## Abstract A predator–prey model with transmissible disease in the prey species is proposed and analysed. The essential mathematical features are analysed with the help of equilibrium, local and global stability analyses and bifurcation theory. We find four possible equilibria. One is where the po
An ecoepidemiological model with disease in predator: the ratio-dependent case
✍ Scribed by Mainul Haque; Ezio Venturino
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 352 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.869
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✦ Synopsis
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 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 © 2007 John Wiley & Sons, Ltd.
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