Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-25
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems.
The exponential θ-method is applied to p′(t)=β0ωμp(t−τ)/(ωμ+pμ(t−τ))−γp(t) and it is shown that the exponential θ-method has the same order of convergence as that of the classical θ-method.
Several conditions under which the numerical solutions oscillate are derived.
Moreover, it is proven that every nonoscillatory numerical solution tends to positive equilibrium of the continuous system.
Finally, the main results are illustrated with numerical examples.
American Psychological Association (APA)
Wang, Qi& Wen, Jiechang. 2012. Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993170
Modern Language Association (MLA)
Wang, Qi& Wen, Jiechang. Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993170
American Medical Association (AMA)
Wang, Qi& Wen, Jiechang. Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993170