[01] B. Hari Prasad, Department of Mathematics, Chaitanya Degree College (Autonomous), Hanamkonda, Telangana State, India.

In this paper, the three species syn eco-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, S₃ is a host of both S₁, S₂ and the second species has unlimited resources. The basic equations for this model constitute as three first order non-linear coupled ordinary difference equations. All possible equilibrium points 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.

Commensal, Equilibrium Point, Host, Oscillatory, Stable, Unstable

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