摘要
讨论了一类与年龄相关的模糊随机种群扩散系统,系统受两种不确定性因素的影响,即随机和模糊.在有界和Lipschitz条件下,利用Ito公式和Gronwall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指数稳定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.
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 condi- tion, 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-dependeat population equation example to illustrate our exponential stability.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第7期187-195,共9页
Mathematics in Practice and Theory
基金
宁夏回族自治区自然科学基金(NZ12127)
