On Solutions and Heteroclinic Orbits of Some  Lotka-Volterra Systems: Solutions and Heteroclinic Orbits of Some  LV Systems

Supriya Mandal; Madan Mohan Panja; Santanu Ray

doi:10.24297/jam.v14i2.7499

Authors

Supriya Mandal Department of Mathematics, Visva-Bharati (A Central University), Santiniketan-731235, West Bengal, India
Madan Mohan Panja Department of Mathematics, Visva-Bharati (A Central University), Santiniketan-731235, West Bengal, India
Santanu Ray Department of Zoology, Visva-Bharati (A Central University), Santiniketan-731235, West Bengal, India

DOI:

https://doi.org/10.24297/jam.v14i2.7499

Keywords:

LV system, Exact solution, Heteroclinic orbit, Invariant.

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.

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