A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT IN THE PREY AND AN ALTERNATIVE FOOD SOURCE FOR THE PREDATOR

Authors

  • DR.ALAKES MAITI Department of Mathematics, Vidyasagar Evening College
  • RITA PAUL Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103
  • DR. SHARIFUL ALAM Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103

Keywords:

Predator-prey, Allee effect, extinction

Abstract

In this paper, we have studied the dynamical behaviors of a predator-prey model, where the prey is subject to strong Allee effect, and the predator has an alternative food source. Positivity and boundedness of the system are discussed. Some extinction criteria are derived. Stability analysis of the equilibrium points is presented including some global results. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically.

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Published

2021-02-05

Issue

Vol. 2 No. 09 (2016): Journal Nx

Section

Articles

License

Copyright (c) 2021 DR.ALAKES MAITI, RITA PAUL, DR. SHARIFUL ALAM

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT IN THE PREY AND AN ALTERNATIVE FOOD SOURCE FOR THE PREDATOR. (2021). JournalNX - A Multidisciplinary Peer Reviewed Journal, 2(09), 22-32. https://repo.journalnx.com/index.php/nx/article/view/1292