Stability Analysis of Lotka-Volterra Model in The Case of Interaction of Local Religion and Official Religion

Tri Hidayati,Wiwit Kurniawan

doi:10.51601/ijersc.v2i3.97

Tri Hidayati, Wiwit Kurniawan

Open Access

https://doi.org/10.51601/ijersc.v2i3.97

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Abstract

The purpose of this research is to examine the interaction of local religions and official religions using the Lotka Volterra equation model. This study uses a literature study, which means that all the material in this study is taken, collected and compiled from various existing book sources. The steps in this study are to find the equilibrium point of each equation, then examine the behavior of each equilibrium point obtained. In this study, an analytical study of the prey population model has three equilibrium points, namely and . The stability of the interaction between local religions and official religions is achieved at an equilibrium . From this it shows that the interaction of official religion and local religion does not necessarily lead to the extinction of a religion. The interaction of local religious and official religion there is a point of equilibrium, where the social reality they can work in harmony.

Highlights

IntroductionThere are various ethnic groups, cultures, languages and religions
Indonesia is a country that is very rich in diversity
From this it shows that the interaction of official religion and local religion does not necessarily lead to the extinction of a religion

Summary

Introduction

There are various ethnic groups, cultures, languages and religions. This diversity is a blessing, but on the other hand there is the potential for conflict and friction between these different entities. In the understanding of the Indonesian government, local religion is not considered a form of “religion”, but is considered a faith or belief system (Aliran Kepercayaan). In addition to political-government problems, local religions are faced with the problem of religious conversion. Several cases occurred in various parts of Indonesia where adherents of the Aliran Kerpercayaan converted to the official religion. Hasse J (2016) in his study "The Dynamics of Relations between Islam and Local Religion in Indonesia", said that many Towani Tolatang in Sulawesi converted to Islam [2]

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