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Population biology --- Differential equations, Partial --- Mathematical models --- Differential equations, Partial. --- Mathematical models. --- Population biology - Mathematical models

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"This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems. Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. Exciting new techniques are currently being developed to meet this challenge, such as generalized or structural modeling, adaptive dynamics or multiplicative processes. Many of these new techniques stem from the field of nonlinear dynamics and chaos theory, where even the simplest mathematical rule can generate a rich variety of dynamical behaviors that bear a strong analogy to biological populations."

Population biology --- Ecology --- Epidemiology --- Genetics --- Biomathematics --- Mathematical models. --- Mathematical models --- mathematical models --- Population biology - Mathematical models --- Ecology - Mathematical models --- Epidemiology - mathematical models --- Genetics - Mathematical models

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Fishery management --- Population biology --- Wildlife management --- Renewable natural resources --- Mathematical models --- Management --- Fishery management - Mathematical models --- Population biology - Mathematical models --- Wildlife management - Mathematical models --- Renewable natural resources - Management - Mathematical models

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Population biology --- Ecology --- Mathematical models --- Mathematics --- mathematical models --- Biologie des populations --- Ecologie --- Environnement --- Modèles mathématiques --- Mathématiques --- Mathematics. --- Population biology - Mathematical models --- Ecology - Mathematical models --- Population biology - Mathematics --- Ecology - Mathematics --- Mathematical models.

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Until fairly recently, populations were handled as homogenized averages, which made modeling feasible but which ignored the essential fact that in any population there is a great variety of individuals of different ages, sizes, and degrees of fitness. Recently, because of the increased availability of affordable computer power, approaches have been developed which are able to recognize individual differences. Individual-based models are of great use in the areas of aquatic ecology, terrestrial ecology, landscape or physiological ecology, terrestrial ecology, landscape or physiological ecology, and agriculture.This book discusses which biological problems individual-based models can solve, as well as the models' inherent limitations. It explores likely future directions of theoretical development in these models, as well as currently feasible management applications and the best mathematical approaches and computer languages to use. The book also details specific applications to theory and management.

Population biology - Mathematical models - Congresses. --- Biotic communities - Mathematical models - Congresses. --- Ecology - Mathematical models - Congresses. --- Population biology - Research - Methodology - Congresses. --- Biotic communities - Research - Methodology - Congresses. --- Ecology - Research - Methodology - Congresses. --- Biotic communities --- Ecology --- Population biology --- Mathematical models --- Congresses. --- Research --- Methodology