Global stability of an epidemic model for HIV-TB co-infection with infection-age
Global stability of an epidemic model for HIV-TB co-infection with infection-age
摘要
A nonlinear mathematical HIV TB model with infection-age is proposed in this paper. The basic reproduction numbers according to HIV and TB are respectively determined whether one of the diseases dies out or persists. The local and global stability of the disease-free and dominated equilibria are discussed by employing integral semigroup theory and Lyapunov functionals. The persistence of the system is also obtained by the persistence theories of the systems. The simulation illustrates the theoretical results.
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