Journal of the Nigerian Association of Mathematical Physics

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Effect of transmission rate in an SIR epidemic model

RO Ayeni, O Adebimpe, TO Oluyo, SO Adewale, AO Popoola, AW Ogunsola


We extend the transmission rate to nonlinear orders and show that S+I+R is still attractive. When the nonlinearity order is greater than 1, we show that the basic reproduction number decreases as the recruitment increases. We provide the patterns of the stability of the equilibrium states.

Keywords: transmission rate, SIR model, basic reproduction number, stability.

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