Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems

Joint Authors

Wang, Qi
Wen, Jiechang

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

Mathematics

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