Delay differential equations and applications to biology Fathalla A. Rihan

Format:

Book

Author/Creator:

Rihan, Fathalla A., author.

Series:

Forum for interdisciplinary mathematics 2364-6756

Language:

English

Subjects (All):

Delay differential equations.

Biomathematics.

Physical Description:

1 online resource

Edition:

Second edition

Place of Publication:

Cham Springer [2026]

Summary:

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 new edition introduces advanced numerical techniques for solving pantograph-type DDEs, including stability analyses. The book also integrates recent research on stochastic models of DDEs, particularly from the fields of immunology and cancer modeling. In addition, the book includes updated case studies from biological and medical sciences, such as glucose-insulin interaction models and infectious disease dynamics. This book is particularly valuable to mathematicians, researchers, and professionals in the fields of mathematical biology, life sciences, immunology, and epidemiology

Contents:

1. Qualitative Features of Delay Differential Equations

2. Continuous Runge-Kutta Methods for Delay Differential Equations

3. Stability Concepts of Numerical Solutions of Delay Differential Equations

4. Mono-Implicit Runge-Kutta Methods for Volterra Delay Integro-Differential Equations

5. Parameter Estimation with Delay Differential Equations

6. Sensitivity Analysis of Delay Differential Equations

7. Stochastic Delay Differential Equations

8. Continuous Runge-Kutta Schemes for Pantograph Delay Differential Equations

9. Split-Step -Method for Stochastic Pantograph Differential Equations

10. Delay Differential Equations with Infectious Diseases

11 Delay Differential Equations of Tumor-Immune System with Treatment and Control

12 Delay Differential Equations of Ecological Systems with Allee Effect

13 Fractional-Order Delay Differential Equations with Predator-prey Systems

14 Fractional-Order Delay Differential Equations of Hepatitis C Virus

15 Stochastic Delay Differential Model for Coronavirus Infection COVID-19

16 Delay Differential Equations with Glucose-Insulin Dynamics

17 Remarks and Current Challenges

Notes:

Includes bibliographical references

Online resource; title from PDF title page (SpringerLink, viewed April 20, 2026)

Other Format:

Print version Rihan, Fathalla A. Delay Differential Equations and Applications to Biology

ISBN:

9783032086457

3032086450

OCLC:

1586633569

Access Restriction:

Restricted for use by site license