In this work a deterministic and stochastic model is developed to investigate the dynamics of Ebola epidemic. 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 Chowel et. al (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...
This work investigated the dynamics of coronavirus amongst the susceptible individuals. It is established herein, with a proposition that there exists a control strategy that is bounded above by 0.01 for the contact rate of susceptible individuals. It is observed that at a=d=1.5, the virus population and the human population coincides, however, at c=b=0.1, almost all the human population is infected by the virus. It is also observed that at endemic state, the corona virus population experienc...
