Delay differential equations and applications to biology [electronic resource]

• 作者： Rihan, Fathalla A.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Forum for interdisciplinary mathematics.
• 出版： Singapore : Springer Singapore :Imprint: Springer
• 叢書名： Forum for interdisciplinary mathematics,
• 主題： Delay differential equations. , Biomathematics. , Analysis. , Integral Equations.
• ISBN： 9789811606267 (electronic bk.) 、 9789811606250 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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