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Periodic solution of a two-species competitive system with toxicant and birth pulse

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  • Liu, Zhijun
  • Chen, Lansun

Abstract

In this paper, we study the existence of positive periodic solution of two-species competitive system with toxicant and birth pulse. A set of easily verifiable sufficient conditions are derived for the existence of at least one positive periodic solution of the above system by using the method of coincidence degree. Numerical simulations are also presented to illustrate the feasibility of our main results.

Suggested Citation

  • Liu, Zhijun & Chen, Lansun, 2007. "Periodic solution of a two-species competitive system with toxicant and birth pulse," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1703-1712.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:5:p:1703-1712
    DOI: 10.1016/j.chaos.2005.12.004
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    Cited by:

    1. 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.
    2. Xie, Youxiang & Wang, Linjun & Deng, Qicheng & Wu, Zhengjia, 2017. "The dynamics of an impulsive predator–prey model with communicable disease in the prey species only," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 320-335.
    3. Qiao, Meihong & Liu, Anping & Fory’s, Urszula, 2015. "The dynamics of a time delayed epidemic model on a population with birth pulse," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 166-174.
    4. Cai, Liming & Li, Xuezhi & Yu, Jingyuan & Zhu, Guangtian, 2009. "Dynamics of a nonautonomous predator–prey dispersion–delay system with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2064-2075.

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