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The periodic solution of a class of epidemic models. (English) Zbl 0939.92031

Summary: This paper has completely studied the dynamical properties of a class of epidemiological models, obtained necessary and sufficient conditions for a unique periodic solution which is asymptotically orbitally stable, and necessary and sufficient conditions for the global asymptotic stability of the positive equilibrium.

MSC:

92D30 Epidemiology
34C25 Periodic solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
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References:

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