Stability analysis of SEIR model using non-newborn vaccination and cost effective treatment

Abstract

This study focused on the modification and probation of a Susceptible-Exposed-Infected-Recovered (SEIR) model for non-newborn vaccination and cost effective treatment. The system of differential equations has been derived from SEIR model to creates a bond between susceptible S, infected I, exposed E and recovered E participants for understanding the spread out of contagious diseases. Further, the local stabilities of both disease free equilibrium points and endemic equilibrium points were found stable at epidemic conditions i.e. epidemic (R₀ > 1) and no epidemic (R₀ ≤ 1). In addition, numerical simulation has been performed to investigate the proposed model at regular set of values of parameters. Moreover, our vaccination target is only non-newborn individuals to protect the population without effecting the economy of country.