Mathematical Modelling and Analysis of Infectious Diseases

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.

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.