Cheng, Shuhan 26 2005 Permanence and stability of a predator-prey system with stage structure for predator. Zbl 1117.34070 Cai, Liming; Song, Xinyu 25 2007 A stage-structured predator-prey model with disturbing pulse and time delays. Zbl 1167.34372 Song, Xinyu; Hao, Meiying; Meng, Xinzhu 25 2009 Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay. Zbl 1147.34355 Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 23 2008 Effect of prey refuge on a harvested predator-prey model with generalized functional response. Zbl 1221.34149 Tao, Youde; Wang, Xia; Song, Xinyu 23 2011 Persistence and periodic orbits for two-species predator-prey system with diffusion. Zbl 0941.92032 Song, Xinyu; Chen, Lansun 23 1998 Analysis of stability and Hopf bifurcation for an HIV infection model with time delay. Zbl 1136.92027 Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 22 2008 Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive control strategy. Zbl 1163.92332 Xiang, Zhongyi; Li, Yongfeng; Song, Xinyu 20 2009 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 20 2013 Global stability and periodic solution of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1117.92040 Wang, Xia; Song, Xinyu 19 2007 Conditions for global attractivity of \(n\)-patches predator-prey dispersion-delay models. Zbl 0982.34061 Song, Xinyu; Chen, Lansun 18 2001 Ratio-dependent predator-prey system with stage structure for prey. Zbl 1114.92056 Song, Xinyu; Cai, Liming; Neumann, Avidan U. 18 2004 Age-structured within-host HIV dynamics with multiple target cells. Zbl 1360.35304 Wang, Xia; Lou, Yijun; Song, Xinyu 18 2017 A modified Leslie-Gower predator-prey model with prey infection. Zbl 1205.34061 Zhou, Xueyong; Cui, Jingan; Shi, Xiangyun; Song, Xinyu 18 2010 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 17 2008 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 17 2018 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. 16 2009 The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects. Zbl 1447.92368 Song, Xinyu; Xiang, Zhongyi 16 2006 Mathematical models for the control of a pest population by infected pest. Zbl 1145.92339 Wang, Xia; Song, Xinyu 15 2008 Geometric properties of solution of a cylindrical dynamic system with impulsive state feedback control. Zbl 1309.34012 Guo, Hongjian; Chen, Lansun; Song, Xinyu 15 2015 Modeling impulsive insulin delivery in insulin pump with time delays. Zbl 1330.92060 Song, Xinyu; Huang, Mingzhan; Li, Jiaxu 15 2014 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 15 2017 Periodic solution of a delay differential equation of plankton allelopathy. Zbl 1036.34082 Song, Xinyu; Chen, Lansun 15 2003 Analysis of competitive chemostat models with the Beddington-DeAngelis functional response and impulsive effect. Zbl 1137.34026 Zhou, Xueyong; Song, Xinyu; Shi, Xiangyun 14 2007 Analysis of a delay prey-predator model with disease in the prey species only. Zbl 1168.92328 Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 14 2009 Dynamical behavior of a virus dynamics model with CTL immune response. Zbl 1165.92027 Zhou, Xueyong; Shi, Xiangyun; Zhang, Zhonghua; Song, Xinyu 14 2009 Uniform persistence and global attractivity for nonautonomous competitive systems with dispersion. Zbl 1027.92027 Song, Xinyu; Chen, Lansun 14 2002 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 14 2016 Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. Zbl 1427.34056 Cai, Liming; Huang, Jicai; Song, Xinyu; Zhang, Yuyue 14 2019 Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property. Zbl 1410.93053 Guo, Hongjian; Chen, Lansun; Song, Xinyu 14 2015 Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response. Zbl 1203.34134 Song, Xinyu; Wang, Shaoli; Zhou, Xueyong 14 2010 Global stability of a stage-structured predator-prey system. Zbl 1173.34043 Song, Xinyu; Guo, Hongjian 13 2008 Cost-effectiveness analysis of optimal strategy for tumor treatment. Zbl 1355.92052 Pang, Liuyong; Zhao, Zhong; Song, Xinyu 13 2016 Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. Zbl 1162.92323 Wang, Xia; Tao, Youde; Song, Xinyu 12 2009 Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control. Zbl 1242.92036 Wang, Shaoli; Wang, Shuli; Song, Xinyu 12 2012 Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Zbl 1234.92059 Wang, Xia; Tao, Youde; Song, Xinyu 11 2011 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 11 2013 The stage-structured predator-prey system with delay and harvesting. Zbl 1049.34096 Song, Xinyu; Cui, Jing’an 10 2002 Practical stability of nonlinear differential equation with initial time difference. Zbl 1168.34341 Song, Xinyu; Li, Senlin; Li, An 10 2008 Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057 Huang, Mingzhan; Song, Xinyu 10 2014 Qualitative analysis of a Korean pine forest model with impulsive thinning measure. Zbl 1298.92062 Guo, Hongjian; Song, Xinyu; Chen, Lansun 10 2014 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 10 2017 Harmless delays and global attractivity for nonautonomous predator-prey system with dispersion. Zbl 0952.34063 Song, Xinyu; Chen, Lansun 9 2000 The domain of attraction for the endemic equilibrium of an SIRS epidemic model. Zbl 1217.92076 Zhang, Zhonghua; Wu, Jianhua; Suo, Yaohong; Song, Xinyu 9 2011 The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response. Zbl 1197.34012 Xiang, Zhongyi; Song, Xinyu 9 2009 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 9 2018 Volatility analysis with realized GARCH-Itô models. Zbl 1471.62498 Song, Xinyu; Kim, Donggyu; Yuan, Huiling; Cui, Xiangyu; Lu, Zhiping; Zhou, Yong; Wang, Yazhen 8 2021 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 On the study of chemostat model with pulsed input in a polluted environment. Zbl 1187.34063 Zhao, Zhong; Song, Xinyu 7 2007 Mathematical model for the control of a pest population with impulsive perturbations on diseased pest. Zbl 1205.34102 Wang, Xia; Tao, Youde; Song, Xinyu 7 2009 Global stability and periodic solution of a model for HTLV-I infection and ATL progression. Zbl 1099.92042 Song, Xinyu; Li, Yongfeng 7 2006 Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions. Zbl 1156.34329 Li, Senlin; Song, Xinyu; Li, An 7 2008 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 virus infection models with density-dependent diffusion. Zbl 1396.92087 Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu 7 2017 Global analysis of an epidemic model with vaccination. Zbl 1395.92143 Cai, Li-Ming; Li, Zhaoqing; Song, Xinyu 7 2018 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 6 2009 The dynamics of an eco-epidemiological model with distributed delay. Zbl 1175.93022 Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 6 2009 Modeling and analysis of a harvesting fishery model in a two-patch environment. Zbl 1155.92348 Cai, Liming; Li, Xuezhi; Song, Xinyu 6 2008 Stability and Hopf bifurcation of an eco-epidemiological model with delays. Zbl 1071.34078 Song, Xinyu; Xiao, Yanni; Chen, Lansun 6 2005 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 6 2009 Global properties of a model of immune effector responses to viral infections. Zbl 1147.92019 Wang, Xia; Song, Xinyu 6 2007 Quantum science and quantum technology. Zbl 07292496 Wang, Yazhen; Song, Xinyu 6 2020 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 Dynamical properties of a delay prey-predator model with disease in the prey species only. Zbl 1210.37072 Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 5 2010 Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions. Zbl 1223.34012 Song, Xinyu; Li, An 5 2011 Global asymptotic stability of a two species competitive system with stage structure and harvesting. Zbl 0994.34066 Song, Xinyu; Chen, Lansun 5 2001 Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Zbl 1205.34101 Wang, Xia; Song, Qiang; Song, Xinyu 5 2009 Study of species in cooperative systems with impulsive state feedback control. Zbl 1274.34143 Huang, Mingzhan; Song, Xinyu; Guo, Hongjian; Meng, Lei 5 2012 Mathematical models of restoration and control of a single species with Allee effect. Zbl 1201.34016 Guo, Hongjian; Chen, Lansun; Song, Xinyu 5 2010 Dynamical analysis of a two-species competitive system with state feedback impulsive control. Zbl 1461.92102 Xu, Jing; Huang, Mingzhan; Song, Xinyu 5 2020 Impulsive release strategies of sterile mosquitos for optimal control of wild population. Zbl 1484.92146 Huang, Mingzhan; You, Lei; Liu, Shouzong; Song, Xinyu 5 2021 Study of the sterile insect release technique for a two-sex mosquito population model. Zbl 1471.92392 Huang, Mingzhan; Liu, Shouzong; Song, Xinyu 5 2021 Analysis of HIV models with multiple target cell populations and general nonlinear rates of viral infection and cell death. Zbl 1519.92317 Wang, Xia; Song, Xinyu; Tang, Sanyi; Rong, Libin 5 2016 Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input. Zbl 1107.92057 Song, Xinyu; Zhao, Zhong 4 2006 Stability properties of a delayed viral infection model with lytic immune response. Zbl 1233.34032 Song, Fang; Wang, Xia; Song, Xinyu 4 2011 A predator-prey system with stage structure and harvesting for predator. Zbl 1023.34075 Song, Xinyu; Chen, Lansun 4 2002 Study of a delayed mosquito population suppression model with stage and sex structure. Zbl 1512.92142 Huang, Mingzhan; Liu, Shouzong; Song, Xinyu 2 2023 Threshold dynamics of a stochastic SIQR epidemic model with imperfect quarantine. Zbl 1505.92245 Yang, Jingen; Shi, Xiangyun; Song, Xinyu; Zhao, Zhong 1 2023 Impact of the impulsive releases and Allee effect on the dispersal behavior of the wild mosquitoes. Zbl 1491.92138 Zhao, Zhong; Pang, Liuyong; Song, Xinyu; Wang, Dongyun; Li, Qiuying 2 2022 Control strategies for a tumor-immune system with impulsive drug delivery under a random environment. Zbl 1513.92032 Huang, Mingzhan; Liu, Shouzong; Song, Xinyu; Zou, Xiufen 2 2022 Volatility analysis with realized GARCH-Itô models. Zbl 1471.62498 Song, Xinyu; Kim, Donggyu; Yuan, Huiling; Cui, Xiangyu; Lu, Zhiping; Zhou, Yong; Wang, Yazhen 8 2021 Impulsive release strategies of sterile mosquitos for optimal control of wild population. Zbl 1484.92146 Huang, Mingzhan; You, Lei; Liu, Shouzong; Song, Xinyu 5 2021 Study of the sterile insect release technique for a two-sex mosquito population model. Zbl 1471.92392 Huang, Mingzhan; Liu, Shouzong; Song, Xinyu 5 2021 Dynamics of bilateral control system with state feedback for price adjustment strategy. Zbl 1482.34129 Zhang, Meng; Zhao, Yi; Song, Xinyu 1 2021 Quantum science and quantum technology. Zbl 07292496 Wang, Yazhen; Song, Xinyu 6 2020 Dynamical analysis of a two-species competitive system with state feedback impulsive control. Zbl 1461.92102 Xu, Jing; Huang, Mingzhan; Song, Xinyu 5 2020 Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. Zbl 1427.34056 Cai, Liming; Huang, Jicai; Song, Xinyu; Zhang, Yuyue 14 2019 Dynamical analysis of an integrated pest management predator-prey model with weak Allee effect. Zbl 1447.92560 Yu, Tingting; Tian, Yuan; Guo, Hongjian; Song, Xinyu 3 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 3 2019 Global dynamics of a cholera model with age structures and multiple transmission modes. Zbl 1421.35390 Wang, Xia; Chen, Yuming; Song, Xinyu 2 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 17 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 9 2018 Global analysis of an epidemic model with vaccination. Zbl 1395.92143 Cai, Li-Ming; Li, Zhaoqing; Song, Xinyu 7 2018 An age-structured epidemic model with waning immunity and general nonlinear incidence rate. Zbl 1395.35185 Wang, Xia; Zhang, Ying; Song, Xinyu 4 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 Numerical study of a smoothing algorithm for the complementarity system over the second-order cone. Zbl 1429.90081 Dong, Li; Tang, Jingyong; Song, Xinyu 2 2018 A non-monotone inexact non-interior continuation method based on a parametric smoothing function for LWCP. Zbl 1390.90534 Dong, Li; Tang, Jingyong; Song, Xinyu 1 2018 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 36 2017 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296 Huang, Mingzhan; Song, Xinyu; Li, Jia 28 2017 Age-structured within-host HIV dynamics with multiple target cells. Zbl 1360.35304 Wang, Xia; Lou, Yijun; Song, Xinyu 18 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 15 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 10 2017 Dynamics of virus infection models with density-dependent diffusion. Zbl 1396.92087 Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu 7 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 3 2017 Stability of a convex order one periodic solution of unilateral asymptotic type. Zbl 1390.34041 Huang, Mingzhan; Chen, Lansun; Song, Xinyu 3 2017 Global properties for an age-structured within-host model with Crowley-Martin functional response. Zbl 1360.37185 Wang, Shaoli; Song, Xinyu 3 2017 A kind of non-traditional biomanipulation model with constant releasing fish. Zbl 1371.34068 Guo, Hongjian; Chen, Lansun; Song, Xinyu 1 2017 Mathematical model for diabetes mellitus with impulsive injections of glucose-insulin. Zbl 1438.92035 Wang, Xia; Zhang, Ying; 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 14 2016 Cost-effectiveness analysis of optimal strategy for tumor treatment. Zbl 1355.92052 Pang, Liuyong; Zhao, Zhong; Song, Xinyu 13 2016 Analysis of HIV models with multiple target cell populations and general nonlinear rates of viral infection and cell death. Zbl 1519.92317 Wang, Xia; Song, Xinyu; Tang, Sanyi; Rong, Libin 5 2016 Geometric properties of solution of a cylindrical dynamic system with impulsive state feedback control. Zbl 1309.34012 Guo, Hongjian; Chen, Lansun; Song, Xinyu 15 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 14 2015 A within-host virus model with multiple infected stages under time-varying environments. Zbl 1410.92141 Wang, Xia; Liu, Shengqiang; Song, Xinyu 2 2015 Modeling impulsive insulin delivery in insulin pump with time delays. Zbl 1330.92060 Song, Xinyu; Huang, Mingzhan; Li, Jiaxu 15 2014 Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057 Huang, Mingzhan; Song, Xinyu 10 2014 Qualitative analysis of a Korean pine forest model with impulsive thinning measure. Zbl 1298.92062 Guo, Hongjian; Song, Xinyu; Chen, Lansun 10 2014 Permanence and extinction for a nonautonomous malaria transmission model with distributed time delay. Zbl 1437.92148 Zhang, Xiaohong; Jia, Jianwen; Song, Xinyu 3 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 3 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 20 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 11 2013 A class of delayed virus dynamics models with multiple target cells. Zbl 1315.34088 Wang, Xia; Chen, Yuefen; Liu, Shengqiang; Song, Xinyu 4 2013 Dynamics of a non-autonomous HIV-1 infection model with delays. Zbl 1300.92053 Wang, Xia; 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 51 2012 Global properties of a delayed HIV infection model with CTL immune response. Zbl 1245.92036 Wang, Xia; Elaiw, Ahmed; Song, Xinyu 38 2012 Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control. Zbl 1242.92036 Wang, Shaoli; Wang, Shuli; Song, Xinyu 12 2012 Study of species in cooperative systems with impulsive state feedback control. Zbl 1274.34143 Huang, Mingzhan; Song, Xinyu; Guo, Hongjian; Meng, Lei 5 2012 Analysis of an impulsive epidemic model with time delays and nonlinear incidence rates. Zbl 1270.92033 Jiang, Yu; Mei, Liquan; Song, Xinyu; Tian, Weijun; Ding, Xuemei 1 2012 On the study of an integrated pest control model with state-dependent impulsive effect. Zbl 1289.34124 Shi, Xiangyun; Song, Xinyu 1 2012 Analysis of a stage-structured predator-prey model with Crowley-Martin function. Zbl 1222.34054 Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 35 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 32 2011 Dynamics analysis of a delayed viral infection model with immune impairment. Zbl 1228.34085 Wang, Shaoli; Song, Xinyu; Ge, Zhihao 30 2011 Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response. Zbl 1208.34128 Song, Xinyu; Wang, Shaoli; Dong, Jing 30 2011 Effect of prey refuge on a harvested predator-prey model with generalized functional response. Zbl 1221.34149 Tao, Youde; Wang, Xia; Song, Xinyu 23 2011 Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Zbl 1234.92059 Wang, Xia; Tao, Youde; Song, Xinyu 11 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 9 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 and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions. Zbl 1223.34012 Song, Xinyu; Li, An 5 2011 Stability properties of a delayed viral infection model with lytic immune response. Zbl 1233.34032 Song, Fang; Wang, Xia; Song, Xinyu 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 Analysis of a differential equation model of HIV infection of CD4\(^{+} T\)-cells with saturated reverse function. Zbl 1251.34069 Shi, Xiangyun; Li, Gang; Zhou, Xueyong; 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 44 2010 A delayed HIV-1 infection model with Beddington-DeAngelis functional response. Zbl 1209.34102 Wang, Xia; Tao, Youde; Song, Xinyu 30 2010 Properties of stability and Hopf bifurcation for a HIV infection model with time delay. Zbl 1193.34152 Song, Xinyu; Zhou, Xueyong; Zhao, Xiang 28 2010 A modified Leslie-Gower predator-prey model with prey infection. Zbl 1205.34061 Zhou, Xueyong; Cui, Jingan; Shi, Xiangyun; Song, Xinyu 18 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 14 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 5 2010 Mathematical models of restoration and control of a single species with Allee effect. Zbl 1201.34016 Guo, Hongjian; Chen, Lansun; Song, Xinyu 5 2010 Dynamical behavior for an eco-epidemiological model with discrete and distributed delay. Zbl 1190.92044 Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu 4 2010 Study on the stability of nonlinear differential equations with initial time difference. Zbl 1260.34114 Song, Xinyu; Li, An; Wang, Zhixiang 3 2010 Feasibility of time-limited control of a competition system with impulsive harvest. Zbl 1190.34056 Guo, Hongjian; Chen, Lansun; Song, Xinyu 3 2010 Analysis of an impulsive pest management SEI model with nonlinear incidence rate. Zbl 1184.92045 Wang, Xia; Song, Xinyu 3 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 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 Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays. Zbl 1168.92326 Song, Xinyu; Jiang, Yu; Wei, Huiming 35 2009 Extinction and permanence of chemostat model with pulsed input in a polluted environment. Zbl 1221.37209 Zhao, Zhong; Chen, Lansun; Song, Xinyu 30 2009 A stage-structured predator-prey model with disturbing pulse and time delays. Zbl 1167.34372 Song, Xinyu; Hao, Meiying; Meng, Xinzhu 25 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 20 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. 16 2009 Analysis of a delay prey-predator model with disease in the prey species only. Zbl 1168.92328 Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 14 2009 Dynamical behavior of a virus dynamics model with CTL immune response. Zbl 1165.92027 Zhou, Xueyong; Shi, Xiangyun; Zhang, Zhonghua; Song, Xinyu 14 2009 Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. Zbl 1162.92323 Wang, Xia; Tao, Youde; 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 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 7 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 6 2009 The dynamics of an eco-epidemiological model with distributed delay. Zbl 1175.93022 Zhou, Xueyong; Shi, Xiangyun; Song, Xinyu 6 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 6 2009 Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Zbl 1205.34101 Wang, Xia; Song, Qiang; Song, Xinyu 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 system with impulsive perturbations and time delays. Zbl 1159.34053 Song, Xinyu; Li, Senlin; Li, An 2 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 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 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 80 2008 An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes. Zbl 1148.34034 Guo, Hongjian; Song, Xinyu 34 2008 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,853 Authors 76 Chen, Lansun 76 Song, Xinyu 46 Elaiw, Ahmed M. 43 Xu, Rui 38 Meng, Xinzhu 38 Teng, Zhi-dong 30 Chen, Fengde 24 Wang, Xia 23 Jiao, Jianjun 19 Tang, Sanyi 19 Zhang, Qingling 19 Zhou, Xueyong 18 Zhang, Tongqian 17 Ma, Wanbiao 17 Shi, Xiangyun 16 Cheng, Huidong 16 Huang, Mingzhan 16 Jiang, Daqing 15 de la Sen, Manuel 15 Kar, Tapan Kumar 14 Cai, Shaohong 14 Liu, Chao 14 Liu, Zhijun 14 Rong, Libin 13 Agarwal, Ravi P. 13 Alshamrani, Noura H. 13 Cui, Jingan 13 Huo, Hai-Feng 13 Zhang, Long 13 Zhong, Shou-Ming 12 Cai, Liming 12 Chaplain, Mark A. J. 12 Davidson, Fordyce A. 12 Guo, Hongjian 12 Ibeas, Asier 12 Li, Xuezhi 12 Liu, Bing 12 Liu, Shouzong 12 Miao, Hui 12 Zhang, Tonghua 11 Alonso Quesada, Santiago 11 Gao, Shujing 11 Pei, Yongzhen 11 Wang, Jinliang 11 Wang, Shaoli 11 Xu, Changjin 10 Chen, Yuming 10 Hattaf, Khalid 10 Liu, Xianning 10 Nie, Linfei 10 Tian, Yuan 10 Yu, Hengguo 10 Yuan, Sanling 10 Zhao, Zhong 9 Liu, Qun 9 Liu, Shengqiang 9 Pitchaimani, M. 9 Samanta, Guru Prasad 9 Wei, Junjie 9 Yang, Yu 8 Dubey, Balram 8 Guo, Ting 8 Hayat, Tasawar 8 Hu, Zhixing 8 Lv, Yunfei 8 Ma, Zhihui 8 Qiu, Zhipeng 8 Takeuchi, Yasuhiro 7 Al-saedi, Ahmed Eid Salem 7 Dai, Binxiang 7 Dhar, Joydip 7 Huang, Chengdai 7 Li, Zuxiong 7 Luo, Demou 7 Ma, Zhien 7 Muhammadhaji, Ahmadjan 7 Nilam, Murray E. Alexander 7 Wang, Kaifa 7 Wang, Shufan 7 Wu, Jianhua 7 Xiao, Yanni 7 Yang, Jin 7 Yu, Jian-She 7 Zhao, Wencai 6 Abdurahman, Xamxinur 6 Adak, Debadatta 6 Alshaikh, Matuka A. 6 Bairagi, Nandadulal 6 Cheke, Robert A. 6 Djilali, Salih 6 Dong, Lingzhen 6 Huang, Lihong 6 Jana, Soovoojeet 6 Jin, Zhen 6 Li, Jia 6 Li, Limei 6 Li, Yongfeng 6 Liao, Fucheng 6 Liao, Maoxin 6 Nieto Roig, Juan Jose ...and 1,753 more Authors all top 5 Cited in 148 Serials 115 Applied Mathematics and Computation 87 Advances in Difference Equations 75 International Journal of Biomathematics 67 Nonlinear Analysis. Real World Applications 63 Discrete Dynamics in Nature and Society 60 Chaos, Solitons and Fractals 55 Journal of Applied Mathematics and Computing 52 Mathematical Biosciences and Engineering 47 Nonlinear Dynamics 38 Communications in Nonlinear Science and Numerical Simulation 36 Abstract and Applied Analysis 34 Applied Mathematical Modelling 32 Discrete and Continuous Dynamical Systems. 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(English Edition) 5 Boundary Value Problems 5 Journal of Function Spaces 5 AIMS Mathematics 4 Applicable Analysis 4 Journal of Mathematical Chemistry 4 Communications on Pure and Applied Analysis 4 Mathematical Modelling of Natural Phenomena 4 Journal of Nonlinear Science and Applications 4 International Journal of Differential Equations 4 Electronic Research Archive 3 Indian Journal of Pure & Applied Mathematics 3 Stochastic Analysis and Applications 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Journal on Applied Mathematics 3 Journal of Nonlinear Science 3 Applied Mathematics. Series B (English Edition) 3 Journal of Difference Equations and Applications 3 Journal of Inequalities and Applications 3 International Journal of Applied Mathematics and Computer Science 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Open Mathematics 3 International Journal of Systems Science. 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Serie II 1 Results in Mathematics ...and 48 more Serials all top 5 Cited in 29 Fields 1,289 Biology and other natural sciences (92-XX) 984 Ordinary differential equations (34-XX) 228 Dynamical systems and ergodic theory (37-XX) 131 Partial differential equations (35-XX) 119 Systems theory; control (93-XX) 66 Probability theory and stochastic processes (60-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 50 Numerical analysis (65-XX) 22 Operator theory (47-XX) 21 Difference and functional equations (39-XX) 16 Real functions (26-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 7 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 3 Statistics (62-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) Citations by Year