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Dynamical interaction of supervisor-student towards research

Dynamical interaction of supervisor-student towards research Research is the step to describe, explain, predict and control the observed phenomenon in a systematic way. Researchers have provided a direction to the scientific knowledge for contributing to the development of specialty. In this paper, we will analyse mathematically how the students and supervisor initiate and reach up to their designation which is their destination by carrying out research in collaboration with each other. Using Routh Hurwitz criteria, both the equilibrium points have proved to be locally and globally asymptotically stable by the use of Lyapunov function. Bifurcation of the model has been done with respect to the basic reproduction number. Numerical simulation has been carried out to study various results and impact of the compartments. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Applied Systemic Studies Inderscience Publishers

Dynamical interaction of supervisor-student towards research

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd
ISSN
1751-0589
eISSN
1751-0597
DOI
10.1504/IJASS.2018.103762
Publisher site
See Article on Publisher Site

Abstract

Research is the step to describe, explain, predict and control the observed phenomenon in a systematic way. Researchers have provided a direction to the scientific knowledge for contributing to the development of specialty. In this paper, we will analyse mathematically how the students and supervisor initiate and reach up to their designation which is their destination by carrying out research in collaboration with each other. Using Routh Hurwitz criteria, both the equilibrium points have proved to be locally and globally asymptotically stable by the use of Lyapunov function. Bifurcation of the model has been done with respect to the basic reproduction number. Numerical simulation has been carried out to study various results and impact of the compartments.

Journal

International Journal of Applied Systemic StudiesInderscience Publishers

Published: Jan 1, 2018

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