Computation and stability analysis of Hopf Bifurcation in biophysical system model of cells
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Authors
Yi Zhou
- School of Mathematical and Computational Science, Huainan Normal University, Huainan 232038, Anhui, P. R. China.
Abstract
Dynamics of the Shen-Larter calcium oscillation model is investigated based on the theory of the center
manifold and bifurcation, including the classification and stability of equilibrium. The existence of two
subcritical Hopf bifurcations is derived in this case. More precisely, it is shown that the subcritical Hopf bi-furcations play a great role in the study of this calcium oscillation model. In addition, numerical simulations
are provided to verify our theoretical analysis and to display new phenomena. Based on the theoretical analysis results and the numerical results, an effective mechanism explaining the Shen-Larter calcium oscillation
model is obtained.
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ISRP Style
Yi Zhou, Computation and stability analysis of Hopf Bifurcation in biophysical system model of cells, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 309--315
AMA Style
Zhou Yi, Computation and stability analysis of Hopf Bifurcation in biophysical system model of cells. J. Nonlinear Sci. Appl. (2016); 9(1):309--315
Chicago/Turabian Style
Zhou, Yi. "Computation and stability analysis of Hopf Bifurcation in biophysical system model of cells." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 309--315
Keywords
- Calcium ion
- Hopf
- equilibrium.
MSC
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