Dynamics of Three Species Food Chain Model with Neutralism and Ammensalism

The present investigation is an analytical study of three species system comprising two neutral species (First species N₁ and Second species N₂), which are ammensal on the third species (N₃). The model is represented by a system of three first order non-linear ordinary differential equations. Interior equilibrium point is identified and the stability of interior equilibrium point was discussed using Routh-Hurwitz criterion. Further solutions of quasi-linearized equations are identified and the global stability is discussed by Lyapunov's function and the results are simulated by numerical examples using MatLab.