Numerical Hopf bifurcation of the forward Euler method for the reaction-diffusion logistic model
LIU Xueyang
WANG Qi
Abstract：In this paper,the forward Euler method is used to study the logistic reaction-diffusion population model with second-order mixed delay and instantaneous density restriction,and the dynamic problems of its numerical discrete system are analyzed.With the increase of time delay,it is proved that there are a series of Hopf bifurcations at the positive equilibrium point,and the stability of the fixed point is analyzed.Finally,the correctness of the theoretical results is verified by numerical simulation.
Keywords：forward Euler methodreaction-diffusion logistic modelHopf bifurcationstability
Publication Date：2024-05-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 74-80 )