Age-dependency in host-vector models: The global analysis

نویسندگان

  • Cruz Vargas de León
  • Lourdes Esteva
  • Andrei Korobeinikov
چکیده

In this paper, we introduce and analyze two structured models for the transmission of a vector-borne infectious disease. The first of these models assumes that the level of contagiousness and the rate of removal (recovery) of infected individuals depends on the infection age. In the second model the hosts population is structured with respect to the physical age of the hosts, and the susceptibility of the hosts is assumed to be age-dependent. For these models, the threshold parameter for the existence of a positive (endemic) equilibrium state is determined, and the global asymptotic stability of the equilibrium states are established by the Lyapunov’s direct method.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 243  شماره 

صفحات  -

تاریخ انتشار 2014