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A numerical approach of a typical three species syn-eco-system

B. Hari Prasad and N.Ch. Pattabhi Ramacharyulu

In this paper,we are studing the numerical approach of a typical three species syn eco-system. The system comprises of a commensal (S1), two hosts S2 and S3 ie., S2 and S3 both benefit S1, without getting themselves effected either positively or adversely. Further S2 is a commensal of S3 and S3 is a host of both S1, S2.. Limited resources are considered for all three species in this case. The model equations of the system constitute a set of three first order non-linear ordinary differential coupled equations. In all, eight equilibrium points of the model are identified. In this paper the numerical solutions for the growth rate equations are computed using Runga-Kutta fourth order method.