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The vast majority of random processes in the real world have no memory - the next step in their development depends purely on their current state. Stochastic realizations are therefore defined purely in terms of successive event-time pairs, and such systems are easy to simulate irrespective of their degree of complexity. However, whilst the associated probability equations are straightforward to write down, their solution usually requires the use of approximation and perturbation

This volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include birth-death and logistic processes, competition and predator-prey relationships, chaos, reaction time-delays, fluctuating environments, spatial systems, velocities of spread, epidemics, and spatial branching structures. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.

Eric Barthalon applies the neglected theory of psychological time and memory decay of Nobel PrizeÐwinning economist Maurice Allais (1911Ð2010) to model investorsÕ psychology in the present context of recurrent financial crises. Shaped by the behavior of the demand for money during episodes of hyperinflation, AllaisÕs theory proves economic agents perceive the flow of clocksÕ time and forget the past at a context-dependent pace: rapidly in the presence of persistent and accelerating inflation and slowly in the event of the opposite situation. Barthalon recasts AllaisÕs work as a general theory of ÒexpectationsÓ under uncertainty, closing the gap between economic theory and investorsÕ behavior. Barthalon extends AllaisÕs theory to the field of financial instability, demonstrating its relevance to nominal interest rates in a variety of empirical scenarios and the positive nonlinear feedback that exists between asset price inflation and the demand for risky assets. Reviewing the works of the leading protagonists in the expectations controversy, Barthalon exposes the limitations of adaptive and rational expectations models and, by means of the perceived risk of loss, calls attention to the speculative bubbles that lacked the positive displacement discussed in KindlebergerÕs model of financial crises. He ultimately extrapolates Allaisian theory into a pragmatic approach to investor behavior and the natural instability of financial markets. He concludes with the policy implications for governments and regulators. Balanced and coherent, this book will be invaluable to researchers working in macreconomics, financial economics, behavioral finance, decision theory, and the history of economic thought.

Indusrialisation and Society provides an essential introduction to the effects of industrialisation on British society, from Queen Victoria's reign to the birth of the welfare state in the 1940s. This book deals with the remarkable social consequences of the industrial revolution, as Britain changed into an urban society based on industry. As the first nation to undergo an industrial revolution, Britain was also the first to deal with the unprecedented social problems of rapid urbanisation combined with an unparalleled growth in population. Industrialisation and Society looks at contemporary ways in which the government and ordinary people tried to cope with these new pressures, and studies their reactions to the unforseen consequences of the steam revolution. In particular, this indispensable book considers: * the Victorian inheritance * Edwardian England and the Liberal reforms * the two world wars * the Welfare State.

This new review textbook, written by residents and an experienced faculty member from Cleveland Clinic, is designed to ensure success on all sorts of standardized neurology examinations. Presented in a comprehensive question-and-answer format, with detailed rationales, Comprehensive Review in Clinical Neurology is a must-have for both aspiring and practicing neurologists and psychiatrists preparation to take the RITE, the American Board of Psychiatry and Neurology written exams, and various recertification exams.

Unraveling the stereotype that men’s friendships are unemotional and shallow, this book provides the first detailed account of the bromance that exists among young men. Drawing on one year of ethnography and 20 in-depth interviews among a university sport team, the authors show that these men reject traditional masculine boundaries, instead prioritizing an emotional and tactile form of friendship. Chapters detail the cultural shift in society’s views on bromances, showing that bromances exists as an elevated, more emotional and intimate form of friendship, existing as a further positive consequence of decreasing cultural homophobia. By focusing on sport—which has traditionally been seen as a homophobic environment with toxic constructions of manhood—the authors show that even in the most traditionally masculine of settings, young men are rethinking what male friendship looks like, what it means to be a man, and the positive impact this can have on their mental health. This book will be relevant to a number of audiences including scholars and students in masculinity studies, queer studies, and friendship studies; LGBTQ+ activists and allies with interest in straight men’s friendships and sports cultures; and men’s mental health advocates.

Discrete phenomena are an important aspect of various complex systems, acting both as underlying driving mechanisms and as manifestations of diverse behaviours. However, the characterisation of these discrete phenomena requires models that go beyond those featured in existing books. Largely concerned with mathematical models used to describe time-varying populations and series of events, The Dynamics of Discrete Populations and Series of Events demonstrates how analytical tools are used to develop, simulate, and solve discrete stochastic models. It provides an understanding of the effect of the competing processes governing the changing number of individuals present in a population, and shows how relatively simple models can be used to generate a wide range of behaviours.

Public Law Text, Cases, and Materials explores how the law works in practice. The key institutions, legal principles, and conventions that underpin the public law of the UK are brought to life through the inclusion of extracts from key sources, which are explained and critiqued by the authors.

Mucosal Health in Aquaculture is an essential reference on mucosal health for the diverse aquaculture community. Rich in explanatory figures and schematics, the book includes important concepts such as structural and cellular composition of mucosal surfaces in fish and shellfish, known functional roles of molecular and cellular actors during pathogen invasion, impacts of nutrition on the mucosal barriers, impacts of chemical treatments on mucosal surfaces, mucosal vaccines and vaccination strategies, and more. The health of cultured aquaculture species is critical in establishing the sustainable growth of the aquaculture industry worldwide, and mucosal health is of particular interest to those working in aquaculture because mucosal surfaces (skin, gill, intestine, reproductive tissues) constitute the first line of defense against pathogen invasion. Mucosal Health in Aquaculture captures the latest research on mucosal barriers in aquaculture species and their impacts on nutrition and immunity to ensure sustainable aquaculture development. - Includes research case studies to exhibit the importance of various integrated approaches to mucosal health - Examines the latest scientific methods and technologies to maximize efficiencies for healthy fish production for farming - Brings together the latest knowledge and research on mucosal barriers and mechanisms from world-wide experts in mucosal health - Utilizes detailed diagrams and figures to enhance comprehension

First published in 1995, this book provides a readable survey of the three major forms of working-class self-help in nineteenth century England: the trade unions, the friendly societies and the co-operative movement. It is accessible to an introductory student readership as well as providing a critical appraisal of all types and forms of self-help available to the industrial working-class. Unlike former studies, the author examines trade unionism alongside friendly societies and the co-operative movement and shows how each developed in response to the challenge of industrialization and the demands of urban industrial life. The strengths and limitations of self-help approaches are assessed and wider issues of working-class culture and identity are examined. This book will be of interest to those studying the history of social welfare, class and industrial Britain.