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On the Qualitative Behaviour of SIR Epidemics with Generalized Infection Rate Functions |
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PP: 353-363 |
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Author(s) |
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Hamid El Maroufy,
Ziad Taib,
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Abstract |
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| We consider an SIR stochastic epidemic model in which new infection occurs at rate
fn(x, y), where x and y are respectively the number of susceptibles and infectives at
time of infection and fn is a positive sequence of real functions. Threshold theorems
analogous to those of Whittle and Williams are fairly proved for this model. Also we
examine the shape of the total size distribution for various values of removal rate and
suitable values of other important parameters. |
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