The stability analysis of a mathematical model of awareness initiatives in person registration in Kenya is discussed in this research. A mathematical model is built using Ordinary Differential Equations to assess the efficacy of print, electronic, and word-of-mouth media in disseminating registration information. To ensure that the model is mathematically meaningful, positivity and boundedness of solutions are established. The Next Generation Matrix is used to calculate the Basic Reproduction number R0. We show the maximum awareness equilibrium as well as the awareness free equilibrium. The model's stability analysis shows that the Awareness free equilibrium is both locally and globally asymptotically stable when R0 1, indicating no spread of awareness, and unstable when R0 > 1, indicating information spread in the population, whereas MAE is locally asymptotically stable when R0 > 1, indicating information spread in the population.
Author (S) Details
Ann N. Mwambia
Chuka University, Kenya.
Mark O. Okongo
Chuka University, Kenya.
Gladys G. Njoroge
Chuka University, Kenya.
View Book :- https://stm.bookpi.org/CTMCS-V9/article/view/3642
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