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
