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Volume 18,     Number 2,     Summer 2010

 

A PREY-PREDATOR MODEL WITH
ALTERNATIVE PREY: MATHEMATICAL
MODEL AND ANALYSIS
T. K. KAR, KUNAL CHAKRABORTY AND U. K. PAHARI

Abstract. This paper describes a prey predator model with type II functional response where harvesting of each species is taken into consideration. Discrete type gestational delay of predators is incorporated and its effect on the dynamical behaviour of the model system is analyzed. It is shown that harvesting efforts may be used to control the prey predator system considered. We have also studied the Hopf bifurcation of the model system in the neighbourhood of the co-existing equilibrium point considering delay as a variable bifurcation parameter. Numerical simulations are given to verify the analytical results.

 

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