An eco-epidemiological predator–prey model where predators distinguish between susceptible and infected prey
Corresponding Author
David Greenhalgh
Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK
Correspondence to: David Greenhalgh, Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK.
E-mail: [email protected]
Search for more papers by this authorQamar J. A. Khan
Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, Muscat, Oman
Search for more papers by this authorJoseph S. Pettigrew
Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK
Search for more papers by this authorCorresponding Author
David Greenhalgh
Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK
Correspondence to: David Greenhalgh, Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK.
E-mail: [email protected]
Search for more papers by this authorQamar J. A. Khan
Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, Muscat, Oman
Search for more papers by this authorJoseph S. Pettigrew
Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK
Search for more papers by this authorAbstract
A predator–prey model with disease amongst the prey and ratio-dependent functional response for both infected and susceptible prey is proposed and its features analysed. This work is based on previous mathematical models to analyse the important ecosystem of the Salton Sea in Southern California and New Mexico where birds (particularly pelicans) prey on fish (particularly tilapia). The dynamics of the system around each of the ecologically meaningful equilibria are presented. Natural disease control is considered before studying the impact of the disease in the absence of predators and the interaction of predators and healthy prey and the disease effects on predators in the absence of healthy prey. Our theoretical results are confirmed by numerical simulation. Copyright © 2016 John Wiley & Sons, Ltd.
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