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Mathematical Analysis of Infectious Diseases de Praveen Agarwal

Mathematical Analysis of Infectious Diseases

Editat de Praveen Agarwal, Juan J. Nieto, Delfim F.M. Torres
en Limba Engleză Paperback – 8 iun 2022
Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand disease progression, but also to provide predictions about the evolution of disease. One of the main focuses of the book is the transmission dynamics of the infectious diseases like COVID-19 and the intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on infections using compartmental and mathematical models in epidemiology like SI, SIR, SICA, and SEIR.
The book also covers topics like: biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of infectious diseases, mathematical modeling and analysis of diagnosis rate effects and prediction of viruses, data-driven graphical analysis of epidemic trends, dynamic simulation and scenario analysis of the spread of diseases, and the systematic review of the mathematical modeling of infectious disease like coronaviruses.


  • Offers analytical and numerical techniques for virus models
  • Discusses mathematical modeling and its applications in treating infectious diseases or analyzing their spreading rates
  • Covers the application of differential equations for analyzing disease problems
  • Examines probability distribution and bio-mathematical applications
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Specificații

ISBN-13: 9780323905046
ISBN-10: 0323905048
Pagini: 344
Ilustrații: 50 illustrations (20 in full color)
Dimensiuni: 191 x 235 x 22 mm
Greutate: 0.7 kg
Editura: ELSEVIER SCIENCE

Cuprins

1. Spatiotemporal Dynamics Of The First Wave Of The Covid-19 Epidemic In Brazil 2. Transport And Optimal Control Of Vaccination Dynamics For Covid-19 3. COVID-19’s Pandemic: A New Way Of Thinking Through Linear Combinations Of Proportions 4. Stochastic Sica Epidemic Model With Jump L\'Evy Processes 5. Examining The Correlation Between The Weather Conditions And Covid-19 Pandemic In Galicia 6. A Fractional-Order Malaria Model With Temporary Immunity 7. Parameter Identification In Epidemiological Models 8. Lyapunov Functions And Stability Analysis Of Fractional-Order Systems 9. Some Key Concepts Of Mathematical Epidemiology 10. Analytical Solutions And Parameter Estimation Of The Sir Epidemic Model 11. Global Stability of a Diffusive SEIR Epidemic Model with Distributed Delay 12. Application Of Fractional Order Differential Equations In Modeling Viral Disease Transmission 13. Role Of Immune Effector Responses During Hcv Infection: A Mathematical Study 14. Modeling The Impact Of Isolation During An Outbreak Of Ebola Virus Disease 15. Application Of The Stochastic Arithmetic To Validate The Results Of Nonlinear Fractional Model Of Hiv Infection For Cd8+T-Cells 16. Existence Of Solutions Of Modified Fractional Integral Equation Models For Endemic Infectious Diseases 17. Numerical solution of a fractional epidemic model via general Lagrange scaling functions with bibliometric analysis

Recenzii

"...presented as ‘the most recent and up-to-date developments in the mathematical and epidemiological analysis of infectious diseases.’ It is a collection of what look like conference papers, covering a wide variety of infectious diseases modeling topics and approaches…. accessible to audiences with a fair bit of mathematical sophistication…. [S]ome chapters that are more introductory and pedagogical in nature…are very good. Some topics are well covered (e.g., chapters 9 and 10) and others are very interesting applications…." --©Doody’s Review Service, 2023, David N Fisman, MD, MSc (University of Toronto Dalla Lana School of Public Health)