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A prey-predator model with a cover linearly varying with the prey population and an alternative food for the predator. (English) Zbl 1207.92049
Summary: The present paper is devoted to an analytical investigation of a prey-predator model with a cover linearly varying with the size of the prey to protect it from the predator, and the predator is provided with an alternative food in addition to the prey. The model is characterized by a couple of first order nonlinear ordinary differential equations. All the five equilibrium points of the model are identified and stability criteria are discussed. Further, exact solutions of perturbed equations have been derived.
MSC:
92D40 Ecology
34C60 Qualitative investigation and simulation of ordinary differential equation models
34D20 Stability of solutions to ordinary differential equations
37N25 Dynamical systems in biology
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