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Global stability of autonomous and nonautonomous hepatitis B virus models in patchy environment
Pengyan Liu,Hong-Xu Li
Keywords:HBV infection model, Patchy environment, Asymptotic stability, Almost periodic solution.
Abstract:
      Autonomous and nonautonomous hepatitis B virus infection models in patchy environment are investigated respectively to illustrate the influences of population migration and almost periodicity for infection rate on the spread of hepatitis B virus. The basic reproduction number is determined and asymptotic stabilities of disease-free and endemic equilibria are established in case of autonomous system. Moreover, in the nonautonomous system case, existence and global attractivity of almost periodic solution for this system are studied. Finally, feasibility of main theoretical results is showed with the aid of numerical examples for model with two patches.