Applied Mathematics Research Papers/Topics

Dynamics of Ebola Virus

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...

Dynamics and Simulation of Corona Virus Epidemic

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...

Stellar Models With Generalized Pressure Anisotropy

Abstract . New models for a charged anisotropic star in general relativity are found. We consider a linear equation of state consistent with a strange quark star. In our models a new form of measure of anisotropy is formulated; our choice is a generalization of other pressure anisotropies found in the past by other researchers. Our results generalize quark star models obtained from the Einstein-Maxwell equations. Well-known particular charged models are also regained. We indicate that relativ...


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