Year: 2021
Author: Zijun Liu, Ruizhi Yang
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 447–463
Abstract
In this paper, we studied a delayed host-generalist parasitoid model with Holling II functional response and diffusion term. The Turing instability and local stability are studied. The existence of Hopf bifurcation is investigated, and some explicit formulas for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived by the theory of center manifold and normal form method. Some numerical simulations are carried out.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.447
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 447–463
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Delay Diffusion Turing instability Hopf bifurcation.