一类污染环境下具有扩散和年龄结构的随机单种群系统分析

Analysis of a stochastic single population system with age-dependent and diffusion in a polluted environment

建立并研究了一类污染环境下具有扩散和年龄结构的随机单种群动力系统,在Hilbert空间中,通过应用It^o公式证明了随机种群系统强解的存在唯一性。加入毒素对种群的影响,推广了一般的具有年龄结构和扩散的随机生物种群模型。

A new stochastic single population system with age-dependent and diffusion in a polluted environment is formulated and investigated.The existence and uniqueness of the solution of this stochastic system is obtained via It^os formula in Hilbert space.The general stochastic biological population model with age structure and diffusion is extended by adding toxicant to the population.