Analysis of Epidemic model for Dengue by Simulation

Authors

Mampi Saha
RTC Institute of Technology, Ranchi, India.

Kaveri Kanchan Kumari
Cambridge Institute of Technology, Tatisilwai, Ranchi, India.

Om Prakash
Ranchi University, Ranchi, India.

Asha Lata Keshri
Department of Mathematics, Ranchi University, Ranchi, India.

Abstract

Mathematical models have a profound contribution in the field of epidemiological research, which became more prominent after the outspread of Coronavirus. In this paper, with the aid of mathematical modeling we propose a method of recovery for the humans affected by dengue. According to WHO, dengue is a dangerous disease. This disease is caused in humans through the bite of female mosquito, especially Aedes Aegypti/ Yellow Fever Mosquito. When an infected mosquito with any four types of virus strain denoted by DENV-1 to DENV-4 bites humans, they may get this disease. For, this we proposed a SIHRV (Susceptible Infectious Hospital Recovery Vaccine) model, which is an extension of SIR model. By using Jacobian and Routh- Hurwity criterion we find the threshold number R_0. If R_0>1 model is unstable and if R_0<1 the model is stable. We also find Disease free equilibrium point and Endemic equilibrium point, which is useful for better recovery. For the better representation of the model, we have used matlab to make graphs.