SEIR Model and Simulation for Vector Borne Diseases

Nita H. Shah; Jyoti Gupta

doi:10.4236/am.2013.48A003

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SEIR Model and Simulation for Vector Borne Diseases

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DOI: 10.4236/am.2013.48A003 7,878 Downloads 11,066 Views Citations

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Nita H. Shah, Jyoti Gupta

Affiliation(s)

Department of Mathematics, Gujarat University, Ahmedabad, India.

ABSTRACT

An epidemic model is a simplified means of describing the transmission of infectious diseases through individuals. The modeling of infectious diseases is a tool which has been used to study the mechanisms by which diseases spread, to predict the future course of an outbreak and to evaluate strategies to control an epidemic. Epidemic models are of many types. Here, SEIR model is discussed. We first discuss the basics of SEIR model. Then it is applied for vector borne diseases. Steady state conditions are derived. A threshold parameter R0 is defined and is shown that the disease will spread only if its value exceeds 1. We have applied the basic model to one specific diseases-malaria and did the sensitivity analysis too using the data for India. We found sensitivity analysis very important as it told us the most sensitive parameter to be taken care of. This makes the work more of practical use. Numerical simulation is done for vector and host which shows the population dynamics in different compartments.

KEYWORDS

SEIR-Model; Vector Borne Disease; Malaria; Simulation

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

N. Shah and J. Gupta, "SEIR Model and Simulation for Vector Borne Diseases," Applied Mathematics, Vol. 4 No. 8A, 2013, pp. 13-17. doi: 10.4236/am.2013.48A003.

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