An Impulsive Predator–Prey System with Modified Leslie–Gower Functional Response and Diffusion

• Li, Xiaoyue ^[1] ; Wang, Qi ^[1] ; Han, Renji ^[2]
  1. [1] Anhui University

     Anhui University

     China

     
  2. [2] Zhejiang, University of Science and Technology
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 3, 2021
• Idioma: inglés
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• Resumen

  • In this paper, an impulsive diffusive predator–prey system with modified Leslie–Gower functional response and Beddington–DeAngelis functional response is investigated. Some conditions for the permanence and the existence of a unique globally stable periodic solution of the predator–prey system are obtained by using the comparison theorem and Lyapunov functions. Some numerical simulations are listed to show the main results.