| Literature DB >> 22210964 |
Sahabuddin Sarwardi, Mainul Haque, Ezio Venturino.
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.Keywords: Boundedness; Ecoepidemiology; Epidemic models; Global stability; Hopf bifurcation; Local stability; Lyapunov function; Persistence; Population models
Year: 2010 PMID： 22210964 PMCID： PMC3006459 DOI： 10.1007/s10867-010-9201-9
Source DB: PubMed Journal: J Biol Phys ISSN： 0092-0606 Impact factor: 1.365