Abstract
This paper examined the effects of reversion and renewal of inactive Christian on Church growth. A mathematical model for the problem was proposed and transformed into proportions in order to reduce model equations for easy analysis. Using the next-generation method, the basic reproduction number was computed in terms of the parameters of the reduced model equations. The Faith free equilibrium was obtained and found to be locally and globally asymptotically stable when . Using the centre manifold theory approach, the Faithful equilibrium was showed to be locally asymptotically stable when . Numerical simulation of the model was carried out to assess the effects of the effects of reversion and renewal of inactive Christian on Church growth. The result shows that regular revival, retreat and social welfare support programme for less privilege will help the church to grow.
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