中文摘要：

讨论了一类在环境污染下与年龄相关的模糊随机种群系统,该系统不仅考虑了环境污染、外界环境噪声对种群的影响,而且设初值是一个模糊数.在有界和Lipschitz条件下,运用Ito公式和Gronwall引理,给出了环境污染下与年龄相关模糊随机种群系统指数稳定性的判定准则.并通过数值算例对所给结论进行了验证.

英文摘要：

This paper presents an investigation of a fuzzy stochastic age-structure model in a polluted environment.Both the fuzziness of the initial condition,polluted environment and the stochastic disturbance of the environment are incorporated into the model.By using the Ito formula and Gronwall lemma,the exponential stability of the model is proved under linear growth condition and Lipschitz condition.Finally,we give a stochastic fuzzy age-structured population equation example to illustrate our exponential stability.