A delayed mathematical model for the dynamics of malaria with temporary immunity

摘要：

In this paper, a delayed mathematical model for the dynamics of malaria disease is constructed and investigated. We get the sufficient condition for the existence and local stability of two equilibria, the disease-free equilibrium and endemic equilibrium. And the global stability of the disease-free equilibrium is also qualitatively proved. A threshold for the time delay is obtained. If the time delay is larger than the threshold then the endemic equilibrium is unstable, which means that endemic disease cannot exist. If the time delay is less than the threshold then the endemic equilibrium is locally stable, which means that endemic disease may exist. At last, we interpret our mathematical results.

关键词： Malaria Delay Equilibrium Eigenvalue

作者: Ruiqing Shi

作者单位: College of Mathematics and Information Science,Shaanxi Normal University,Xian 710062, China;School of Mathematics and Computer Science,Shanxi Normal University,Linfen 041004, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1335-1341

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）