【摘要】 本文讨论了一类时变种群扩散系统最优生育率控制的非线性问题,证明了最优生育率控制的存在性,给出了控制为最优的必要条件及其最优性组.本结果可为种群扩散系统最优控制问题的实际研究提供物理论基础.更多还原

【Abstract】 This paper discusses a non-linear problem of the fertility rate control for a class of time-varying population system with diffusion, proves the existence of the optimal fertility rate control, gives the necessary condition for a control to be optimal and its optimality system. These results provide a theretical basis for the pratical study of the optimal control problem in time-varying population system with diffusion.更多还原