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Nonlinear analysis of a delayed stage-structured predator–prey model with impulsive effect and environment pollution

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  • Zhao, Zhong
  • Wu, Xianbin

Abstract

In this paper, we investigate a stage-structured predator–prey model with impulsive poisoning and environment pollution. Sufficient conditions which guaranteed the global attractivity of predator-extinction periodic solution and permanence of the system are obtained. We believe that the results will provide reliable tactic basis for the practical pest management.

Suggested Citation

  • Zhao, Zhong & Wu, Xianbin, 2014. "Nonlinear analysis of a delayed stage-structured predator–prey model with impulsive effect and environment pollution," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1262-1268.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:1262-1268
    DOI: 10.1016/j.amc.2014.01.003
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    References listed on IDEAS

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    1. Jiao, Jianjun & Ye, Kaili & Chen, Lansun, 2011. "Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 17-27.
    2. Zhao, Zhong & Chen, Lansun & Song, Xinyu, 2008. "Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 500-510.
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    Cited by:

    1. Feifei Bian & Wencai Zhao & Yi Song & Rong Yue, 2017. "Dynamical Analysis of a Class of Prey-Predator Model with Beddington-DeAngelis Functional Response, Stochastic Perturbation, and Impulsive Toxicant Input," Complexity, Hindawi, vol. 2017, pages 1-18, December.
    2. Wang, Xiaohong & Jia, Jianwen, 2015. "Dynamic of a delayed predator–prey model with birth pulse and impulsive harvesting in a polluted environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 1-15.
    3. Zhao, Zhong & Li, Qiuying & Chen, Lansun, 2018. "Effect of rhizosphere dispersal and impulsive input on the growth of wetland plant," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 152(C), pages 69-80.
    4. Maiti, Atasi Patra & Dubey, B. & Chakraborty, A., 2019. "Global analysis of a delayed stage structure prey–predator model with Crowley–Martin type functional response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 58-84.

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