An ecoepidemiological model with disease in predator: The ratio-dependent case

Mainul Haque, Ezio Venturino

Research output: Journal PublicationArticlepeer-review

80 Citations (Scopus)

Abstract

We propose a ratio-dependent demographic predator-prey model in which also a disease spreads among predators via homogeneous mixing. Equilibria of the system are analysed, numerical evidence shows limit cycles to arise. The disease effects on the model are discussed. Comparisons of these findings with results of some related investigations allow the general conclusion that an infection in either species, prey or predator, may act as a biological control.

Original languageEnglish
Pages (from-to)1791-1809
Number of pages19
JournalMathematical Methods in the Applied Sciences
Volume30
Issue number14
DOIs
Publication statusPublished - 25 Sep 2007
Externally publishedYes

Keywords

  • Ecoepidemiology
  • Epidemic models
  • Global stability
  • Local stability
  • Persistence
  • Population models

ASJC Scopus subject areas

  • Mathematics (all)
  • Engineering (all)

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