A Malaria Model with Two Delays

被引：15
作者：
Wan, Hui [1 ]
Cui, Jing-an [2 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210046, Jiangsu, Peoples R China
[2] Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 100044, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷
关键词：
EPIDEMIC MODEL; TRANSMISSION; BIFURCATIONS;
D O I：
10.1155/2013/601265
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A transmission model of malaria with two delays is formulated. We calculate the basic reproduction number R-0 for the model. It is shown that the basic reproduction number is a decreasing function of two time delays. The existence of the equilibria is studied. Our results suggest that the model undergoes a backward bifurcation, which implies that bringing the basic reproduction number below 1 is not enough to eradicate malaria.
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页数：8
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