Coexistence in a discrete competition model with dispersal

Yunshyong Chow; Sophia R.J. Jang

doi:10.1080/10236198.2012.663361

Coexistence in a discrete competition model with dispersal

Yunshyong Chow, Sophia R.J. Jang

Mathematics and Statistics

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

4 Scopus citations

Abstract

We propose a discrete-time competition model between two populations to study the effects of dispersal upon population interactions. It is assumed that dispersal occurs after reproduction and in synchrony. We first analyse a two-patch single species population model with no interspecific competition. Based on these results, we derive sufficient conditions for population coexistence. It is proved that the system is uniformly persistent and possesses a unique coexisting equilibrium.

Original language	English
Pages (from-to)	615-632
Number of pages	18
Journal	Journal of Difference Equations and Applications
Volume	19
Issue number	4
DOIs	https://doi.org/10.1080/10236198.2012.663361
State	Published - Apr 2013

Keywords

competitive system
cooperative system
dispersal
global asymptotic stability
uniform persistence

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abstract = "We propose a discrete-time competition model between two populations to study the effects of dispersal upon population interactions. It is assumed that dispersal occurs after reproduction and in synchrony. We first analyse a two-patch single species population model with no interspecific competition. Based on these results, we derive sufficient conditions for population coexistence. It is proved that the system is uniformly persistent and possesses a unique coexisting equilibrium.",

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author = "Yunshyong Chow and Jang, {Sophia R.J.}",

note = "Funding Information: S. Jang acknowledges the financial and staff support of the Institute of Mathematics, Academia Sinica of Taiwan for her March and summer 2011 visits to the institute. Jang also acknowledges the financial support from the Mathematics Research Promotion Center, National Science Council of Republic of China for her winter 2011 visit to Taiwan.",

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AB - We propose a discrete-time competition model between two populations to study the effects of dispersal upon population interactions. It is assumed that dispersal occurs after reproduction and in synchrony. We first analyse a two-patch single species population model with no interspecific competition. Based on these results, we derive sufficient conditions for population coexistence. It is proved that the system is uniformly persistent and possesses a unique coexisting equilibrium.

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KW - cooperative system

KW - dispersal

KW - global asymptotic stability

KW - uniform persistence

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SN - 1023-6198

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Coexistence in a discrete competition model with dispersal

Abstract

Keywords

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