次线性框架下受随机扰动的非自治食饵模型相关问题
Related Problems of Non-Autonomous Predator-Prey Model with Stochastic Disturbance under Sublinear Framework
摘要: 在本文，我们考虑次线性空间下的二种群随机食饵模型。研究模型中全局正解的存在性、有界性以及系统的稳定性。在相关定理的推导中，将会引用到G-布朗运功的许多基本性质和结论，大部分与经典布朗运动相似。全文的讨论都建立在满足局部Lipschitz气牛的前提下。
Abstract: In this paper, we consider the two-species stochastic predator-prey model under sub- linear space. We investigate the existence of global positive solution, boundedness of solution and the stability of system. To obtain the related theorem, some basic knowledge and properties of G-Brownian motion will be cited which are similar to classical Brown motion actually. And all the discussions are under the locally Lips- chitz condition.
文章引用：许晶晶, 郭睿, 闫理坦. 次线性框架下受随机扰动的非自治食饵模型相关问题[J]. 应用数学进展, 2020, 9(10): 1847-1864. https://doi.org/10.12677/AAM.2020.910214

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