Global stability and Hopf bifurcation in a delayed diffusive Leslie-Gower predator-prey System

نویسندگان

  • Shanshan Chen
  • Junping Shi
  • Junjie Wei
چکیده

In this paper, we consider a delayed diffusive Leslie–Gower predator–prey system with homogeneous Neumann boundary conditions. The stability/instability of the coexistence equilibrium and associated Hopf bifurcation are investigated by analyzing the characteristic equations. Furthermore, using the upper and lower solutions method, we give a sufficient condition on parameters so that the coexistence equilibrium is globally asymptotically stable.

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عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2012