Delay Differential Equations and Applications to Biology
Buch in deiner Nähe kaufen
Beschreibung
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 new edition introduces advanced numerical techniques for solving pantograph-type DDEs, including stability analyses. The book also integrates recent research on stochastic models of DDEs, particularly from the fields of immunology and cancer modeling. In addition, the book includes updated case studies from biological and medical sciences, such as glucose-insulin interaction models and infectious disease dynamics. This book is particularly valuable to mathematicians, researchers, and professionals in the fields of mathematical biology, life sciences, immunology, and epidemiology.
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 new edition introduces advanced numerical techniques for solving pantograph-type DDEs, including stability analyses. The book also integrates recent research on stochastic models of DDEs, particularly from the fields of immunology and cancer modeling. In addition, the book includes updated case studies from biological and medical sciences, such as glucose-insulin interaction models and infectious disease dynamics. This book is particularly valuable to mathematicians, researchers, and professionals in the fields of mathematical biology, life sciences, immunology, and epidemiology.
Discusses topics in delay differential equations, including theory, numerical methods, stability, control, and biology Combines both qualitative and quantitative features of delay differential equations with real-life problems Provides interesting applications in infectious diseases, including COVID-19, and glucose-insulin regulation
Autor*in
Fathalla A. Rihan
Themen in »Delay Differential Equations and Applications to Biology«
delay differential equations stability Lyapunov functional continuous RK methods time-delays mathematical modelling continuous RK schemes parameter estimations sensitivity infectious diseases cell proliferations least squares approach immunology HIV COVID-19