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This book includes papers in cross-disciplinary applications of mathematical modelling: from medicine to linguistics, social problems, and more. Based on cutting-edge research, each chapter is focused on a different problem of modelling human behaviour or engineering problems at different levels. The reader would find this book to be a useful reference in identifying problems of interest in social, medicine and engineering sciences, and in developing mathematical models that could be used to successfully predict behaviours and obtain practical information for specialised practitioners. This book is a must-read for anyone interested in the new developments of applied mathematics in connection with epidemics, medical modelling, social issues, random differential equations and numerical methods.

human behaviour --- organisational risk --- multi-criteria decision-making --- DEMATEL --- bottling process --- cellular automata --- game of life --- brain dynamics --- random non-autonomous second order linear differential equation --- mean square analytic solution --- random power series --- uncertainty quantification --- systems of nonlinear equations --- iterative methods --- Newton’s method --- order of convergence --- computational efficiency --- basin of attraction --- F-110 frigate --- decision-making --- ASW --- anti-torpedo decoy --- AHP --- uncertainty modelling --- Chikungunya disease --- mathematical modeling --- nonlinear dynamical systems --- numerical simulations --- parameter estimation --- Markov chain Monte Carlo --- block preconditioner --- generalized eigenvalue problem --- neutron diffusion equation --- modified block Newton method --- bone repair --- macrophages --- immune system --- cytokines --- stem cells --- exponential polynomial --- discrete dynamical systems --- convergence --- Hidden Markov models --- mathematical linguistics --- Voynich Manuscript --- IPV --- violence index --- independence index --- model --- ode