中文摘要：

讨论了一类与年龄相关的模糊随机种群扩散系统，该系统受随机和模糊两种不确定性因素的影响．在有界的条件（弱于线性增长条件）和Lipschitz条件下，利用Ito公式和Bellman-Gronwall—Type引理，建立了均方意义下与年龄相关的模糊随机种群扩散系统均方散逸性的判定准则．并通过数值例子对所给出的结论进行了验证．

英文摘要：

In this paper, we introduce a class of stochastic fuzzy age-structured popula- tion system with diffusion.Where the phenomena is subjected to two kinds of uncertainties：stochastic and fuzziness, Simultaneously. Under linear growth condition and Lipschitz condition, and by means of Ito formula and Gronwall-type lemma, some criterion are established for exponential stability of stochastic fuzzy age-structured population system with diffusion in the mean square. Finally, we give a stochastic fuzzy age-dependent population equation example to illustrate our Mean-square dissipativity.