Global stability and persistence in LG–Holling type II diseased predator ecosystems

Sahabuddin Sarwardi; Mainul Haque; Ezio Venturino

doi:10.1007/s10867-010-9201-9

Global stability and persistence in LG–Holling type II diseased predator ecosystems

Sahabuddin Sarwardi, Mainul Haque, Ezio Venturino

School of Mathematics & Physics

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

Abstract

A Leslie–Gower–Holling type II model is modified to introduce a contagious disease in the predator population, assuming that disease cannot propagate to the prey. All the system’s equilibria are determined and the behaviour of the system near them is investigated. The main mathematical issues are global stability and bifurcations for some of the equilibria, together with sufficient conditions for persistence of the ecosystem. Counterintuitive results on the role played by intraspecific competition are highlighted.

Original language	English
Pages (from-to)	91-106
Journal	Journal of Biological Physics
Volume	37
Issue number	1
Early online date	2 Sept 2010
DOIs	https://doi.org/10.1007/s10867-010-9201-9
Publication status	Published - 1 Jan 2011

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title = "Global stability and persistence in LG–Holling type II diseased predator ecosystems",

abstract = "A Leslie–Gower–Holling type II model is modified to introduce a contagious disease in the predator population, assuming that disease cannot propagate to the prey. All the system{\textquoteright}s equilibria are determined and the behaviour of the system near them is investigated. The main mathematical issues are global stability and bifurcations for some of the equilibria, together with sufficient conditions for persistence of the ecosystem. Counterintuitive results on the role played by intraspecific competition are highlighted.",

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N2 - A Leslie–Gower–Holling type II model is modified to introduce a contagious disease in the predator population, assuming that disease cannot propagate to the prey. All the system’s equilibria are determined and the behaviour of the system near them is investigated. The main mathematical issues are global stability and bifurcations for some of the equilibria, together with sufficient conditions for persistence of the ecosystem. Counterintuitive results on the role played by intraspecific competition are highlighted.

AB - A Leslie–Gower–Holling type II model is modified to introduce a contagious disease in the predator population, assuming that disease cannot propagate to the prey. All the system’s equilibria are determined and the behaviour of the system near them is investigated. The main mathematical issues are global stability and bifurcations for some of the equilibria, together with sufficient conditions for persistence of the ecosystem. Counterintuitive results on the role played by intraspecific competition are highlighted.

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Global stability and persistence in LG–Holling type II diseased predator ecosystems

Abstract

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