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A Host-Host-Pathogen Model with Vaccination and its Application to Target and Reservoir Hosts

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  • R. Norman
  • R. G. Bowers

Abstract

A simple theoretical framework is presented that addresses the question of how different vaccination strategies work against a pathogen which infects two species. This is first studied in purely theoretical terms to determine which equilibria will be stable for which parameter combinations. Two special cases are then presented, and the asymptotic population dynamical consequences of differing vaccination strategies are determined. In particular systems are described for which there is a wildlife host reservoir and a domestic (target) host. It is found that when the target host cannot maintain the disease alone, and the presence of the reservoir causes the target host to be eradicated by the disease, vaccinating the target species allows coexistence of the two species with the pathogen, but will not allow disease eradication. It is then shown that this result also holds when a proportion of the population is vaccinated at birth.

Suggested Citation

  • R. Norman & R. G. Bowers, 2007. "A Host-Host-Pathogen Model with Vaccination and its Application to Target and Reservoir Hosts," Mathematical Population Studies, Taylor & Francis Journals, vol. 14(1), pages 31-56.
    • Handle: RePEc:taf:mpopst:v:14:y:2007:i:1:p:31-56
    DOI: 10.1080/08898480601090667
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    Cited by:

    1. Norberto Aníbal Maidana & Hyun Mo Yang, 2013. "How Do Bird Migrations Propagate the West Nile virus," Mathematical Population Studies, Taylor & Francis Journals, vol. 20(4), pages 192-207, October.

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