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Predator–prey harvesting model with fatal disease in prey
Authors:Qamar J A Khan  Mohamed Al‐Lawatia  Fatma A Al‐Kharousi
Affiliation:Department of Mathematics and Statistics, Sultan Qaboos University, Al‐Khoud, Oman
Abstract:A theoretical eco‐epidemiological model of a prey–predator interaction system with disease in prey species is studied. Predator consumes both susceptible and infected prey population, but predator also feeds preferentially on many numerous species, which are over represented in the predator's diet. Equilibrium points of the system are determined, and the dynamic behaviour of the system is investigated around equilibrium points. Death rate of predator species is considered as a bifurcation parameter to examine the occurrence of Hopf bifurcation in the neighbourhood of the coexisting equilibria. Numerical simulations are carried out to support the analytical results. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:prey  predator  stability  bifurcation  optimal harvesting
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