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

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Published Feb 5, 2021
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Vol. 2 No. 09 (2016): Journal Nx

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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

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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How to Cite
DR.ALAKES MAITI, RITA PAUL, & DR. SHARIFUL ALAM. (2021). A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT IN THE PREY AND AN ALTERNATIVE FOOD SOURCE FOR THE PREDATOR. JournalNX - A Multidisciplinary Peer Reviewed Journal, 2(09), 22–32. Retrieved from https://repo.journalnx.com/index.php/nx/article/view/1292