Optimal control of forest evolution system in polluted environment

CAO Xue-jing, LUO Zhi-xue

1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
• Received:2017-11-14 Online:2018-07-20 Published:2018-07-03

Abstract: The optimal control problem of a forest evolution system in polluted environment was discussed. Firstly, the model was proposed and the existence and uniqueness of the solution were proved by Banach fixed point theorem. Then, the unique solution of the optimal control is obtained according to the properties of convex functional and Mazur lemma.

CLC Number:

• O175.1
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