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＜電子ブック＞
Delay Differential Equations and Applications to Biology / by Fathalla A. Rihan
(Forum for Interdisciplinary Mathematics. ISSN:23646756)

版	1st ed. 2021.
出版者	Singapore : Springer Nature Singapore : Imprint: Springer
出版年	2021
本文言語	英語
大きさ	XVII, 286 p. 84 illus., 62 illus. in color : online resource
著者標目	*Rihan, Fathalla A author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Integral equations FREE:Differential Equations FREE:Integral Equations
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-981-16-0626-7

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