Dynamics of Three Species Food Chain Model with Neutralism and Ammensalism Rao K. Kondala1,*, Dr. Narayan K Lakshmi2 1Vidya Jyothi Institute of Technology, Hyderabad 2Professor of Mathematics, VITS, Hyderabad, narayankunderu@yahoo.com *Corresponding Author E-mail: kkrao.kanaparthi@gmail.com
Online published on 12 June, 2018. Abstract 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. Top Keywords Neutralism, Ammensalism, Interior Equilibrium point, Global Stability, Lyapunov function. Top |
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