DETERMINISTIC PREDATOR-PREY MODELS with DISEASE in the PREY POPULATION

Sophia R.J. Jang, Hsiu Chuan Wei

Research output: Contribution to journalArticlepeer-review

Abstract

A class of deterministic predator-prey systems, where the prey population is subject to an infectious disease, is studied. The disease can be transmitted both horizontally and vertically within the host population but cannot be spread between the two trophic levels. Using the mathematical tools of uniform persistence, we derive sufficient conditions for which the interacting populations can coexist. Criteria based on model parameters for which either only the infected prey or healthy prey persists are also provided. It is found through numerical investigations that predation can change competition outcomes between healthy and infected prey populations. Depending on the parameter regimes and initial conditions, predation can either eradicate or promote the disease. As infected prey provides a resource for the predators, disease may promote persistence of the predators. However, infected prey may dominate the predator-prey community if disease is very infectious. In addition, disease in the prey population can mediate a hydra effect in predators and may induce chaotic interactions.

Original languageEnglish
Pages (from-to)751-784
Number of pages34
JournalJournal of Biological Systems
Volume28
Issue number3
DOIs
StatePublished - Sep 1 2020

Keywords

  • Bistability
  • Disease Reproductive Number
  • Predator Maximum Reproductive Number
  • Predator-Prey Interaction
  • Uniform Persistence

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