Stability Analysis by Routh Hurwitz on Dengue Epidemic Model

Abstract

Dengue is a serious disease, according to the WHO. Humans contract this illness when female mosquitoes, particularly the Aedes aegypti/yellow fever mosquito, bite them. Humans can contract this disease when bitten by an infected mosquito carrying any of the four virus strains designated by DENV-1 to DENV-4. As an extension of the SIR model, we suggested the SIHRV (Susceptible Infectious Hospital Recovery Vaccine) model for this purpose. The threshold number is determined by applying the Routh-Hurwity and Jacobian criteria. The model is unstable if  and stable if . In order to improve recovery, we also determine the endemic and disease-free equilibrium points.