中文摘要：

文章在更一般的条件下讨论一类与年龄相关的人口随机系统.在方程系数所满足的非Lipschitz条件还含有与时间相关系数的条件下，通过一系列逼近方程证明了系统的强解的存在唯一性.证明过程中主要应用了随机泛函方程的理论，Bihari不等式和Burkholder-Davis-Gundy’s不等式.

英文摘要：

A class of stochastic age-dependent population dynamic system is discussed in a general case. By successive approximations of solutions in a general functional setting, the existence and uniqueness of solution for stochastic age-dependent population dynamic system are proved under non-Lipschitz condition, which depends on time. The main tools are the theory of stochastic functional differential equation, the Bihari inequality and the Burkholder-Davis-Gundy＇s inequality.