摘要
在竞争关系的生态模型基础上,通过引入周期性参数形成一个竞争的二维周期系统.对此非自治生态系统,利用比较定理探讨了系统的持续存在性;由Brouwer不动点定理及稳定性理论证明了其周期解的唯一存在性;最后,讨论了相应的最优控制问题,并给出了问题的最优收获策略Eopt(t).
Based on a class of two competitive species model, a competitive system with periodic coefficients is considered. As for non-autonomous ecological system. Firstly, we discussed the＇ permanence of the system by using comparison theory. Then, via the Brouwer fixed point theorem and the stability theory, we also showed the existence and uniqueness of the pcriodic solution of the system and the global asymptotic stability of the solution. Finally, a optimal control problem corresponding to this periodic system was considered. By applying the optimal control theory, the optimal harvesting policy Eopt（t） for above problem was obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第22期109-116,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(604730304)
兰州交通大学‘青蓝’人才工程基金资助计划资助(QL-05-18A)
