摘要
研究了具有非线性捕获的杂食性随机Lotka-Volterrav模型,在较弱的条件下证明了解的存在唯一性,通过构造适当的Lyapuno函数,得到了随机模型周期解存在的充分条件,通过数值模拟验证了本文所得到的结论。结果表明,具有非线性捕获的杂食性随机Lotka-Volterra模型存在周期解。
The stochastic omnivory Lotka-Volterra models with nonlinear predator harvesting are investigated in this paper.Firstly,the existence and uniqueness of the solution are proved under weaker conditions.Then,the sufficient conditions for the existence of periodic solutions of the stochastic model are obtained by constructing an appropriate Lyapunov function.Finally,numerical simulations verify the obtained theoretical results.The results show the existence of periodic solution for omnivory stochastic Lotka-Volterra models with nonlinear harvesting.
出处
《中国科技论文》
北大核心
2017年第17期2022-2026,共5页
China Sciencepaper
基金
国家自然科学基金资助项目(11361044)
宁夏自治区软科学计划项目(20151003)
宁夏大学研究生创新项目(GIP2017047)
