Product Key Features
Number of PagesXvii, 286 Pages
Publication NameDelay Differential Equations and Applications to Biology
LanguageEnglish
Publication Year2022
SubjectDifferential Equations / General, Mathematical Analysis
TypeTextbook
AuthorFathalla A. Rihan
Subject AreaMathematics
SeriesForum for Interdisciplinary Mathematics Ser.
FormatTrade Paperback
Additional Product Features
Dewey Edition23
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)
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal570.151
Table Of ContentPart 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.
SynopsisThis 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.
LC Classification NumberQA370-380