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

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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.

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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

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