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Delay differential equations and app...

Rihan, Fathalla A.

Delay differential equations and applications to biology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Delay differential equations and applications to biologyby Fathalla A. Rihan.
Author:	Rihan, Fathalla A.
Published:	Singapore :Springer Singapore :2021.
Description:	xvii, 286 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Delay differential equations.
Online resource:	https://doi.org/10.1007/978-981-16-0626-7
ISBN:	9789811606267

Delay differential equations and applications to biology
Rihan, Fathalla A.

Delay differential equations and applications to biology[electronic resource] /by Fathalla A. Rihan. - Singapore :Springer Singapore :2021. - xvii, 286 p. :ill., digital ;24 cm. - Forum for interdisciplinary mathematics,2364-6756. - Forum for interdisciplinary mathematics..

Part I Qualitative and Quantitative Features of Delay Differential Equations: 1. Delay Differential Equations -- 2. Numerical Solutions of Delay Differential Equations -- 3. Stability Concepts of Numerical Solutions of Delay Differential Equations -- 4. Parameter Estimation with Delay Differential Equations -- Part II Applications of Delay Differential Equations: 5. Delay Differential Equations with Infectious Diseases -- 6. Delay Differential Equations with Cell Growth Dynamics -- 7. Delay Differential Equations with Tumour-Immure Interactions and External Treatments -- 8. Delay Differential Equations with Ecological Systems -- 9. Fractional-Order Delay Differential Equations with Applications -- 10. Sensitivity Analysis.

This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.

ISBN: 9789811606267

Standard No.: 10.1007/978-981-16-0626-7doiSubjects--Topical Terms:

340133
Delay differential equations.

LC Class. No.: QA372 / .R55 2021

Dewey Class. No.: 515.352

Delay differential equations and applications to biology
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505 0 $a Part I Qualitative and Quantitative Features of Delay Differential Equations: 1. Delay Differential Equations -- 2. Numerical Solutions of Delay Differential Equations -- 3. Stability Concepts of Numerical Solutions of Delay Differential Equations -- 4. Parameter Estimation with Delay Differential Equations -- Part II Applications of Delay Differential Equations: 5. Delay Differential Equations with Infectious Diseases -- 6. Delay Differential Equations with Cell Growth Dynamics -- 7. Delay Differential Equations with Tumour-Immure Interactions and External Treatments -- 8. Delay Differential Equations with Ecological Systems -- 9. Fractional-Order Delay Differential Equations with Applications -- 10. Sensitivity Analysis.
520 $a This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.
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