![](/images/graphics-bg.png)
Linear Analysis of an Integro-Differential Delay Equation Model
Author
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-02
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper presents a computational study of the stability of the steady state solutions of a biological model with negative feedback and time delay.
The motivation behind the construction of our system comes from biological gene networks and the model takes the form of an integro-delay differential equation (IDDE) coupled to a partial differential equation.
Linear analysis shows the existence of a critical delay where the stable steady state becomes unstable.
Closed form expressions for the critical delay and associated frequency are found and confirmed by approximating the IDDE model with a system of N delay differential equations (DDEs) coupled to N ordinary differential equations.
An example is then given that shows how the critical delay for the DDE system approaches the results for the IDDE model as N becomes large.
American Psychological Association (APA)
Verdugo, Anael. 2018. Linear Analysis of an Integro-Differential Delay Equation Model. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1170776
Modern Language Association (MLA)
Verdugo, Anael. Linear Analysis of an Integro-Differential Delay Equation Model. International Journal of Differential Equations No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1170776
American Medical Association (AMA)
Verdugo, Anael. Linear Analysis of an Integro-Differential Delay Equation Model. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1170776
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170776