, Volume 27, Issue 6, pp 609-631

Predator-prey populations with parasitic infection

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Abstract

A predator-prey model, where both species are subjected to parasitism, is developed and analyzed. For the case where there is coexistence of the predator with the uninfected prey, an epidemic threshold theorem is proved. It is shown that in the case where the uninfected predator cannot survive only on uninfected prey, the parasitization could lead to persistence of the predator provided a certain threshold of transmission is surpassed.

Support by the Central Research Fund of the University of Alberta is gratefully acknowledged
Research partially supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERC A4823