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Research articles

ScienceAsia 39S(2013): 37-41 |doi: 10.2306/scienceasia1513-1874.2013.39S.037


A predator-infected prey model with harvesting of infected prey


S.A. Wuhaib*, Y. Abu Hasan

 
ABSTRACT:     In this paper, we introduce a predator-prey with susceptible and infected prey model. The model includes the harvesting of infected prey. We assume that the predator avoids the infected prey. The susceptible prey becomes infected when they are in contact with infected prey and recover to be susceptible again. We find the equilibrium points and the conditions for their existence and stability. We also show the non-existence of periodic solutions. Numerical simulations explain the effect of the parameters on the behaviour of the three classes of populations. The simulations also give the region of the solution and guarantees that all solutions of the system lie within the region.

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School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang Malaysia

* Corresponding author, E-mail: s_s18600@yahoo.com

Received 7 Jan 2013, Accepted 5 Apr 2013