SPATIAL INVASION THRESHOLD OF LYME DISEASE

被引：31

作者：

Wang, Wendi ^{[1
]}

Zhao, Xiao-Qiang ^{[2
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Key Lab Ecoenvironm Gorges Reservoir Reg 3, Chongqing 400715, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2015年 / 75卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

principal eigenvalues; threshold dynamics; spatial heterogeneity; reproduction number; disease control; IXODES-SCAPULARIS ACARI; POPULATION-DYNAMICS; INFECTION TRANSMISSION; REPRODUCTION NUMBERS; DIFFUSION-MODEL; PERSISTENCE; HETEROGENEITY; IXODIDAE; VECTOR; VIRUS;

D O I：

10.1137/140981769

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mathematical model of Lyme disease is formulated to incorporate a spatially heterogenous structure. The basic reproduction number R-0 of the disease and its computational formulae are established. It is shown that R-0 serves as a threshold value between extinction and persistence in the evolution of Lyme disease. Numerical simulations indicate that spatial heterogeneity of the disease transmission coefficient increases the basic reproduction number, but spatial heterogeneity of the carrying capacity of mice alleviates the value of R-0. Moreover, the influence of host population in size, destruction of tick habitats, and deployment of vaccinations is studied to give insights into optimal control of the disease.

引用

页码：1142 / 1170

页数：29

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