Population Dynamics and the Epidemiological Model Proposed by Severo

Authors

  • H.M YANG

DOI:

https://doi.org/10.5540/tema.2002.03.02.0227

Abstract

We revisit the non-bilinear incidence rate model proposed by Severo, in order to introduce a derived dynamical model taking into account the heterogeneities related to environment, immunity and genetics. The properties of that model can be better understood by the means of the population dynamics theory.

References

[1] R.M. Anderson and R.M. May, “Infectious Diseases of Humans - Dynamics and Control”, Oxford University Press, Oxford, New York, 1992

N.T.J. Bailey, Stochastic birth, death and migration processes for spatially distributed population, Biometrika, 55 (1968), 189-198.

N.T.J. Bailey, “The Mathematical Theory of Infectious Diseases and Its Applications”, Charles Griffin and Company Ltd., 2nd Ed., London and High Wycombe, 1975.

W.M. Liu, H.W. Hethcote and S.A. Levin, Dynamics behavior of epidemiological models with nonlinear incidence rates, J. Math. Biol., 25 (1987), 359-380.

N.C. Severo, Generalizations of some stochastic epidemic models, Math. Biosc., 4 (1969), 395-402.

N.C. Severo, The probabilities of some stochastic epidemic models, Biometrika, 56 (1969), 197-201.

H.M. Yang, Modelling vaccination strategy against directly transmitted diseases using a series of pulses, J. Biol. Systems, 6, No. 2 (1998), 187-212.

H.M. Yang and W.C. Ferreira Jr., A population model applied to HIV transmission considering protection and treatment, IMA J. Math. Appl. Med. Biol., 16, No. 3 (1999), 237-259.

Downloads

Published

2002-06-01

How to Cite

YANG, H. (2002). Population Dynamics and the Epidemiological Model Proposed by Severo. Trends in Computational and Applied Mathematics, 3(2), 227–236. https://doi.org/10.5540/tema.2002.03.02.0227

Issue

Vol. 3 No. 2 (2002)

Section

Original Article

License

Copyright

Authors of articles published in the journal Trends in Computational and Applied Mathematics retain the copyright of their work. The journal uses Creative Commons Attribution (CC-BY) in published articles. The authors grant the TCAM journal the right to first publish the article.

Intellectual Property and Terms of Use

The content of the articles is the exclusive responsibility of the authors. The journal uses Creative Commons Attribution (CC-BY) in published articles. This license allows published articles to be reused without permission for any purpose as long as the original work is correctly cited.

The journal encourages Authors to self-archive their accepted manuscripts, publishing them on personal blogs, institutional repositories, and social media, as long as the full citation is included in the journal's website version.