Journal of Jishou University(Natural Sciences Edition) ›› 2022, Vol. 43 ›› Issue (1): 10-14.DOI: 10.13438/j.cnki.jdzk.2022.01.002

• Mathematics • Previous Articles     Next Articles

Stability of Discrete-Time Predator-Prey Model with Fear Effect

SHU Qing,XIE Jingli,LIU Hanyan   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2022-01-25 Published:2022-05-16

Abstract: The constant capacity harvesting and the fear effect are introduced into the classic Leslie-Gower model.Through the stability theory of the dynamical system,the local asymptotically stability conditions of the predator-prey model at each equilibrium point are obtained,and the condition of Flip bifurcation at the positive equilibrium is obtained by using a new critical criterion.Numerical simulations illustrate that an appropriate increase in harvesting of predators can stabilize the system.

Key words: fear effect, constant-effort harvesting, predator-prey model, Leslie-Gower model, asymptotically stable, Flip bifurcation

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