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《Journal of Tianjin Normal University(Natural Science Edition)》 2018-05
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Optimal harvesting analysis of a predator-prey system with prey refuge in presence of toxicity

WANG Qiongyan;ZHAO Chun;College of Mathematical Science,Tianjin Normal University;  
The optimal harvesting problem for a predator-prey system with prey refuge in the presence of toxicity is studied.By using the characteristic value of Jacobi matrix and constructing appropriate Lyapunov function,the local stability and global stability of equilibrium point of the system are proved. Moreover,the equilibrium solution of optimal harvesting is obtained by using the Pontryagin′s maximal principle.
【Fund】: 国家自然科学基金资助项目(11271104)
【CateGory Index】: O175
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