具有河流区域的蚊虫传播动力学分析  

Dynamics analysis of mosquito transmission in the area containing river

作　　者：许瑶 凌智[1] XU Yao;LING Zhi(School of Mathematical Science,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《扬州大学学报（自然科学版）》2021年第1期5-10,共6页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11571301)。

摘　　要：运用含有非局部项的River-Field反应扩散方程组,刻画含有河流区域内的蚊虫动力学模型.通过建立新的比较原理,采用构造单调序列的上下解方法,证明了解的存在唯一性,并给出了正平衡解全局渐近稳定的充分条件,通过扩散初期动态行为的数值模拟验证了所得的结论.The River-Field reaction-diffusion equations with nonlocal term are firstly proposed to describe the dynamics model of mosquitoes in the area containing river.A new comparison principle is established and the upper and lower solutions of monotone sequences are constructed to prove the existence and uniqueness of the solution.The sufficient conditions are further derived under which the equilibrium solution is globally asymptotically stable,and the conclusions are also verified by numerical simulation of the dynamic behavior at the initial stage of diffusion.

关 键 词：非局部反应 River-Field种群模型 存在唯一性 长时间行为 

分 类 号：O175.26[理学—数学]