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| 具扩散与年龄结构的三种群捕食与被捕食系统的最优收获 | |
| 引用本文： | 顾建军,卢殿臣,王晓明.具扩散与年龄结构的三种群捕食与被捕食系统的最优收获[J].数学的实践与认识,2008,38(22). |
| 作者姓名： | 顾建军 卢殿臣 王晓明 |
| 作者单位： | 1. 常熟理工学院,教学系,江苏,常熟,215500 2. 江苏大学,非线性科学研究中心,江苏,镇江,212013 3. 无锡工艺职业技术学院,基础部,江苏,宜兴,214206 |
| 基金项目： | 国家自然科学基金 ， 江苏省自然科学基金 |
| 摘 要： | 研究了一类具有空间扩散和年龄结构的三种群捕食与被捕食系统的最优收获问题,运用Banach不动点原理讨论了系统解的存在唯一性,证明了最优收获控制的存在性,给出了最大值原理.结果可为多种群扩散系统最优控制问题的实际研究提供理论基础. |
| 关 键 词： | 种群系统 空间扩散 最优收获 极值原理 |
Optimal Harvesting for Predator-prey System of Three Species with Spatial-diffusion and Age-structure |
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| GU Jian-jun,LU Dian-chen,WANG Xiao-ming.Optimal Harvesting for Predator-prey System of Three Species with Spatial-diffusion and Age-structure[J].Mathematics in Practice and Theory,2008,38(22). | |
| Authors: | GU Jian-jun LU Dian-chen WANG Xiao-ming |
| Institution: | 1.Dept of Mathematics;Changshu Institute of Technology;Changshu 215500;China;2.Center of Nonlinear Science Research;Jiangsu University;Zhenjiang Jiangsu 212013;China;3.Dept of Basic Courses;Wuxi Institute of Arts & Technology;Yixing 214206;China |
| Abstract: | We investigate optimal harvesting problem for three age-dependent population with spatial diffusion in a predator-prey system,Both existence and uniqueness of a positive solution are proven via Banach fixed point theorem.Existence of the optimal harvesting rate control and maximum principles for problems are obtained.The results may provide a strict theoretical basis for practical research of multi-species system with diffusion in optimal control problem. |
| Keywords: | population dynamics spatial diffusion optimal harvesting maximum principle |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |