TITLE:
SEIR Model and Simulation for Vector Borne Diseases
AUTHORS:
Nita H. Shah, Jyoti Gupta
KEYWORDS:
SEIR-Model; Vector Borne Disease; Malaria; Simulation
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.8A,
July
23,
2013
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.