ABSTRACT
Background: Ebola Virus causes disease both in human and non-human primatesespecially in developing countries. In 2014 during its outbreak, it led to majority of deaths especially in some impoverished area of West Africa and its effect is still witnessed up till date. Materials and Methods:We studied the spread of Ebola virus and obtained a system of equations comprising of eighteen equations which completely described the transmission of Ebola Virus ina population where control measures were incorporated and a major source of contacting the disease which is the traditional washing of dead bodies was also incorporated. We investigated the local stability of the disease-free equilibrium using the Jacobian Matrix approach and the disease-endemic stability using the center manifold theorem. We also investigated the global stability of the equilibrium points using the LaSalle's Invariant principle.Results: The result showed that the disease-free and endemic equilibrium where both local and globally stable and that the system exhibits a forward bifurcation.Conclusions: Numerical simulations were carried out and our graphs show that vaccine and condom use is best for susceptible population, quarantine is best for exposed population, isolation is best for infectious population and proper burial of the diseased dead is the best to avoid further disease spread in the population and have quicker and better recovery.
Subject(s)
Vaccines , Disease Transmission, Infectious , Hemorrhagic Fever, Ebola , Models, Theoretical , QuarantineABSTRACT
The global stability analysis represents a compound failure, mechanism which provides lower calculated factors of safety. In this research, the global stability analysis was used to propose a mathematically model of the transmission dynamics and control of Trypanosomiasis, known as African sleeping sickness. We obtained the Disease-free equilibrium state and present graphical profile of some of the compartments
Subject(s)
Disease-Free Survival , Incidence , Models, Theoretical , Nigeria , Trypanosomiasis, African/epidemiology , Trypanosomiasis, African/prevention & control , Trypanosomiasis, African/transmissionABSTRACT
In this paper, we present a deterministic model on the transmission dynamics of Lymphatic Filariasis. Non-Standard Finite Difference Method (NSFDM) is employed to attempt the solution of the model. The validity of the NSFDM in solving the model is established by using the computer in-built classical fourth-order Runge-Kutta method. The comparism between Non-Standard Finite Difference Method solution and Runge-Kutta (RK4) were performed which were found to be efficient, accurate and rapidly convergence
Subject(s)
Elephantiasis, Filarial/therapy , Elephantiasis, Filarial/transmission , Models, Theoretical , NigeriaABSTRACT
Suicide rates in South Africa are on the increase; particularly amongst the youth. What are the complexities of modern life which are driving the increase? The suicidal act of self-destruction signals society's failure to provide good support systems and meaningful psycho-social well-being for its members. With its impressive Reconstruction and Developmental Programme (RDP); South Africa has not yet succeeded in extending the equivalent reconstruction of people's minds and thought processes. In some instances the art of negotiating one's existence on a daily basis is compromised by hostile socio-economic and political realities. The collective consciousness that once glued society has lost its bonding effect. Traditional systems of social support need to be revisited. The aim of this study is therefore to give a theoretical view of social dynamics of suicide in South Africa