Mathematical Analysis of prey-predator model

Authors

  • A. V. PapaRao JNTU -GV, College of Engineering, Viziangaram
  • G. A. L. Satyavathi JNTUK, Kakinada A.P., India
  • K. Sobhan Babu JNTUK, UCEN, A.P, India

DOI:

https://doi.org/10.37591/rrjost.v12i3.3721

Keywords:

Prey- predator, local stability, global stability, simulation, mathematical models

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.

Author Biographies

  • A. V. PapaRao, JNTU -GV, College of Engineering, Viziangaram
    Assistant Professor, Department of Mathematics
  • G. A. L. Satyavathi, JNTUK, Kakinada A.P., India
    Research scholar, Department of Mathematics
  • K. Sobhan Babu, JNTUK, UCEN, A.P, India
    Department of Mathematics

References

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Published

2023-12-22

Issue

Vol. 12 No. 3 (2023)

Section

Research Article

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