On Solutions and Heteroclinic Orbits of Some Lotka-Volterra Systems | Zendy

Supriya Mandal | Zendy; M. M. Panja | Zendy; Santanu Ray | Zendy

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On Solutions and Heteroclinic Orbits of Some Lotka-Volterra Systems

Author(s) -

Supriya Mandal,

M. M. Panja,

Santanu Ray

Publication year - 2018

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v14i2.7499

Subject(s) - heteroclinic orbit , mathematics , orbit (dynamics) , domain (mathematical analysis) , heteroclinic cycle , volterra equations , work (physics) , space (punctuation) , heteroclinic bifurcation , dynamical system (definition) , dynamical systems theory , mathematical analysis , physics , computer science , bifurcation , homoclinic orbit , nonlinear system , engineering , thermodynamics , aerospace engineering , operating system , quantum mechanics , period doubling bifurcation

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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