A Mathematical Model to study the effect of Renewal and Reversion of Inactive Christians on Church Growth

Madubueze; Chinwendu E.; Nwaokolo; Martin A

doi:https://doi.org/10.14445/22315373/IJMTT-V14P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 14 | Number 2 | Year 2014 | Article Id. IJMTT-V14P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V14P515

A Mathematical Model to study the effect of Renewal and Reversion of Inactive Christians on Church Growth

Madubueze, Chinwendu E. , Nwaokolo, Martin A

Citation :

Madubueze, Chinwendu E. , Nwaokolo, Martin A, "A Mathematical Model to study the effect of Renewal and Reversion of Inactive Christians on Church Growth," International Journal of Mathematics Trends and Technology (IJMTT), vol. 14, no. 2, pp. 93-105, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V14P515

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 R_0 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 R0<1Using the centre manifold theory approach, the Faithful equilibrium was showed to be locally asymptotically stable when ܴ଴ < 1. 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 showed that regular revival, retreat and social welfare support programme for less privilege will help the church to grow.

Keywords

renewal, reversion, the basic reproduction number, backward bifurcation, Church Growth, Inactive Christian.

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