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Discrete Models of Disease and Competition

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  • R. Bravo de la Parra
  • M. Marvá
  • E. Sánchez
  • L. Sanz

Abstract

The aim of this work is to analyze the influence of the fast development of a disease on competition dynamics. To this end we present two discrete time ecoepidemic models. The first one corresponds to the case of one parasite affecting demography and intraspecific competition in a single host, whereas the second one contemplates the more complex case of competition between two different species, one of which is infected by the parasite. We carry out a complete mathematical analysis of the asymptotic behavior of the solutions of the corresponding systems of difference equations and derive interesting ecological information about the influence of a disease in competition dynamics. This includes an assessment of the impact of the disease on the equilibrium population of both species as well as some counterintuitive behaviors in which although we would expect the outbreak of the disease to negatively affect the infected species, the contrary happens.

Suggested Citation

  • R. Bravo de la Parra & M. Marvá & E. Sánchez & L. Sanz, 2017. "Discrete Models of Disease and Competition," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-13, September.
    • Handle: RePEc:hin:jnddns:5310837
    DOI: 10.1155/2017/5310837
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    Cited by:

    1. Castillo-Alvino, Hamlet Humberto & Marvá, Marcos, 2022. "Group defense promotes coexistence in interference competition: The Holling type IV competitive response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 426-445.

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