Global stability and persistence in LG-Holling type II diseased predator ecosystems.
作者信息
Sarwardi Sahabuddin, Haque Mainul, Venturino Ezio
出版信息
J Biol Phys. 2011 Jan;37(1):91-106. doi: 10.1007/s10867-010-9201-9. Epub 2010 Sep 2.
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.
摘要
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