On the Stability of a Commensal – Host Harvested (Immigration) Species Pair with Limited Resources

The present paper is devoted to an analytical investigation of a two species comensal - host model. Both the commensal and host with limited resources and are harvested (immigration) at a constant rate. The model is characterized by couple of first order non-linear ordinary differential equations. The only one equilibrium point for the model is identified and stability criteria are discussed. Also global stability is discussed by constructing suitable Liapunov’s function.