An age-structured vector-borne disease model with horizontal transmission in the host
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Published on: September 14, 2021
1College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, Henan, China.
Abstract:
We concern with a vector-borne disease model with horizontal transmission and infection age in the host population. With the approach of Lyapunov functionals, we establish a threshold dynamics, which is completely determined by the basic reproduction number. Roughly speaking, if the basic reproduction number is less than one then the infection-free equilibrium is globally asymptotically stable while if the basic reproduction number is larger than one then the infected equilibrium attracts all solutions with initial infection. These theoretical results are illustrated with numerical simulations.
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