On Solutions and Heteroclinic Orbits of Some Lotka-Volterra Systems

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 2

Abstract

In this work, a principle for getting heteroclinic orbit of a dynamical system has been proposed when the solution is known in a compact form. The proposed principle has been tested through its application to a three species Lotka-Volterra system, which may appear as a mathematical model of human pathogen system. The domain in parameter  space involve in the model, and the region of initial condition  for the existence of heteroclinic orbit have been derived.

Authors and Affiliations

Supriya Mandal, Madan Mohan Panja, Santanu Ray

Keywords

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  • EP ID EP651869
  • DOI 10.24297/jam.v14i2.7499
  • Views 174
  • Downloads 0

How To Cite

Supriya Mandal, Madan Mohan Panja, Santanu Ray (2018). On Solutions and Heteroclinic Orbits of Some Lotka-Volterra Systems. JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 7851-7859. https://europub.co.uk/articles/-A-651869