A mathematical model for endemic malaria with variable human and mosquito populations

被引：180

作者：

Ngwa, GA ^{[1
]}

Shu, WS

机构：

[1] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy

[2] Univ Essex, Dept Comp Sci, Colchester CO4 3SQ, Essex, England

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2000年 / 32卷 / 7-8期

关键词：

endemic equilibrium; threshold parameter;

D O I：

10.1016/S0895-7177(00)00169-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A deterministic differential equation model for endemic malaria involving variable human and mosquito populations is analysed. Conditions are derived for the existence of endemic and disease-free equilibria. A threshold parameter (R) over tilde (0) exists and the disease can persist if and only if (R) over tilde (0) exceeds 1. The disease-free equilibrium always exist and is globally stable when (R) over tilde (0) is below 1. Numerical simulations show that the endemic equilibrium, when it exists, is unique and is globally stable. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：747 / 763

页数：17

共 44 条

[21] A model for predicting the transmission rate of malaria from serological data [J].