Browsing by Author "Kwabi P. A."

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    A MATHEMATICAL MODEL OF COVID-19 TRANSMISSION DYNAMICS WITH EFFECTS OF AWARENESS AND VACCINATION PROGRAM
    (Journal of Ghana Science Association, 2023-10) Agbata, B.C.; Shior, M.M.; Obeng-Denteh, W.; Omotehinwa, T.O.; Paul, R.V.; Kwabi P. A.; Asante-Mensa, F
    This study introduces a deterministic mathematical model for understanding the transmission dynamics of COVID-19, con sidering the influence of vaccination and awareness program, which target susceptible individuals. The model is based on a system of differential equations, resulting in an SVEIR model. Through qualitative analysis, various aspects of the model, such as disease-free equilibrium, endemic equilibrium, basic reproduction number, and local and global stability, were thoroughly explored. The disease-free equilibrium is proven to be both locally and globally stable when R0 < 1, while it ∼becomes unstable when R0 > 1. Simulation results demonstrate that the combination of vaccination and awareness programs emerges as the most effective approach to mitigate the spread of COVID-19 within the population.
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    On the dynamics of the Tent function-Phase diagrams
    (Modem Science Publishers, 2016-05) Kwabi P. A.; Obeng Denteh, William; Boadi, Richard Kena; Ayekple, Yao Elikem
    This paper focuses on the study of a one dimensional topological dynamical system, the tent function. We give a good background to the theory of dynamical systems while establishing the important asymptotic properties of topological dynamical systems that distinguishes it from other fields by way of an example - the tent function. A precise definition of the tent function is given and iterates are clearly shown using the phase diagrams. By this same method, chaos in the tent map is shown as iterates become higher. We also show that the tent map has infinitely many chaotic orbits and also express some important features of chaos such as topological transitivity, boundedness and sensitivity to change in initial conditions from a topological viewpoint.