Open AccessOn 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.