A Mathematical Study of Two Species Commensalism Model

In this present paper we discussed two species commensalism model. Here first species (x) is commensal and the second species (y) is host. Commensalism is Ecological model interaction between two organisms. One organism benefits from other without harmed by the organism. Here we governed two non linear differential equations with natural resources and the model is represented by coupled non linear ordinary differential equations. All the equilibrium points are identified and discussed the local stability in each stage and also discussed the global stability by constructing suitable Lyapunov function and supported by numerical simulations using Mat Lab.