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

Mainul Haque; Ezio Venturino

doi:10.1002/mma.869

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

Mainul Haque
, Ezio Venturino

School of Mathematics & Physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1791-1809
Journal	Mathematical Methods in the Applied Sciences
Volume	30
Issue number	14
Early online date	30 Mar 2007
DOIs	https://doi.org/10.1002/mma.869
Publication status	Published - 25 Sept 2007

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 2 Zero Hunger
SDG 3 Good Health and Well-being
SDG 15 Life on Land

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10.1002/mma.869

http://doi.wiley.com/10.1002/mma.869

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

Abstract

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