Journal of Applied Nonlinear Dynamics
Effect of Poaching on TigerDeer interaction Model with RatioDependent Functional Response in the Sundarbans Ecosystem
Journal of Applied Nonlinear Dynamics 9(3) (2020) 415425  DOI:10.5890/JAND.2020.09.006
Md. Nazmul Hasan$^{1}$, Md. Sharif Uddin$^{1}$, Md. Haider Ali Biswas$^{2}$
$^{1}$ Department of Mathematics, Jahangirnagar University, Saver, Dhaka, Bangladesh
$^{2}$ Mathematics Discipline, khulna University, Khulna, Bangladesh
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Abstract
Some of the biological species like tiger, deer and monkeys in Sundarbans, the largest mangrove forest in the world have been driven to extinction due to several external forces such as illegal poaching, over exploitation, predation, environmental pollution and mismanagement of habitat.This paper deals with a ratiodependent predatorprey model with prey refuge and illegal harvesting of both species.The boundedness of solution, feasibility of interior equilibria have been determined. Optimal control technique has been applied to investigate antipoaching patrol strategy for controlling the threat in the predator prey system facing in Sundarbans. The system is also ex amined so that the better control strategy is achieved. Moreover, the control strategy is obtained on the effect of variation of prey refuge.
Acknowledgments
The first author gratefully acknowledges the financial support provided by the University Grant Commission, Bangladesh (UGC/1,157/ M.Phil and PhD/2016/5343, Date: 22/06/2016).
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