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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Effect of Poaching on Tiger-Deer interaction Model with Ratio-Dependent Functional Response in the Sundarbans Ecosystem

Journal of Applied Nonlinear Dynamics 9(3) (2020) 415--425 | 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 ratio-dependent predator-prey 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 anti-poaching 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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