Delay Differential Equations and Applications to Biology (eBook)

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.

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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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.