Delayed SIR model with latency and saturated incidence rate

Muhammad Abdullahi Yau, H.S Ndakwo, Muktari Garba

Abstract


In this paper, we derive and analyse a delayed $SI$ model with saturated incidence rate and
latent or infectious period $\tau$. We prove local stability of the system's steady states in the
absence and the presence of the time delay. We discover the the disease-free steady state is locally
asymptotically stable if $\mathcal{R}_0<1$ and unstable if $\mathcal{R}_0>1$. While, the endemic steady
state is always stable for any parameter values and for all $\tau\ge0$.

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References


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Yuliya N. Kyrychko, Konstantin B. Blyuss, emph{Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate}, Nonlinear Analysis: Real World Applications, 6 (2005) 495-507.




DOI: http://dx.doi.org/10.21015/vtm.v3i2.138

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