Document Type : Research Articles


1 Mathematics, government. College, Jessore ,Bangladesh

2 Department of mathematics Jahangirnagar University Savar, Dhaka, Bangladesh



Sustainable forest management is one of the warming issues in the present century. In this paper we have used the model of control theory to control the effect of toxicity and illegal logging of mature trees in the ecosystem of Sundarbans, the largest mangrove forest in the world. In this study we have briefly mentioned some of the fields in which these challenges are present. These fields especially include sustainable forestry management of ecosystem. We have considered the Modified Leslie-Grower response function to introduce as the alternative resource for industries when forestry resources are devasted. The boundedness, persistence, equilibria and stability are examined along with bionomic equilibria and optimal harvesting strategy. Our main objective in this paper is to investigate the scopes and applications of control theory in real life situation, especially in efficient and sustainable forest growth.