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Research & Reviews : Journal of Statistics

Mathematical Analysis of prey-predator model

  1. A. V. PapaRao
  2. G. A. L. Satyavathi
  3. K. Sobhan Babu

Abstract

In this paper we considered a model with a prey and predator involve holling type -II functional response. The predator species is not only dependent on prey species but also have alternative food source. The mathematical model is characterized by the couple of differential equations. The model is well posed and possess positive solutions. The system is bounded and shows the property of permeance. The possible equilibrium points are identified. At each point local stability analysis is studied. The global stability analysis is also addressed using Lyapunov’s function approach. The sufficient condition is derived to prove that the system does not admit any periodic oscillations using Bendixen-Dulac criteria. Finally, numerical simulation is performed in support of analytical results.

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