Global Stability Analysis and Optimal Taxation Control for a Harvested Prey Predator System with Prey Refuge
In this paper,we investigate a prey predator model system with selective harvest effort on predator,where prey refuge is considered and taxation is utilized as a control instrument to protect the population from overexploitation.Conditions which influence positiveness and boundedness of solutions of model system are studied.Local stability analysis around all equilibria of model system are discussed due to variation of prey refuge and taxation.Furthermore,global stability of model system around the positive equilibrium is investigated based on Bendixson criterion.By using Pontryagins maximum principle,an optimal taxation control is derived to ensure the sustainable development of biological resource and prosperous commercial harvesting.
harvest effort prey refuge optimal taxation control
Chao Liu Jingmei Guo
Institute of Systems Science,Northeastern University,Shenyang,110004,China Institute of Systems Engineering,Northeastern University,Shenyang,110004,China
国际会议
长沙
英文
4483-4486
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）