Sensitivity Analysis of SEIR SEI Model of Dengue Disease

TL;DR

This paper models dengue transmission using an SEIR-SEI compartmental framework, analyzing the stability and sensitivity of parameters to understand disease persistence and control strategies.

Contribution

It introduces a detailed SEIR-SEI model for dengue and performs stability and sensitivity analyses to identify key parameters affecting disease dynamics.

Findings

Basic reproduction number calculated via Next Generation method.

Stability of equilibrium points analyzed in relation to reproduction number.

Sensitivity analysis highlights influential model parameters.

Abstract

Dengue is a vector borne infectious disease. The disease is transmitted byAedes mosquitoes. In the present work, SEIR - SEI compartmental epidemiological model is used to describe dengue disease transmission dynamics. The human population is classified into four epidemiological states: Susceptible, Exposed, Infectious and Recovered humans. The mosquito population is divided into three epidemiological states: Susceptible, Exposed and Infectious mosquitoes. Associated basic reproduction number which determines whether the disease will persist or die out, is calculated by Next Generation method. Stability of the equilibrium points of the model is analyzed in terms of basic reproduction number. Sensitivity analysis is carried out to study importance of modelparameters.