4.6 Article Proceedings Paper

An ecoepidemiological model with disease in predator: The ratio-dependent case

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 30, Issue 14, Pages 1791-1809

Publisher

WILEY
DOI: 10.1002/mma.869

Keywords

ecoepidemiology; population models; epidemic models; persistence; local stability; global stability

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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 analysed, 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 allow the general conclusion that an infection in either species, prey, or predator, may act as a biological control. Copyright (c) 2007 John Wiley & Sons, Ltd.

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