Eco-epidemiological model with fatal disease in the prey

David Greenhalgh, Qamar J.A. Khan, Fatma Ahmed Al-Kharousi

Research output: Contribution to journalArticle

Abstract

We investigate a model consisting of a predator population and both susceptible and infected prey populations. The predator can feed on either prey species but instead of choosing individuals at random the predator feeds preferentially on the most abundant prey species. More specifically we assume that the likelihood of a predator catching a susceptible prey or an infected prey is proportional to the numbers of these two different types of prey species. This phenomenon, involving changing preference from susceptible to infected prey, is called switching. Mukhopadhyay studied a switching model and proposed that the interaction of predators with infected prey is beneficial for the growth of the predator. In this model, we assume that the predator will eventually die as a result of eating infected prey. We find a threshold parameter R0 and showed that the disease will be eradicated from the system if R0 < 1.
Original languageEnglish
Article number103072
Number of pages19
JournalNonlinear Analysis: Real World Applications
Volume53
Early online date27 Nov 2019
DOIs
Publication statusPublished - 1 Jun 2020

Keywords

  • prey
  • predator
  • fatal disease
  • epidemiology
  • switching
  • epidemiological model

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