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Global stability of a discrete SEI model of infectious disease with immigration. (Chinese. English summary) Zbl 1413.39035

Summary: The nonstandard finite difference scheme is employed to study a class of SEI model of infectious disease with immigration. By constructing discrete Lyapunov function, the unique positive equilibrium is globally asymptotically stable, which is consistent with the corresponding dynamical behaviors of continuous model.

MSC:

39A60 Applications of difference equations
39A30 Stability theory for difference equations
92D30 Epidemiology
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