| 摘要: |
| 本文研究了一类与年龄相关的随机分数阶种群动态系统.利用不动点定理、随机分析和算子半群理论,讨论了与年龄相关的随机分数阶种群系统温和解的存在性、唯一性.本文是随机整数阶种群系统的推广. |
| 关键词: 存在性 唯一性 随机分数阶种群系统 温和解 |
| DOI： |
| 分类号:O211.63 |
| 基金项目:国家自然科学基金(11461053;11261043);宁夏自然科学基金(N215104). |
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| EXISTENCE,UNIQUENESS FOR STOCHASTIC FRACTIONAL-ORDER AGE-DEPENDENT POPULATION |
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YANG Hong-fu, ZHANG Qi-min
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School of Mathematics and Information Science, Beifang University for Nationalities, Yinchuan 750021, China
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| Abstract: |
| In this paper, we study a class of stochastic fractional-order age-dependent population dynamic system. By using fixed point theorem, stochastic analysis and semigroup of operators theory, the main conclusion of the existence and uniqueness of mild solution to stochastic fractional-order age-dependent population equations are obtained. This paper is a generalization of the stochastic integer order population system. |
| Key words: existence uniqueness stochastic fractional-order population system mild solution |
