We propose a ratio-dependent demographic predator-prey model in which also a disease spreads among predators via homogeneous mixing. Equilibria of the system are analyzed, numerical evidence shows limit cycles to arise. The disease effects on the model are discussed. Comparisons of these findings with results of some related investigations allows the general conclusion that an infection in either species, prey or predator, may act as a biological control
An ecoepidemiological model with disease in the predator; the ratio-dependent case,
VENTURINO, Ezio
2007-01-01
Abstract
We propose a ratio-dependent demographic predator-prey model in which also a disease spreads among predators via homogeneous mixing. Equilibria of the system are analyzed, numerical evidence shows limit cycles to arise. The disease effects on the model are discussed. Comparisons of these findings with results of some related investigations allows the general conclusion that an infection in either species, prey or predator, may act as a biological control
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