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Hopf Bifurcation Analysis of a Host-generalist Parasitoid Model with Diffusion Term and Time Delay.

Authors :
Zijun Liu
Ruizhi Yang
Source :
Journal of Nonlinear Modeling & Analysis; Sep2021, Vol. 3 Issue 3, p447-463, 17p
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25622854
Volume :
3
Issue :
3
Database :
Complementary Index
Journal :
Journal of Nonlinear Modeling & Analysis
Publication Type :
Academic Journal
Accession number :
156322074
Full Text :
https://doi.org/10.12150/jnma.2021.447