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中文摘要：
在假设随机的外界环境对系统产生扰动的条件下，给出Hilbert空间中一类带扩散随机时变种群发展系统．利用Burkholder-Davis-Gundy不等式，Gronwall引理和Kolrnogorov不等式，讨论了该系统解的存在性和惟一性，并通过例子对所得结论进行了说明．
英文摘要：
For a population dynamics system, the influences of the stochastic external environment upon the system are not considered in ordinary age-dependent system models. When the system is perturbed by a random external environment, a class of stochastic age-dependent population dynanlics system with diffusion was proposed. The existence and uniqueness of solution to a stochastic age-dependent population dynamics system with diffusion were discussed in Hilbert space by using the Burkholder-Davis- Gundy inequality, Gronwall lemma and Klmogrorov inequality. The result was illustrated by a specific example.
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