Modelling the dynamics of West Nile Virus

被引：119

作者：

Cruz-Pacheco, G

Esteva, L

Montano-Hirose, JA

Vargas, C

机构：

[1] CINVESTAV, IPN, Dept Automat Control, Mexico City, DF, Mexico

[2] Univ Nacl Autonoma Mexico, IIMAS, Mexico City 04510, DF, Mexico

[3] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico

[4] UAEH, Inst Ciencias Agropecuarias, Bangi 43600, Malaysia

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 2005年 / 67卷 / 06期

关键词：

D O I：

10.1016/j.bulm.2004.11.008

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work we formulate and analyze a mathematical model for the transmission of West Nile Virus (WNV) infection between vector (mosquito) and avian population. We find the Basic Reproductive Number R-0 in terms of measurable epidemiological and demographic parameters. R-0 is the threshold condition that determines the dynamics of WNV infection: if R-0 < 1 the disease fades out, and for R-0 > 1 the disease remains endemic. Using experimental and field data we estimate R-0 for several species of birds. Numerical simulations of the temporal course of the infected bird proportion show damped oscillations approaching the endemic value. (c) 2005 Society for Mathematical Biology. Published by Elsevier Ltd. All rights reserved.

引用

页码：1157 / 1172

页数：16

共 22 条

[1] VERTICAL TRANSMISSION OF WEST NILE VIRUS BY CULEX AND AEDES SPECIES MOSQUITOS [J].