Analysis Stability of the Nonlinear Epidemic Model with Temporary Immunity

Laid Chahrazed


The present paper present a nonlinear mathematical model, which analyses the spread and stability of the model epidemic. A population of size N(t) at time t, is divided into three sub classes, with N(t) = S(t) + I(t) + Q(t); where S(t),I(t), and Q(t) denote the sizes of the population susceptible to disease, and infectious members, quarantine members with the possibility of infection through temporary immunity, respectively. This paper deals with the equilibrium and stability, precisely the global asymptotic stability of endemic equilibrium under certain conditions on the parameter. Second stochastic stability and finally the equilibrium and stability of the epidemic model with age.

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