Bifurcation and Instability of a Spatial Epidemic Model

International Journal of Bifurcation and Chaos, Journal Year: 2024, Volume and Issue: 34(09)

Published: July 1, 2024

This paper is concerned with a spatial [Formula: see text] epidemic model nonlinear incidence rate. First, the existence of equilibrium discussed in different conditions. Then main criteria for stability and instability constant steady-state solutions are presented. In addition, effect diffusion coefficients on Turing described. Next, by applying normal form theory center manifold theorem, direction Hopf bifurcation ordinary differential equations system partial given, respectively. The diagrams bifurcations shown. Moreover, priori estimates local investigated. Furthermore, our analysis focuses providing specific conditions that can determine extend to global one. Finally, numerical results demonstrate intrinsic growth rate, denoted as text], has significant influence pattern. Specifically, patterns appear, increase text]. obtained greatly expand discovery pattern formation model.

Language: Английский

Turing instability of periodic solutions for a general Brusselator model with cross-diffusion

Journal of Mathematical Analysis and Applications, Journal Year: 2024, Volume and Issue: 541(1), P. 128683 - 128683

Published: July 14, 2024

Language: Английский