Effect of Toxicant and Predator Harvesting on a Predator-prey Model with Modified Leslie-Gower | JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences

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Published: Sep 28, 2022

Keywords:

Harvesting, Leslie-Gower model, Permanence, Stability analysis, Toxicant

Mediya Bawakhan Mrakhan

Collage of Science, Department of Chemistry, University of Garmian, kalar, Sulaimani, Iraq

Shilan Fahmi Amin

College of Education, Department of Mathematics, University of Sulaimani, Sulaimani, Iraq

Arkan Nawzad Mustafa

College of Education, Department of Mathematics, University of Sulaimani, Sulaimani, Iraq

Abstract

In this paper, the effect of pollutant in environment on prey and predator species and predator harvesting is modeled using modified Leslie-Gower and nonlinear harvesting rate. Positivity and bounded of solution are proved, conditions which make the model permanent is determined, existence and locally asymptotically stable for each of possibly equilibrium point is studied, numerical solution of proposed model is done to show the effect and to confirm the analytical result.

How to Cite

[1]

“Effect of Toxicant and Predator Harvesting on a Predator-prey Model with Modified Leslie-Gower ”, JUBPAS, vol. 30, no. 3, pp. 76–91, Sep. 2022, Accessed: Jan. 14, 2025. [Online]. Available: https://www.journalofbabylon.com/index.php/JUBPAS/article/view/4294

Issue

Vol 30 No 3 (2022)

Section

Articles

Creative Commons License

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

How to Cite

[1]

“Effect of Toxicant and Predator Harvesting on a Predator-prey Model with Modified Leslie-Gower ”, JUBPAS, vol. 30, no. 3, pp. 76–91, Sep. 2022, Accessed: Jan. 14, 2025. [Online]. Available: https://www.journalofbabylon.com/index.php/JUBPAS/article/view/4294

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