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| Basic Reproduction Number in a GrowingPopulation |
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| KeyWord:Basic reproduction number Population dynamics |
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| Abstract: |
| The basic reproduction number of a fast disease epidemic on a
slowly growing network may increase to a maximum then decrease to its equi-
librium value while the population increases, which is not displayed by classical
homogeneous mixing disease models. In this paper, we show that, by properly
keeping track of the dynamics of the per capita contact rate in the population
due to population dynamics, classical homogeneous mixing models show simi-
lar non-monotonic dynamics in the basic reproduction number. This suggests
that modeling the dynamics of the contact rate in classical disease models with
population dynamics may be important to study disease dynamics in growing
populations. |
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