A predator-prey system with stage-structure for predator and nonlocal delay

Z.G. Lin; Michael Pedersen; Lai Zhang

doi:10.1016/j.na.2009.10.002

A predator-prey system with stage-structure for predator and nonlocal delay

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

This paper deals with the behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition, which describes a prey-predator model with nonlocal delay. Sufficient conditions for the global stability of each equilibrium are derived by the Lyapunov functional and the results show that the introduction of stage-structure into predator positively affects the coexistence of prey and predator. Numerical simulations are performed to illustrate the results.

Original language	English
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	72
Issue number	3-4
Pages (from-to)	2019-2030
ISSN	0362-546X
DOIs	https://doi.org/10.1016/j.na.2009.10.002
Publication status	Published - 2010

Keywords

Lyapunov functional
Stage-structure
Reaction-diffusion
Nonlocal delay

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10.1016/j.na.2009.10.002

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title = "A predator-prey system with stage-structure for predator and nonlocal delay",

abstract = "This paper deals with the behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition, which describes a prey-predator model with nonlocal delay. Sufficient conditions for the global stability of each equilibrium are derived by the Lyapunov functional and the results show that the introduction of stage-structure into predator positively affects the coexistence of prey and predator. Numerical simulations are performed to illustrate the results.",

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T1 - A predator-prey system with stage-structure for predator and nonlocal delay

AU - Lin, Z.G.

AU - Pedersen, Michael

AU - Zhang, Lai

PY - 2010

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N2 - This paper deals with the behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition, which describes a prey-predator model with nonlocal delay. Sufficient conditions for the global stability of each equilibrium are derived by the Lyapunov functional and the results show that the introduction of stage-structure into predator positively affects the coexistence of prey and predator. Numerical simulations are performed to illustrate the results.

AB - This paper deals with the behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition, which describes a prey-predator model with nonlocal delay. Sufficient conditions for the global stability of each equilibrium are derived by the Lyapunov functional and the results show that the introduction of stage-structure into predator positively affects the coexistence of prey and predator. Numerical simulations are performed to illustrate the results.

KW - Lyapunov functional

KW - Stage-structure

KW - Reaction-diffusion

KW - Nonlocal delay

U2 - 10.1016/j.na.2009.10.002

DO - 10.1016/j.na.2009.10.002

M3 - Journal article

SN - 0362-546X

VL - 72

SP - 2019

EP - 2030

JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

IS - 3-4

ER -

A predator-prey system with stage-structure for predator and nonlocal delay

Abstract

Keywords

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