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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 3
First page : ( 447) Last page : ( 452)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00078.X

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.

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Keywords

Neutralism, Ammensalism, Interior Equilibrium point, Global Stability, Lyapunov function.

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