Year: 2022
Author: Hongyu Chen, Chunrui Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 310–324
Abstract
A diffusive predator-prey system with Holling functional response is considered. Firstly, existence of positive equilibrium of this reaction diffusion model under Neumann boundary condition is obtained. Meanwhile, the existence conditions for Turing instability and Hopf bifurcations of a system with Holling II functional response are established. Next, the existence of the hydra effect is demonstrated, when the system is undergoing non-homogeneous steady-state solutions. Finally, numerical simulations are illustrated to support our theory results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.310
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 310–324
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Predator-prey model Turing instability Hopf bifurcation Hydra effect.