文章基本信息

标题：Malaria model with periodic mosquito birth and death rates
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作者：Bassidy Dembele ; Avner Friedman ; Abdul-Aziz Yakubu 等
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2009
卷号：3
期号：4
页码：430-445
DOI：10.1080/17513750802495816
出版社：Taylor & Francis
摘要：In this paper, we introduce a model of malaria, a disease that involves a complex life cycle of parasites, requiring both human and mosquito hosts. The novelty of the model is the introduction of periodic coefficients into the system of one-dimensional equations, which account for the seasonal variations (wet and dry seasons) in the mosquito birth and death rates. We define a basic reproduction number R 0 that depends on the periodic coefficients and prove that if R 0 1 then the disease is endemic and may even be periodic.
关键词：asymptotic stability ; basic reproduction number ; periodic birth and death rates