期刊
APPLIED MATHEMATICS LETTERS
卷 111, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106644
关键词
Turing-Hopf bifurcation; Predator-prey system; Delay; Chemotaxis; Fear effect
资金
- National Natural Science Foundation of China [11871475]
- Fundamental Research Funds for the Central Universities of Central South University, PR China [2019zzts212]
This paper investigates the dynamics of a diffusive predator-prey system with fear effect under Neumann boundary conditions, considering the impacts of chemotaxis and delay. It is found that chemotaxis-driven Turing bifurcation and discrete delay-driven Hopf bifurcation can occur simultaneously, leading to spatially homogeneous periodic oscillation, spatial patterns, and spatiotemporal patterns near the Turing-Hopf bifurcation through numerical simulations.
In this paper, we consider the impacts of the chemotaxis and delay on the dynamics of a diffusive predator-prey system with fear effect under the Neumann boundary conditions. Regarding chemotaxis coefficient and delay as bifurcation parameters, the existence of the codimension-two Turing-Hopf bifurcation is studied by analyzing the associated characteristic equation. We deduce that chemotaxisdriven Turing bifurcation and discrete delay-driven Hopf bifurcation can occur simultaneously. Finally, spatially homogeneous periodic oscillation, spatial patterns and spatiotemporal patterns appear near Turing-Hopf bifurcation by numerical simulations. (C) 2020 Elsevier Ltd. All rights reserved.
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