In this article, a new method for analyzing the stability of a steady state of a delay differential equation is introduced. We determine whether or not varying the delay length can change the stability characteristics of a steady state, treating the length of the time delay as a bifurcation parameter. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Monica C

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Pitchaimani M.

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

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Journal	Data powered by TypesetJournal of Nonlinear Science
Publisher	Data powered by TypesetSpringer Science and Business Media LLC
ISSN	0938-8974
Open Access	No