Deterministic And Stochastic Model Of Dynamics Of Ebola Virus

ABSTRACT 

      In this work a deterministic and stochastic model is developed to investigate the deterministic and stochastic model of dynamics of Ebola virus. The model includes susceptible, exposed, infected, quarantined and removed or recovered individuals. The model used in this work is based on a deterministic model. The Chowell (2015) work on early detection of Ebola is modified by introducing an assumption that the quarantined class is totally successful and cannot infect the susceptible class. The resulting model is transformed into a stochastic model and solved using the Euler Maruyama method. We are able to develop and analyze a Model with an effective isolation of infected individual and its effect to the Infectious and Quarantined classes are analyzed in our Simulation. It is seen that the disease will produce an epidemic and after some time. 

 

 

Keywords and phrases: Stochastic model, Ebola, Jacobian, Wiener process