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Delay Differential Equations and Applications to Biology / by Fathalla A. Rihan.
Springer Nature - Springer Mathematics and Statistics eBooks 2021 English International Available online
View online- Format:
- Book
- Author/Creator:
- Rihan, Fathalla A., author.
- Series:
- Forum for Interdisciplinary Mathematics, 2364-6756
- Language:
- English
- Subjects (All):
- Differential equations.
- Integral equations.
- Differential Equations.
- Integral Equations.
- Local Subjects:
- Differential Equations.
- Integral Equations.
- Physical Description:
- 1 online resource (292 pages)
- Edition:
- 1st ed. 2021.
- Place of Publication:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2021.
- System Details:
- Mode of access: World Wide Web.
- 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 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.
- Contents:
- 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.
- Notes:
- Includes bibliographical references.
- ISBN:
- 981-16-0626-9
- OCLC:
- 1265465098
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