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  4. Study of two species prey–predator model in imprecise environment with harvesting scenario

Study of two species prey–predator model in imprecise environment with harvesting scenario

MMC.
2022;
Volume 9, Number 2
: pp. 385–398
https://doi.org/10.23939/mmc2022.02.385
Received: October 07, 2021
Accepted: February 07, 2022

Mathematical Modeling and Computing, Vol. 9, No. 2, pp. 385–398 (2022)

Authors:
  1. T. Vijayalakshmi
  2. R. Senthamarai
1
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology
2
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology

This study proposes and explores a prey–predator model that presents a functional response to group behavior of prey–predator harvesting.  We study a non-linear model of prey–predator growths in two species.  The proposed model is supported by theoretical and numerical results.  Some numerical descriptions are provided to help our analytical and theoretical conclusions.  For all possible parameter values occurring in a prey–predator system, we solved it by using both VIM (variational iteration method) and HPM (homotopy perturbation method).  We also used MATLAB coding to compare our approximate analytical expressions with numerical simulations.  We have found that there is no significant difference when comparing analytical and numerical results.

mathematical modeling
harvested prey–predator
precise value
numerical simulation
variational iteration method
homotopy perturbation method
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