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

Sahabuddin Sarwardi, Mainul Haque, Ezio Venturino

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)91-106
JournalJournal of Biological Physics
Volume37
Issue number1
Early online date2 Sep 2010
DOIs
Publication statusPublished - 1 Jan 2011

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