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In recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application points of view. In spite of the technological advances, many authors seem to be unaware of the bulk of the work that has been done in this area recently. This often leads to duplication of work and frustration to the authors as well as to the editors of various journals. This book is built out of lecture notes and consists of three chapters written by four mathematicians with overlapping expertise that cover a broad sector of the research in this area. Each chapter consists of carefully written introductory exposition, main breakthroughs, open questions and bibliographies. The chapters present recent developments on topics involving the dynamic behavior of solutions and topics such as stability theory, permanence, persistence, extinction, existence of positive solutions for the Lotka-Volterra and related systems. This fills a void in the literature, by making available a source book of relevant information on the theory, methods and applications of an important area of research.

Lotka-Volterra equations. --- Population biology --- Predator-prey equations --- Biology --- Differential equations, Nonlinear --- Mathematical models. --- Mathematical models --- Lotka-Volterra System. --- Population Dynamics.

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Most organisms show substantial changes in size or morphology after they become independent of their parents and have to find their own food. Furthermore, the rate at which these changes occur generally depends on the amount of food they ingest. In this book, André de Roos and Lennart Persson advance a synthetic and individual-based theory of the effects of this plastic ontogenetic development on the dynamics of populations and communities. De Roos and Persson show how the effects of ontogenetic development on ecological dynamics critically depend on the efficiency with which differently sized individuals convert food into new biomass. Differences in this efficiency--or ontogenetic asymmetry--lead to bottlenecks in and thus population regulation by either maturation or reproduction. De Roos and Persson investigate the community consequences of these bottlenecks for trophic configurations that vary in the number and type of interacting species and in the degree of ontogenetic niche shifts exhibited by their individuals. They also demonstrate how insights into the effects of maturation and reproduction limitation on community equilibrium carry over to the dynamics of size-structured populations and give rise to different types of cohort-driven cycles. Featuring numerous examples and tests of modeling predictions, this book provides a pioneering and extensive theoretical and empirical treatment of the ecology of ontogenetic growth and development in organisms, emphasizing the importance of an individual-based perspective for understanding population and community dynamics.

Ontogeny. --- Niche (Ecology) --- Animal populations. --- Ontogenesis --- Biology --- Embryology --- Developmental biology --- Microhabitat --- Biotic communities --- Competition (Biology) --- Ecology --- Habitat (Ecology) --- Demography, Wildlife --- Populations, Animal --- Wildlife demography --- Wildlife populations --- Animal ecology --- Population biology --- Niche (Ecology). --- Allee effect. --- Daphnia. --- Escalator Boxcar Train. --- bioenergentics. --- biomass overcompensation. --- cannibalism. --- cladoceran zooplankton. --- coexistence. --- cohort cycles. --- community structure. --- competition. --- consumer life history. --- consumer population. --- consumer-resource dynamics. --- consumer-resource systems. --- demand-driven systems. --- development. --- discrete reproduction. --- ecological dynamics. --- ecology. --- energetics. --- energy gain. --- foraging. --- interspecific competition. --- maturation. --- metabolic rates. --- metabolism. --- morphology. --- mortality. --- niche overlaps. --- ontogenetic asymmetry. --- ontogenetic development. --- ontogenetic diet shifts. --- ontogenetic niche shifts. --- ontogenetic symmetry. --- overcompensation. --- population dynamics. --- population models. --- population regulation. --- predation. --- predator life history. --- predators. --- prey availability. --- prey life history. --- prey. --- reproduction control. --- reproduction. --- resource competition. --- size dependence. --- size-structured prey ecology. --- stage-structured prey. --- supply-driven systems.