Mathematical Modelling and Analysis of Infectious Diseases

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

  Presents mathematical models that describe population prevalence or incidence of infectious diseases Provides tools and techniques to analyse data on the incidence of infectious diseases Includes a dynamical analysis and control strategies for infectious diseases

  Autorentext
  Hemen Dutta is a faculty member in the Department of Mathematics at Gauhati University, India. He holds a Master of Science in Mathematics, Postgraduate Diploma in Computer Application, M.Phil. in Mathematics and Ph.D. in Mathematics. His research focuses on mathematical analysis and mathematical modelling, and he has published over 130 papers in journals, book chapters and conference proceedings papers. He has also published 17 books, including textbooks, reference books, edited volumes and conference proceedings. He has organised and been involved in several academic events.
  Khalid Hattaf is currently an Associate Professor at Centre Régional des Métiers de l'Education et de la Formation (CRMEF), Casablanca, Morocco. He completed his Ph.D. in Mathematics and Computer Science at Hassan II University of Casablanca, Morocco. His research interests include mathematical modelling in virology, epidemiology, ecology and economy. He is also interested in mathematics education, including probability teaching, ICT and teaching of mathematics, and modelling and simulation in teaching and learning of mathematics. He has published 8 book chapters and more than 60 papers in respected international journals.

  Inhalt
  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.