Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response

Meng Fan; Yang Kuang

doi:10.1016/j.jmaa.2004.02.038

Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response

Meng Fan, Yang Kuang

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

170 Scopus citations

Abstract

In this paper, we systematically study the dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (almost periodic) case. The paper ends with some interesting numerical simulations that complement our analytical findings.

Original language	English (US)
Pages (from-to)	15-39
Number of pages	25
Journal	Journal of Mathematical Analysis and Applications
Volume	295
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2004.02.038
State	Published - Jul 1 2004

Keywords

Almost periodic solution
Beddington-DeAngelis predator-prey system
Extinction
Periodic solution
Permanence

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2004.02.038

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title = "Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response",

abstract = "In this paper, we systematically study the dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (almost periodic) case. The paper ends with some interesting numerical simulations that complement our analytical findings.",

keywords = "Almost periodic solution, Beddington-DeAngelis predator-prey system, Extinction, Periodic solution, Permanence",

author = "Meng Fan and Yang Kuang",

note = "Funding Information: Keywords: Beddington–DeAngelis predator–prey system; Permanence; Extinction; Periodic solution; Almost periodic solution * Corresponding author. E-mail addresses: mfan@nenu.edu.cn (M. Fan), kuang@asu.edu (Y. Kuang). 1 Supported by the NNSF of PR China (No. 10171010 and 10201005), the Key Project on Science and Technology of the Education Ministry of PR China (No. Key 01061) and the Science Foundation of Jilin Province of PR China for Distinguished Young Scholars. 2 Work is partially supported by NSF grant DMS-0077790.",

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doi = "10.1016/j.jmaa.2004.02.038",

language = "English (US)",

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AU - Fan, Meng

AU - Kuang, Yang

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Y1 - 2004/7/1

N2 - In this paper, we systematically study the dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (almost periodic) case. The paper ends with some interesting numerical simulations that complement our analytical findings.

AB - In this paper, we systematically study the dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (almost periodic) case. The paper ends with some interesting numerical simulations that complement our analytical findings.

KW - Almost periodic solution

KW - Beddington-DeAngelis predator-prey system

KW - Extinction

KW - Periodic solution

KW - Permanence

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Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response

Abstract

Keywords

ASJC Scopus subject areas

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