I.Z. Kiss: Prof. Kiss is a Professor of Network Science at the Network Science Institute within Northeastern University London with his research at the interface of epidemiology, network science, stochastic processes and dynamical systems. His work focuses on modeling and analysis of stochastic processes on static, dynamic and higher-order networks. His research combines mathematical depth with practical impact, advancing both fundamental understanding and applied solutions across domains from public health to technology.J.C. Miller: A/Prof. Miller is an Associate Professor in the Department of Mathematical and Physical Sciences and a member of the Australian Centre for Artificial Intelligence in Medical Innovation at La Trobe University in Melbourne.  Previously he was a Senior Research Scientist at the Institute for Disease Modeling in Seattle.  His research interests include dynamics of infectious diseases, stochastic processes on networks, and algorithm development for stochastic simulations. G.A. Rempala.  Prof. Rempala is Professor of Biostatistics and Mathematics at The Ohio State University, USA. His research lies at the interface of applied probability, stochastic processes, and mathematical biology. He is particularly interested in modelling and analysis of complex dynamical systems arising in epidemiology and network science. His work combines theoretical and computational approaches to understand how structure and randomness influence the behaviour of biological and social systems.P.L. Simon: Prof. Simon is a Professor at the Institute of Mathematics, Eötvös Loránd University, Budapest. He is a member of the Numerical Analysis and Large Networks research group. His research interests include dynamical systems, partial differential equations and their applications in chemistry and biology. His work focuses on the modeling and analysis of network processes using differential equations.

• Preface.- ​Introduction to Networks and Diseases.- Exact Propagation Models: Top Down.- Exact Propagation Models: Bottom-Up.- Mean-Field Approximations for Heterogeneous Networks.- Percolation-Based Approaches for Disease Modelling.- Hierarchies of SIR Models.- Dynamic and Adaptive Networks.- Non-Markovian Epidemics.- PDE Limits for Large Networks.- Disease Spread in Networks with Large-scale Structure.- Appendix: Stochastic Simulation.- Index.

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I.Z. Kiss: Prof. Kiss is a Professor of Network Science at the Network Science Institute within Northeastern University London with his research at the interface of epidemiology, network science, stochastic processes and dynamical systems. His work focuses on modeling and analysis of stochastic processes on static, dynamic and higher-order networks. His research combines mathematical depth with practical impact, advancing both fundamental understanding and applied solutions across domains from public health to technology.J.C. Miller: A/Prof. Miller is an Associate Professor in the Department of Mathematical and Physical Sciences and a member of the Australian Centre for Artificial Intelligence in Medical Innovation at La Trobe University in Melbourne.  Previously he was a Senior Research Scientist at the Institute for Disease Modeling in Seattle.  His research interests include dynamics of infectious diseases, stochastic processes on networks, and algorithm development for stochastic simulations. G.A. Rempala.  Prof. Rempala is Professor of Biostatistics and Mathematics at The Ohio State University, USA. His research lies at the interface of applied probability, stochastic processes, and mathematical biology. He is particularly interested in modelling and analysis of complex dynamical systems arising in epidemiology and network science. His work combines theoretical and computational approaches to understand how structure and randomness influence the behaviour of biological and social systems.P.L. Simon: Prof. Simon is a Professor at the Institute of Mathematics, Eötvös Loránd University, Budapest. He is a member of the Numerical Analysis and Large Networks research group. His research interests include dynamical systems, partial differential equations and their applications in chemistry and biology. His work focuses on the modeling and analysis of network processes using differential equations.

• Preface.- ​Introduction to Networks and Diseases.- Exact Propagation Models: Top Down.- Exact Propagation Models: Bottom-Up.- Mean-Field Approximations for Heterogeneous Networks.- Percolation-Based Approaches for Disease Modelling.- Hierarchies of SIR Models.- Dynamic and Adaptive Networks.- Non-Markovian Epidemics.- PDE Limits for Large Networks.- Disease Spread in Networks with Large-scale Structure.- Appendix: Stochastic Simulation.- Index.

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I.Z. Kiss: Prof. Kiss is a Professor of Network Science at the Network Science Institute within Northeastern University London with his research at the interface of epidemiology, network science, stochastic processes and dynamical systems. His work focuses on modeling and analysis of stochastic processes on static, dynamic and higher-order networks. His research combines mathematical depth with practical impact, advancing both fundamental understanding and applied solutions across domains from public health to technology.J.C. Miller: A/Prof. Miller is an Associate Professor in the Department of Mathematical and Physical Sciences and a member of the Australian Centre for Artificial Intelligence in Medical Innovation at La Trobe University in Melbourne.  Previously he was a Senior Research Scientist at the Institute for Disease Modeling in Seattle.  His research interests include dynamics of infectious diseases, stochastic processes on networks, and algorithm development for stochastic simulations. G.A. Rempala.  Prof. Rempala is Professor of Biostatistics and Mathematics at The Ohio State University, USA. His research lies at the interface of applied probability, stochastic processes, and mathematical biology. He is particularly interested in modelling and analysis of complex dynamical systems arising in epidemiology and network science. His work combines theoretical and computational approaches to understand how structure and randomness influence the behaviour of biological and social systems.P.L. Simon: Prof. Simon is a Professor at the Institute of Mathematics, Eötvös Loránd University, Budapest. He is a member of the Numerical Analysis and Large Networks research group. His research interests include dynamical systems, partial differential equations and their applications in chemistry and biology. His work focuses on the modeling and analysis of network processes using differential equations.

• Preface.- ​Introduction to Networks and Diseases.- Exact Propagation Models: Top Down.- Exact Propagation Models: Bottom-Up.- Mean-Field Approximations for Heterogeneous Networks.- Percolation-Based Approaches for Disease Modelling.- Hierarchies of SIR Models.- Dynamic and Adaptive Networks.- Non-Markovian Epidemics.- PDE Limits for Large Networks.- Disease Spread in Networks with Large-scale Structure.- Appendix: Stochastic Simulation.- Index.

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