一类加权的半线性随机种群系统最优收获控制的必要条件

The necessary condition of the optimal control for a class of weighted semi-linear stochastic population system

讨论了与年龄相关的半线性随机种群系统的最优收获控制问题,其死亡率与出生率依赖于个体内在因素和外界随机干扰因素.在考虑加权规模的情况下,应用积分-偏微分方程导出控制为最优的必要条件.

Discussed the optimal control problem for a class of semi-linear stochastic population system with age, the mortality and birth rate depended on the individual internal factors and external random factors. In the case under consideration of the weighting coefficients, obtained the necessary conditions for an optimal control by intergrating- partial differential equations.