Bifurcations and Early-Warning Signs for SPDEs with Spatial Heterogeneity

Schizophrenia: early warning signs

Max Birchwood is Director of the Early Intervention Service (Harry Watton House, 97 Church Lane, Aston, Birmingham B6 5UG) and Director of Research and Development of Northern Birmingham Mental Health NHS Trust. He is also a Research Professor at the School of Psychology, University of Birmingham. Elizabeth Spencer is a senior clinical medical officer working in Northern Birmingham Mental Healt...

Early Warning Signs in Social-Ecological Networks

A number of social-ecological systems exhibit complex behaviour associated with nonlinearities, bifurcations, and interaction with stochastic drivers. These systems are often prone to abrupt and unexpected instabilities and state shifts that emerge as a discontinuous response to gradual changes in environmental drivers. Predicting such behaviours is crucial to the prevention of or preparation f...

Early warning signs for saddle-escape transitions in complex networks

Many real world systems are at risk of undergoing critical transitions, leading to sudden qualitative and sometimes irreversible regime shifts. The development of early warning signals is recognized as a major challenge. Recent progress builds on a mathematical framework in which a real-world system is described by a low-dimensional equation system with a small number of key variables, where th...

Title : Early warning signs in social - ecological networks 1

Title : Early warning signs in social - ecological networks

17 A number of social-ecological systems exhibit complex behaviour associated with nonlinearities, 18 bifurcations, and interaction with stochastic drivers. These systems are often prone to abrupt 19 and unexpected instabilities and state shifts that emerge as a discontinuous response to gradual 20 changes in environmental drivers. Predicting such behaviours is crucial to the prevention of or 2...