Delay Differential Equations and Applications to Biology

Author:   Fathalla A. Rihan
Publisher:   Springer Verlag, Singapore
Edition:   1st ed. 2021
ISBN:  

9789811606281


Pages:   286
Publication Date:   21 August 2022
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Delay Differential Equations and Applications to Biology


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Author:   Fathalla A. Rihan
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2021
Weight:   0.468kg
ISBN:  

9789811606281


ISBN 10:   9811606285
Pages:   286
Publication Date:   21 August 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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.

Reviews

The author provides extensive references for each chapter ... . It offers a breadth of ideas and approaches that could be fertile ground for further research. (Bill Satzer, MAA Reviews, December 12, 2021)


“The author provides extensive references for each chapter … . It offers a breadth of ideas and approaches that could be fertile ground for further research.” (Bill Satzer, MAA Reviews, December 12, 2021)


Author Information

FATHALLA A. RIHAN is Professor of Mathematics at the United Arab Emirates University, UAE, and Helwan University, Egypt. He received his D. Sc. in 2018 from the National University of Uzbekistan, Uzbekistan, in “Features of Delay Differential Equations and Their Application” and completed his Ph.D. in “Numerical Treatment of Delay Differential Equations in Biosciences” from the School of Mathematics, The University of Manchester, UK, in 2000. His research interests include numerical analysis, mathematical biology, mathematical modelling of real-life phenomena with memory (cell division, population dynamics, infectious diseases, etc.), parameter estimation, sensitivity analysis, qualitative and quantitative analysis of delay differential equations. He has published a considerable number of research articles in highly impacted journals and participated in more than 100 international conferences. He is also on the editorial board of many international journals and is a reviewer and member of American Mathematical Society. He has supervised several PhD students and is the principal investigator of many research projects. With an experience of more than 30 years of teaching mathematics to undergraduate and graduate students, Dr. Rihan is an expert in quality assurance and accreditation of higher education institutes.

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