Global stability analysis of an eco-epidemiological model of the salton sea

Zhen Jin, Mainul Haque

Research output: Journal PublicationArticlepeer-review

11 Citations (Scopus)

Abstract

The Salton Sea, the largest lake of California, is now facing problems due to its massive fish and bird mortality. Haque and Chattopadhyay have proposed and analyzed an eco-epidemiological model on Salton Sea. The present article deals with the global stability analysis of the positive interior equilibrium of that eco-epidemiological model. We use the geometric approach to the global stability analysis for ordinary differential equations which is based on the use of higher-order generalization of Bendixson's criterion. Our conclusion is that for persistence of the pelican (main predator) populations in Salton Sea, harvesting of tilapia (specially infected) populations is an utmost important factor.

Original languageEnglish
Pages (from-to)373-385
Number of pages13
JournalJournal of Biological Systems
Volume14
Issue number3
DOIs
Publication statusPublished - Sep 2006
Externally publishedYes

Keywords

  • Compound Matrices
  • Global Stability
  • Infected Tilapia
  • Pelicans
  • Susceptible Tilapia

ASJC Scopus subject areas

  • Ecology
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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