A model of predator-prey dynamics as modified by the action of a parasite.
A predator-prey population is described in which the prey population may be either a secondary host or a primary host to a parasite, but the predator is always a primary host. Those prey that have been invaded by the parasite have their behavior modified so as to make them more susceptible to predation. The model is described by a system of three autonomous ordinary differential equations. Conditions for persistence of all populations are given in the case that both populations are primary hosts. A brief discussion of the stability of the interior equilibrium is given.
Freedman
H I
HI
Department of Mathematics, University of Alberta, Edmonton, Canada.
D000818:Animals; D004463:Ecology; D006790:Host-Parasite Interactions; D008433:Mathematics; D008954:Models, Biological; D011235:Predatory Behavior