EXTINCTION AND PERMANENCE OF A GENERAL NON-AUTONOMOUS DISCRETE-TIME SIRS EPIDEMIC MODEL

Extinction and permanence of a general non-autonomous discrete-time SIRS epidemic model

Extinction and permanence of a general non-autonomous discrete-time SIRS epidemic model

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We investigate a non-autonomous discrete-time SIRS epidemic model with nonlinear incidence rate and distributed delays combined with a nonlinear clairemax nude recovery rate taken into account the impact of health care quadruple ointment resources.Two threshold parameters $ mathcal{R}_0, mathcal{R}_infty $ are obtained so that the disease dies out when $ mathcal{R}_0 < 1 $; and the infective persists indefinitely when $ mathcal{R}_infty > 1 $.

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