Abstract

Due to the differences in viability, behaviour and immunity of hosts and vectors of different biological ages, and the prevalence of asymptomatic infected individuals, a vector–host infectious disease model with biological age and asymptomatic infections is proposed. The exact expression of the basic reproduction number R 0 is derived. Further, we prove that the disease-free steady state is globally asymptotically stable if R 0 < 1 , in this case, the disease does not depend on the initial value and always dies out. Further, if R 0 > 1 , model admits a unique endemic steady state which is local asymptotical stable under some conditions. Finally, the theoretical results are explained by some numerical simulations. Numerical simulations also show that the duration of asymptomatic infections has an important impact on the number of confirmed cases, and a long duration can significantly reduce the number of confirmed cases. The rational use of asymptomatic infections has a positive effect on the response to the transmission of vector-borne diseases.

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