一类依赖个体尺度结构的捕食种群系统的最优收获问题  

Optimal harvesting problem for a predator-prey population system depending on individual scale structure

作　　者：郑红燕[1] 赵春[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2014年第3期1-6,共6页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(60972089);天津师范大学博士科研启动基金资助项目(5RL047)

摘　　要：研究一类依赖个体尺度结构的捕食种群系统的最优收获问题.应用不动点定理证明了系统非负解的存在唯一性,得到了解对控制变量的连续依赖性,借助切锥法锥的特征结构导出了最优性条件.The optimal harvesting problem for a class of predator-prey population system depending on individual scale structure is studied. Fixed point theorem is applied to prove the existence and uniqueness of nonnegative solution, and the continuous dependence of the solution to control variables is obtained. With the help of tangent cone method and the characteristics of the cone structure, the optimality conditions are deduced.

关 键 词：个体尺度结构 捕食系统 最优控制 法锥 

分 类 号：O175.1[理学—数学]