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Qualitative Behaviour of a Model of an SIRS Epidemic: Stability and Permanence |
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PP: 220-238 |
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Author(s) |
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Hamid El Maroufy,
Adil Lahrouz,
PGL Leach,
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Abstract |
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| We consider a classical model of a SIRS epidemic in an open population. The positivity
and permanence are studied and explicit formul? are obtained by which the eventual
lower bound of the density of infectives can be computed. The stability of the model
is studied. We mainly use the Lyapunov functional to established the global stability
of disease-free and endemic equilibrium points for both the deterministic and stochas-
tic models. In addition we illustrate the dynamic behaviour of the deterministic and
stochastic models via a numerical example. |
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