| 积分差分方程给出的多种群生态模型的最优捕捞 |
| |
| 引用本文： | 陈洁珺.积分差分方程给出的多种群生态模型的最优捕捞[J].复旦学报(自然科学版),2006,45(2):230-237. |
| |
| 作者姓名： | 陈洁珺 |
| |
| 作者单位： | 复旦大学,数学研究所,上海,200433 |
| |
| 摘 要： | 考虑一个由积分差分方程组描述的多种群的最优捕捞问题.这是一个描述同时在离散时间上生长和在连续空间中扩散的系统.目标是收益最大化,讨论这个最优捕捞的存在性和必要条件.
|
| 关 键 词： | 最优控制 积分差分方程 动力系统 |
| 文章编号： | 0427-7104（2006）02-0230-08 |
| 收稿时间： | 2005-04-10 |
| 修稿时间： | 2005-04-10 |
Optimal Harvesting in Multi-species Integro-difference Model |
| |
| CHEN Jie-jun.Optimal Harvesting in Multi-species Integro-difference Model[J].Journal of Fudan University(Natural Science),2006,45(2):230-237. |
| |
| Authors: | CHEN Jie-jun |
| |
| Institution: | Institute of Mathematics, Fudan University, Shanghai 200433, China |
| |
| Abstract: | The harvest of several species that is modelled by several integro-difference equations is considered.This model is discrete in time and continuous in the space variables.The dispersal of every population is modelled by an integral of the population density against a kernel function.The control is the harvest and the goal is to maximize the profit.The optimal control is characterized by introducing an adjoint function.The existence of the optimal control under some conditions is proved. |
| |
| Keywords: | optimal control problems integro-differential equations population dynamics |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
