具有开发的非自治单种群生态系统研究

On the Exploitable Nonautonomous Single-species Systems

研究了具有开发的单种群非自治周期系统.利用非自治微分方程理论,以及变分法理论和泛函极值的Euler方程方法,得到了该开发系统的持续生存性,周期解存在性,全局渐近稳定性.研究了在开发情况下的最大收获量问题,以及取得最大经济效益下的收获问题等.

The paper studies expcoitable nonautonomous periodic single-species system.By applying the theory of nonautonomous differential equations,variational calculus and Euler method of functional extreme value,the persistence,existence of positive periodic solutions,global asymptotic stability are obtained.In addition,the problems of the maximam harvest and the harvest with the maximam economic benifit are studied.