MATHEMATICAL MODELS OF MEASLES BY DIFFERENTIAL EQUATIONS IN VIRTUAL EDUCATION ... : ...

Compartmental models have proven to be useful in various forms of epidemics: Ebola, dengue fever, swine fever, flu, avian flu, etc. Such models have experienced a great development especially because of the multitude of practical applications, but also due to the many possibilities of software imple...

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Bibliographic Details
Main Authors: Dragos, Arotaritei, George, Constantin, Calin, Corciova
Format: Dataset
Language:English
Published: ADLRO 2018
Subjects:
Online Access:https://dx.doi.org/10.12753/2066-026x-18-197
http://proceedings.elseconference.eu/index.php?paper=95a9225e6c3e6750e45ccd8e12ab500d
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Summary:Compartmental models have proven to be useful in various forms of epidemics: Ebola, dengue fever, swine fever, flu, avian flu, etc. Such models have experienced a great development especially because of the multitude of practical applications, but also due to the many possibilities of software implementation. Although there are a few software tools, for example, EpiModel, they have limitations in modelling and use of language employed in the simulation. Measles can be described as a model with 4 compartments, SEIR, but for a better knowledge of all geographic implications in terms of vaccination, we propose a MSEIR model (S = susceptible, I = infected, R = recovered, vaccinated, E = exposed, M = maternally immune). The educational software created in MATLAB, can generate a graphical system, with specific interactions between compartments, starting with initial values set by the user as a result of specific epidemiological studies. After defining the compartments and their links, a generator will build the ...