Mathematical model of epidemics: SEIR model by using homotopy perturbation method

In this paper, we investigated a system of non-linear differential equations of SEIR model. For many diseases, individuals who are infected do not immediately become infectious. Instead, they go through latent period. To model this, it is added a fourth compartment, the exposed (E) compartment to SI...

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Bibliographic Details
Main Authors: Sivakumar, M., Senthamarai, R.
Format: Conference Proceeding
Language:English
Subjects:
Computer simulation
Differential equations
Epidemics
Exact solutions
Mathematical models
Nonlinear equations
Perturbation methods
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Summary:In this paper, we investigated a system of non-linear differential equations of SEIR model. For many diseases, individuals who are infected do not immediately become infectious. Instead, they go through latent period. To model this, it is added a fourth compartment, the exposed (E) compartment to SIR model that became SEIR model. By using HPM, we found the approximate analytical solution to the SEIR model. Numerical simulation is also conferred. Graphical results are exhibited and discussed quantitatively.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5112265