Mathematical modelling and analysis of infectious diseases
著者
書誌事項
Mathematical modelling and analysis of infectious diseases
（Studies in systems, decision and control / series editor Janusz Kacprzyk, v. 302）
Springer, c2020
- : hardcover
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book discusses significant research and study topics related to mathematical modelling and analysis of infectious diseases. It includes several models and modelling approaches with different aims, such as identifying and analysing causes of occurrence and re-occurrence, causes of spreading, treatments and control strategies. A valuable resource for researchers, students, educators, scientists, professionals and practitioners interested in gaining insights into various aspects of infectious diseases using mathematical modelling and mathematical analysis, the book will also appeal to general readers wanting to understand the dynamics of various diseases and related issues.
Key Features
Mathematical models that describe population prevalence or incidence of infectious diseases
Mathematical tools and techniques to analyse data on the incidence of infectious diseases
Early detection and risk estimate models of infectious diseases
Mathematical models that describe the transmission of infectious diseases and analyse data
Dynamical analysis and control strategies for infectious diseases
Studies comparing the utility of particular models in describing infected diseases-related issues such as social, health and economic
目次
Pathogen Evolution when Transmission and Virulence are Stochastic.- On the relationship between the basic reproduction number and the shape of the spatial domain.- Cause and Control strategy for infectious diseases with nonlinear incidence and treatment rate.- Global stability of a delay virus dynamics model with mitotic transmission and cure rate.- Dynamics of a fractional-order hepatitis B epidemic model and its solutions by nonstandard numerical schemes On SICA models for HIV transmission.- Analytical and numerical solutions of a TB-HIV/AIDS co-infection model via fractional derivatives without singular kernel.
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