Optimal control of a diffusive eco-epidemiological predator-prey model  

作　　者：Xuebing Zhang Guanglan Wang Honglan Zhu 

机构地区：[1]College of Mathematics and Statistics Nanjing University of Information Science and Technology Nanjing 210044,P.R.China [2]College of Continuing Education Nanjing University of Aeronautics and Astronautics Nanjing 210016,P.R.China [3]Business School,Huaiyin Institute of Technology Huaian 223001,P.R.China

出　　处：《International Journal of Biomathematics》2020年第7期183-204,共22页生物数学学报（英文版）

基　　金：supported by the National Science Foundation of China under Grants 11926357;also supported by the Startup Foundation for Introducing Talent of NUIST.

摘　　要：In this study,we investigate the optimal control problem for a diffusion eco-epidemiological predator-prey model.We applied two controllers to this model.One is the separation control,which separates the uninfected prey from the infected prey population,and the other is used as a treatment control to decrease the mortality caused by the disease.Then,we propose an optimal problem to minimize the infected prey population at the final time and the cost cause by the controls.To do this,by the operator semigroup theory we prove the existence of the solution to the controlled system.Furthermore,we prove the existence of the optimal controls and obtain the first-order necessary optimality condition for the optimal controls.Finally,some numerical simula-tions are carried out to support the theoretical results.

关 键 词：DIFFUSION optimal control PREDATOR-PREY 

分 类 号：O17[理学—数学]