一个部分退化反应扩散霍乱模型的阈值动力学  

Threshold Dynamics of a Partially DegeneratedReaction-Diffusion Cholera Model

作　　者：何杰 褚慧洁 HE Jie;CHU Huijie(School of Mathematics and Statistics,Xidian University,Xi’an 710126,China)

机构地区：[1]西安电子科技大学数学与统计学院,西安710126

出　　处：《吉林大学学报（理学版）》2023年第4期831-839,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11971369)。

摘　　要：针对人的扩散、空间异质性和处于静态水源环境中不同浓度的弧菌对霍乱传播的影响,建立一个部分退化的反应扩散霍乱模型.先定义模型的基本再生数R_(0),表明R_(0)-1的符号决定模型的全局阈值动力学;然后通过数值模拟实验讨论模型关键参数对R_(0)的影响,结果表明适度的城市化有利于对疾病的控制.In order to study the effects of human to human diffusion,spatial heterogeneity and different concentrations of Vibrio in static water source environment on cholera t ransmission,we established a partially degenerated reaction-diffusion cholera model.Firstly,we defined the basic reproduction number R_(0) of the model.Secondly,the global threshold dynamics of the model was determined by the sign of R_(0)-1.Finally,we discussed the effects of key mode l parameters on R_(0) through numerical simulation experiments.The results show that moderate urbanization is beneficial to disease control.

关 键 词：霍乱弧菌 空间异质性 基本再生数 全局阈值动力学 

分 类 号：O29[理学—应用数学]