Mathematical Analysis of Infectious Diseases

Mathematical Analysis of Infectious Diseases provides the most recent and up-to-date developments in the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand the disease progression, but also to provide predictions about the evolution of the disease and insights about the dynamics of the transmission rate and the effectiveness of control measures. One of the main focuses of the book is the transmission dynamics of the infectious diseases like the COVID-19 outbreak and the implementation of intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on the infections with the help of 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. Mathematical Analysis of Infectious Diseases is a helpful resource for epidemiologists, epidemic modelers, virologists, researchers, mathematical modelers, and others engaged in the analysis of the transmission, prevention, and control of infectious diseases and their impact on human health. Offers analytical and numerical techniques for virus models Discusses mathematical modeling and their applications in treating infectious diseases or analyzing their spreading rates Covers the application of differential equations for analyzing disease problems Examines probability distribution and their bio-mathematical applications