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Discrete modeling of the three species syn-ecosystem with unlimited resources

Prasad B. H.

Journal of Applied Mathematics and Computational Mechanics

2015

Vol. 14, nr 2

85--93

In this paper, the three species syn-ecosystem is comprised of a commensal (S1), two hosts S2 and S3, i.e. S2 and S3 both benefit S1 without getting themselves affected either positively or adversely. Further, S2 is a commensal of S3, S3 is a host of both S1, S2 and all the three species have unlimited resources. The basic equations for this model constitute as three first order non-linear coupled ordinary difference equations. All possible equilibrium states are identified based on the model equations at two stages and criteria for their stability are discussed. Further, the numerical solutions are computed for specific values of the various parameters and the initial conditions.