Dynamics of a delayed diffusive predator–prey model with hyperbolic mortality

Li, Yan

doi:10.1007/s11071-016-2835-9

Cited by 5 publications

(1 citation statement)

References 32 publications

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“…Compared with (1), problem (3) is a special case that the growth function with harvesting is the combined term u(1 − h) − u 2 and τ = 0. We focus on the important role of the prey harvesting, while paper [10] is concerned with the role of the time delay, and we also obtain the global asymptotical stability of the unique positive constant equilibrium of the diffusive model in term of the iteration technique.…”

Section: Introductionmentioning

confidence: 99%

Global stability and Hopf bifurcation of a diffusive predator–prey model with hyperbolic mortality and prey harvesting

Zhao

2017

NAMC

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This paper is concerned with a predator-prey model with hyperbolic mortality and prey harvesting. The parameter regions for the stability and instability of the unique positive constant solution of ODE and PDE are derived, respectively. Especially, the global asymptotical stability of positive constant equilibrium of the diffusive model is obtained by iterative technique. The stability and direction of periodic solutions of ODE and PDE are investigated by center manifold theorem and normal form theory, respectively. Numerical simulations are carried out to depict our theoretical analysis.

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Section: Introductionmentioning

confidence: 99%