Introduction and analysis of the S.I.V. epidemiological model, a variation of the classic S.I.R. model
The main purpose of the study above is to analyze the epidemiological model developed in the paper “A Core Group Model for disease transmission” written by K.P. Hadeler and C. Castill-Chavez [K.P. Hadeler and C. Castill-Chavez,“A Core Group Model for Disease Transmission”, Math. Biosci. 128, 41-55 (...
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Format: | Tagungsbericht |
Sprache: | eng |
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Zusammenfassung: | The main purpose of the study above is to analyze the epidemiological model developed in the paper “A Core Group Model for disease transmission” written by K.P. Hadeler and C. Castill-Chavez [K.P. Hadeler and C. Castill-Chavez,“A Core Group Model for Disease Transmission”, Math. Biosci. 128, 41-55 (1995)]”. The paper focuses on the presentation of the model formulation process as well as the mathematical analysis process of the model. What is more the paper also covers the biological aspects emerging from the previous processes and the demographic results obtained after the application of an educational/prophylactics/vaccination program. The S.I.V. epidemiological model introduced here is expressed by a non-linear dynamic system which involves the population groups, the death and birth rate of every group, the disease transmission rate, the recovery and vaccination rate. The paper attempts to determine and explore the threshold conditions for the spread of the disease, the multiple stationary states and the parametric areas where backward bifurcation occurs. Finally, a lot of emphasis is given on the significance of the backward bifurcation phenomena concerning the prophylactics or partially effective vaccination enforced on a population. |
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ISSN: | 0094-243X 1551-7616 |
DOI: | 10.1063/1.5091434 |