Stability analysis and Neimark-Sacker bifurcation of a nonstandard finite difference scheme for Lotka-Volterra prey-predator model

R. Ahmed, A. Ahmad, N. Ali

Abstract


To discretize the Lotka-Volterra prey-predator model, we adopted a dynamically consistent nonstandard finite difference scheme. The existence of fixed points and their topological categorization are examined. It is proved using bifurcation theory that the system experiences Neimark-Sacker bifurcation. Moreover, the hybrid control method is used to control the Neimark-Sacker bifurcation. Additionally, numerical simulations are performed to show the system’s complexity and consistency with analytical results.

Full Text: PDF

Published: 2022-07-04

How to Cite this Article:

R. Ahmed, A. Ahmad, N. Ali, Stability analysis and Neimark-Sacker bifurcation of a nonstandard finite difference scheme for Lotka-Volterra prey-predator model, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 61

Copyright © 2022 R. Ahmed, A. Ahmad, N. Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

Editorial Office: office@scik.org

 

Copyright ©2022 CMBN