Development of a Competition Model for Streptococcus mutans and Streptococcus sanguis in Mixed Culture: A Mathematical Analysis
Md. Kamrujjaman, Mohammad Shahnoor Hossain
Journal of Advances in Microbiology · pp. 1–12 · Published 14 Jun 2018
10.9734/JAMB/2018/41344Abstract
A competitive mathematical model for the growth of Streptococcus mutans and Streptococcus sanguis is developed in this study. The main goal of this paper is to investigate the roles of two different growth laws: The logistic growth and the Smith growth to determine the competition outcome between two organisms in a given micro-ecological domain. We demonstrated that the competitive exclusion of a food limited bacteria is inevitable based on resource availability of species following the logistic growth. If the resource utilization capacity is equal then there is a possible coexistence and both bacteria co-operate with each other. This model can be used as a basic competition model for the prediction of the outcome of growth between any others microorganisms.
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