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Research Article Open access CC BY 4.0

Investigation of Zeeman Models with Time Delays

Pinar Oral, Mehmet Merdan, Zafer Bekiryazici

Journal of Advances in Mathematics and Computer Science · pp. 1–15 · Published 27 Mar 2018

10.9734/JAMCS/2018/35599

Abstract

In this paper, the stability of the equilibrium points of the two dimensional Zeeman Heartbeat Model is investigated with time delay in cardiac muscle fiber or stimulator. The formulation of the heartbeat model is explained in the first part. Then, the stability conditions for the equilibrium points of the system are derived. Finally, some examples are given to illustrate the results of the study. The overall objective of this study is to investigate the effects of time delays on the dynamics of the Zeeman Heartbeat Model.

Zeeman Heartbeat model time delay stability equilibrium.

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