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Persistence and Extinction in Two Species Models with Impulse 被引量：4

Persistence and Extinction in Two Species Models with Impulse
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摘要 Both uniform persistence and global extinction are established for a two species predatorprey and competition system with impulse by appealing to theories of abstract persistence, asymptotically autonomous semiflows, and the comparison theorem. Both uniform persistence and global extinction are established for a two species predatorprey and competition system with impulse by appealing to theories of abstract persistence, asymptotically autonomous semiflows, and the comparison theorem.
作者 Xian Zhang WEN Zhi Cheng WANG
机构地区 Department of Mathematics Department of Applied Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第2期447-454,共8页 数学学报（英文版）
基金 supported by NNFs (Nos: 10271044, A0324623)
关键词 IMPULSE PERSISTENCE EXTINCTION Impulse, Persistence, Extinction
分类号 O175 [理学—基础数学]
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参考文献7

  • 1Waltman, P.: A brief survey of persistence in dynamic systems, in Delay-differential equations and dynamical systems. Lecture Notes in Math., 1475, 31-40 (1991).
  • 2Hutson, V., Schmit, K.: Permanence and the dynamics of biological systems. Math, Biosci., 111, 1-71(1990).
  • 3Zhao, X. Q.: Uniform and periodic coexistence states in infinite-dimensional periodic semiflows with applications. Candian Applied Mathematics Quarterly, 3, 473-495 (1993).
  • 4Ruan, S. G., Zhao, X. Q.: Persistence and extinction in two species reactin-diffusion systems with delays.J. Differential Equations, 156, 71-92 (1999).
  • 5Ruan, S. G., Zhao, X. Q.: Persistence and extinction in two species reactin-diffusion systems with delays.J. Differential Equations, 156, 71-92 (1999).
  • 6Bainov, D., Simeonov, P.: Impulsive differential equations: periodic solutions and applications, Pitman Monographs and Surveys in Pure and Applied Mathematics, 66, 1993.
  • 7Zhang, Y. M., Liu, M.: Attractivity for the periodic solution of a class impulsive differential equations.Journal of Shanxi University (Nat. Sci Ed.), 23, 107-109 (2000)..

同被引文献11

  • 1Meng Liu,Ke Wang.On a stochastic logistic equation with impulsive perturbations[J].Computers and Mathematics with Applications.2011(5)
  • 2Daqing Jiang,Jiajia Yu,Chunyan Ji,Ningzhong Shi.Asymptotic behavior of global positive solution to a stochastic SIR model[J].Mathematical and Computer Modelling.2011(1)
  • 3Lijuan Chen,Fengde Chen.Dynamic behaviors of the periodic predator–prey system with distributed time delays and impulsive effect[J].Nonlinear Analysis: Real World Applications.2011(4)
  • 4Meng Liu,Ke Wang.Global stability of a nonlinear stochastic predator–prey system with Beddington–DeAngelis functional response[J].Communications in Nonlinear Science and Numerical Simulation.2010(3)
  • 5Jianjun Jiao,Kaili Ye,Lansun Chen.Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant[J].Chaos Solitons and Fractals.2010(1)
  • 6Meng Liu,Ke Wang.Persistence and extinction in stochastic non-autonomous logistic systems[J].Journal of Mathematical Analysis and Applications.2010(2)
  • 7Chunyan Ji,Daqing Jiang,Xiaoyue Li.Qualitative analysis of a stochastic ratio-dependent predator–prey system[J].Journal of Computational and Applied Mathematics.2010(5)
  • 8Bing Liu,Qian Zhang,Yinghui Gao.The dynamics of pest control pollution model with age structure and time delay[J].Applied Mathematics and Computation.2010(10)
  • 9Chunyan Ji,Daqing Jiang,Ningzhong Shi.Analysis of a predator–prey model with modified Leslie–Gower and Holling-type II schemes with stochastic perturbation[J].Journal of Mathematical Analysis and Applications.2009(2)
  • 10Juan Hou,Zhidong Teng,Shujing Gao.Permanence and global stability for nonautonomous N -species Lotka–Valterra competitive system with impulses[J].Nonlinear Analysis: Real World Applications.2009(3)

引证文献4

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Acta Mathematica Sinica,English Series
2006年 第2期

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