STUDY ON HARVESTED POPULATION WITH DIFFUSIONAL MIGRATION

作     者：FAN Meng WANG Ke (Deportment of Mathematics, Northeast Normal University, Changchun 130024, China) ZHANG Yujuan ZHANG Shuwen LIU Huimin (Department of Mathematics, Anshan Teacher’s College, Anshan 114005, China) FAN Meng WANG Ke (Deportment of Mathematics, Northeast Normal University, Changchun 130024, China) ZHANG Yujuan ZHANG Shuwen LIU Huimin (Department of Mathematics, Anshan Teacher’s College, Anshan 114005, China)

作者机构：东北师范大学 吉林 长春 130024 鞍山师范学院 辽宁 鞍山 114005 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2001年第14卷第2期

页      面：139-148页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This research is supported by the National Natural Science Foundation of China(No. 19871012) 

主　　题：Protective patch diffusional migration harvest. 

摘      要：This paper is devoted to the study of the dynamical behavior and harvesting problem of an exploited population with diffusional migration, for which a protective patch is established. We examine the effects of protective patch and harvest on the population resources and conclude that the protective patch is effective for the conservation of population resources and ecological environment, though in some cases the extinction can not be eliminated. The dangerous region, the parameters domains and the typical bifurcation curves of stability of steady states for the considered system are determined. The optimal harvest policy for the considered population is made also. The explicit expressions are obtained for the optimal harvesting effort, the maximum sustainable yield and the corre- sponding population density. Our results provide a theoretical evidence for the practical management of biological resources.