A predator-prey model with disease in the predator species only

Research output: Journal PublicationArticlepeer-review

69 Citations (Scopus)

Abstract

In this paper we propose a predator-prey model with logistic growth in the prey population that includes an SIS parasitic infection in the predator population, with the assumption that the predator has an alternative source of food. For simplicity we initially work with a model involving the fractions of the predator which are susceptible and those infected and then translate the results back to the model with absolute numbers. Important thresholds R01, R02, R03 and R04 are identified and their implications have been explained. Our theoretical study indicates that the absence of prey may be beneficial for predator when a transmissible disease runs among the predator population. One important conclusion is that infection in the predator species may save the prey from extinction even if R02, the basic reproduction number for the prey to be able to invade the predator-only equilibrium, is less than one. Therefore infection in the predator species may be taken as biological control. Finally, analytical results have been supported by numerical simulations with the help of experimental data.

Original languageEnglish
Pages (from-to)2224-2236
Number of pages13
JournalNonlinear Analysis: Real World Applications
Volume11
Issue number4
DOIs
Publication statusPublished - Aug 2010
Externally publishedYes

Keywords

  • Eco-epidemiological model
  • Infected predator
  • SIS epidemic model
  • Stability and bifurcation analysis

ASJC Scopus subject areas

  • Analysis
  • Engineering (all)
  • Economics, Econometrics and Finance (all)
  • Computational Mathematics
  • Applied Mathematics

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