THREE-SPECIES ECOLOGICAL MODEL: HOST- COMMENSAL-NEUTRAL INTERACTIONS WITH RESOURCE CONSTRAINTS AND KENYAN MACROECONOMIC INSIGHTS

Abstract

Three hosts—S2, S3, and a single commensal—make up the system. In other words, S1
receives benefits from both hosts without suffering any negative or good effects on its own.
Additionally, neither S2 nor S3 are biassed. At this location, all three species have few resources.
Three non-linear simultaneous differential equations of first order make up the model equations.
This work uses a properly built Liapunov's function to prove that the system is globally stable. In
addition, the Runge-Kutta fourth order approach is used to obtain the numerical solutions for the
growth rate equations.