Spatial-Temporal Patterns Induced by Time Delay and Taxis in a Predator-Prey System

Xinshan Dong; Ben Niu

doi:10.1142/S0218127423501523

Spatial-Temporal Patterns Induced by Time Delay and Taxis in a Predator-Prey System

Xinshan Dong
, Ben Niu^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Time delays and taxi effects are important factors in the predator-prey interaction. This paper focuses on calculating the normal form on the center manifold near the Hopf bifurcation point for a general delayed diffusive predator-prey system with taxis under the Neumann boundary condition. A delayed diffusive Lotka-Volterra predator-prey model with prey-Taxis is considered as an application. By numerical simulations, in the two-parameter plane, different types of spatial-Temporal patterns are observed by varying delay or taxis.

Original language	English
Article number	2350152
Journal	International Journal of Bifurcation and Chaos
Volume	33
Issue number	13
DOIs	https://doi.org/10.1142/S0218127423501523
State	Published - 1 Oct 2023
Externally published	Yes

Keywords

Predator-prey model
delay
periodic solution
spatial-Temporal pattern
taxis

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10.1142/S0218127423501523

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abstract = "Time delays and taxi effects are important factors in the predator-prey interaction. This paper focuses on calculating the normal form on the center manifold near the Hopf bifurcation point for a general delayed diffusive predator-prey system with taxis under the Neumann boundary condition. A delayed diffusive Lotka-Volterra predator-prey model with prey-Taxis is considered as an application. By numerical simulations, in the two-parameter plane, different types of spatial-Temporal patterns are observed by varying delay or taxis.",

keywords = "Predator-prey model, delay, periodic solution, spatial-Temporal pattern, taxis",

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AU - Niu, Ben

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N2 - Time delays and taxi effects are important factors in the predator-prey interaction. This paper focuses on calculating the normal form on the center manifold near the Hopf bifurcation point for a general delayed diffusive predator-prey system with taxis under the Neumann boundary condition. A delayed diffusive Lotka-Volterra predator-prey model with prey-Taxis is considered as an application. By numerical simulations, in the two-parameter plane, different types of spatial-Temporal patterns are observed by varying delay or taxis.

AB - Time delays and taxi effects are important factors in the predator-prey interaction. This paper focuses on calculating the normal form on the center manifold near the Hopf bifurcation point for a general delayed diffusive predator-prey system with taxis under the Neumann boundary condition. A delayed diffusive Lotka-Volterra predator-prey model with prey-Taxis is considered as an application. By numerical simulations, in the two-parameter plane, different types of spatial-Temporal patterns are observed by varying delay or taxis.

KW - Predator-prey model

KW - delay

KW - periodic solution

KW - spatial-Temporal pattern

KW - taxis

UR - https://www.scopus.com/pages/publications/85175952793

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JF - International Journal of Bifurcation and Chaos

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M1 - 2350152

ER -

Spatial-Temporal Patterns Induced by Time Delay and Taxis in a Predator-Prey System

Abstract

Keywords

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