Article ID Journal Published Year Pages File Type
4499117 Journal of Theoretical Biology 2007 16 Pages PDF
Abstract

In this paper, we have proposed and analyzed a mathematical model of an infected predator–prey system with different predators’ functional response. The existence and uniqueness of solutions are established and solutions are shown to be uniformly bounded for all nonnegative initial values. Our overall mathematical and biological studies reveal that if the prey population is infected by a lethal disease, coexistence of all three species (i.e. host, parasite and predator) for any of three functional responses is never possible but different interesting dynamical behaviors are possible by varying two key parameters viz. the rate of infection and the attack rate on susceptible prey. Interplay between these two factors yields a diverse array of biologically relevant behavior, including switching of stability, extinction and oscillations.

Related Topics
Life Sciences Agricultural and Biological Sciences Agricultural and Biological Sciences (General)
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