一类受血资源影响的R-M模型的稳定性研究  

The Asymptotic Behavior of an R-M Model with the Impact of Blood Meal Resource

作　　者：张群英[1] 葛静[1,2] ZHANG Qun-ying GE Jing(College of Math Science, Yangzhou University, Yangzhou Jiangsu 225002 China College of Math Science, Huaiyin Normal University, Huai,an Jiangsu 223300 China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]淮阴师范学院数学科学学院,江苏淮安223300

出　　处：《生物数学学报》2016年第4期483-488,共6页Journal of Biomathematics

基　　金：国家自然科学基金资助项目(11501494);扬州市基础研究计划(自然科学基金)资助项目(YZ2015095);江苏省自然科学基金资助项目(BK20151305)

摘　　要：基于经典的Ross-MacDonald(R-M)疟疾模型,我们考虑了扩散以及蚊子的血资源在疟疾传播过程中的影响,利用上下解及迭代方法研究了新的R-M模型平衡点的渐近性态.理论结果和数值模拟表明,血餐资源的丰富程度是影响疟疾传播的一个重要因素.This paper considers the impact of blood meal resource for mosquitoes on the transmission of malaria based on the classical Ross-MacDonald model. The basic reproduction number for the new R-M model is provided and a dynamical analysis for the system is given using the method of upper and lower solutions and its associated iterations. Theoretical results and numerical simulations show that the abundance of blood meal resource for mosquitoes is an important factor on the transmission of malaria.

关 键 词：反应扩散方程 传染病模型 血资源 稳定性 

分 类 号：O175.26[理学—数学]