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
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Techn.
Dateigröße
ISBN-13
978-0-323-90458-2 (9780323904582)
Schweitzer Klassifikation
1. Spatiotemporal Dynamics Of The First Wave Of The Covid-19 Epidemic In Brazil2. Transport And Optimal Control Of Vaccination Dynamics For Covid-193. COVID-19's Pandemic: A New Way Of Thinking Through Linear Combinations Of Proportions4. Stochastic Sica Epidemic Model With Jump L\'Evy Processes5. Examining The Correlation Between The Weather Conditions And Covid-19 Pandemic In Galicia6. A Fractional-Order Malaria Model With Temporary Immunity7. Parameter Identification In Epidemiological Models8. Lyapunov Functions And Stability Analysis Of Fractional-Order Systems9. Some Key Concepts Of Mathematical Epidemiology10. Analytical Solutions And Parameter Estimation Of The Sir Epidemic Model11. Global Stability of a Diffusive SEIR Epidemic Model with Distributed Delay12. Application Of Fractional Order Differential Equations In Modeling Viral Disease Transmission13. Role Of Immune Effector Responses During Hcv Infection: A Mathematical Study14. Modeling The Impact Of Isolation During An Outbreak Of Ebola Virus Disease15. Application Of The Stochastic Arithmetic To Validate The Results Of Nonlinear Fractional Model Of Hiv Infection For Cd8+T-Cells16. Existence Of Solutions Of Modified Fractional Integral Equation Models For Endemic Infectious Diseases17. Numerical solution of a fractional epidemic model via general Lagrange scaling functions with bibliometric analysis
