Bulletin of Mathematical Biology

, Volume 72, Issue 2, pp 444–468

Modelling Disease Introduction as Biological Control of Invasive Predators to Preserve Endangered Prey

Original Article

Abstract

Invasive species are a significant cause of bio-diversity loss particularly in island ecosystems. It has been suggested to release pathogenic parasites as an efficient control measure of these mostly immune-naïve populations. In order to explore the potential impacts of such bio-control approach, we construct and investigate mathematical models describing disease dynamics in a host population that acts as a predator embedded in a simple food chain. The consequences of Feline Immunodeficiency Virus (FIV) introduction into a closed ecosystem are addressed using a bi-trophic system, comprising an indigenous prey (birds) and an introduced predator (cats). Our results show that FIV is unlikely to fully eradicate cats on sub-Antarctic islands, but it can be efficient in depressing their population size, allowing for the recovery of the endangered prey. Depending on the ecological setting and disease transmission mode (we consider proportionate mixing as well as mass action), successful pathogen invasion can induce population oscillations that are not possible in the disease-free predator–prey system. These fluctuations can be seen as a mixed blessing from a management point of view. On the one hand, they may increase the extinction risk of the birds. On the other hand, they provide an opportunity to eradicate cats more easily in combination with other methods such as trapping or culling.

Keywords

Eco-epidemiological model Bio-control Invasive species removal Island ecosystem restoration Seabird conservation Pathogen release Reproduction number Forward and backward Hopf bifurcations 

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Copyright information

© Society for Mathematical Biology 2009

Authors and Affiliations

  1. 1.Instituto Gulbenkian de CiênciaOeirasPortugal
  2. 2.Departamento de Biologia Animal, Faculdade de CiênciasUniversidade de LisboaLisboaPortugal
  3. 3.Centre for Mathematical Biology, Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada
  4. 4.Centro de Matemática e Aplicações FundamentaisUniversidade de LisboaLisboaPortugal
  5. 5.Department of Mathematical SciencesUniversity of BathBathUK

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