两阶段生物毒素系统的最优捕捞政策  

Optimal harvesting policy for biologic toxin system with stage structure

作　　者：陈晓锋[1] 张敏华[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2011年第6期797-801,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：福州大学博士启动基金资助项目(022337)

摘　　要：在具有毒素影响的环境中,考虑生物系统的分阶段动态行为,建立两阶段生物毒素系统模型,分析种群捕捞方程解的局部均衡和全局稳定性,得到最优捕捞的努力程度、可持续产量和相应的种群水平,并分析毒素水平对捕捞政策的影响.With the toxins in the environment,we consider the dynamic behavior of biological systems in stages.We analyze the optimal harvesting policy for biologic toxin system.The local and global geometric properties of nonnegative equilibria of harvesting population equation are given.Explicit expressions are obtained for the optimal harvesting effort,the sustainable yield,and the corresponding population.The effect of the level of toxins in the fishing policy is considered.

关 键 词：两阶段 生物毒素系统 最优捕捞政策 持久 灭绝 

分 类 号：O29[理学—应用数学]