Year: 2020
Author: Yuzhen Chai, Junling Ma
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 261–266
Abstract
The basic reproduction number of a fast disease epidemic on a slowly growing network may increase to a maximum then decrease to its equilibrium 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 similar 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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.261
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 261–266
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Basic reproduction number Population dynamics.