Special Issue: Advances in Mathematical Population Dynamics and Ecology

Special Issue: Advances in Mathematical Population Dynamics and Ecology PDF Author: Sergei Petrovskii
Publisher:
ISBN:
Category :
Languages : en
Pages : 259

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Special Issue: Advances in Mathematical Population Dynamics and Ecology

Special Issue: Advances in Mathematical Population Dynamics and Ecology PDF Author: Sergei Petrovskii
Publisher:
ISBN:
Category :
Languages : en
Pages : 259

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Progress in Mathematical Ecology

Progress in Mathematical Ecology PDF Author: Sergei Petrovskii
Publisher: MDPI
ISBN: 3038973122
Category : Electronic books
Languages : en
Pages : 215

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This book is a printed edition of the Special Issue "Progress in Mathematical Ecology" that was published in Mathematics

Special Issue: Progress in Mathematical Population Dynamics and Ecology

Special Issue: Progress in Mathematical Population Dynamics and Ecology PDF Author: Luiz Alberto
Publisher:
ISBN:
Category :
Languages : en
Pages : 95

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Progress in Mathematical Ecology

Progress in Mathematical Ecology PDF Author: Sergeĭ Petrovskiĭ
Publisher:
ISBN: 9783038973133
Category :
Languages : en
Pages :

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Mathematical ecology is an area of applied mathematics concerned with the application of mathematical concepts, tools and techniques, usually in the form of mathematical models, to problems arising in population dynamics, ecology and evolution. This Special Issue is designed to provide a snapshot of the state of the art in mathematical ecology. Topics of interest are (in no particular order) biological invasions, biological control, ecological pattern formation, ecologically relevant multiscale models, food webs, individual movement and dispersal, eco-epidemiology, evolutionary ecology, agroecosystems, regime shifts and early warning signals, synchronization and chaos. The list is inclusive rather than exclusive, and a few other relevant topics will also be considered.

Partial Differential Equations in Ecology

Partial Differential Equations in Ecology PDF Author: Sergei Petrovski
Publisher: MDPI
ISBN: 3036502963
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has even become broader. This volume presents a collection of case studies where applications range from bacterial systems to population dynamics of human riots.

Advances in Dynamic Games

Advances in Dynamic Games PDF Author: Michèle Breton
Publisher: Springer Science & Business Media
ISBN: 0817680896
Category : Mathematics
Languages : en
Pages : 581

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Book Description
This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. The selected contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 13th International Symposium of Dynamic Games and Applications held in Wrocław. The book covers a variety of topics, ranging from theoretical developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as environmental management, finance and economics, engineering, guidance and control, and social interaction.

Complex Population Dynamics

Complex Population Dynamics PDF Author: Peter Turchin
Publisher: Princeton University Press
ISBN: 1400847281
Category : Science
Languages : en
Pages : 471

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Book Description
Why do organisms become extremely abundant one year and then seem to disappear a few years later? Why do population outbreaks in particular species happen more or less regularly in certain locations, but only irregularly (or never at all) in other locations? Complex population dynamics have fascinated biologists for decades. By bringing together mathematical models, statistical analyses, and field experiments, this book offers a comprehensive new synthesis of the theory of population oscillations. Peter Turchin first reviews the conceptual tools that ecologists use to investigate population oscillations, introducing population modeling and the statistical analysis of time series data. He then provides an in-depth discussion of several case studies--including the larch budmoth, southern pine beetle, red grouse, voles and lemmings, snowshoe hare, and ungulates--to develop a new analysis of the mechanisms that drive population oscillations in nature. Through such work, the author argues, ecologists can develop general laws of population dynamics that will help turn ecology into a truly quantitative and predictive science. Complex Population Dynamics integrates theoretical and empirical studies into a major new synthesis of current knowledge about population dynamics. It is also a pioneering work that sets the course for ecology's future as a predictive science.

Sensitivity Analysis: Matrix Methods in Demography and Ecology

Sensitivity Analysis: Matrix Methods in Demography and Ecology PDF Author: Hal Caswell
Publisher: Springer
ISBN: 3030105342
Category : Social Science
Languages : en
Pages : 308

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Book Description
This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.

Mathematical Models in Population Biology and Epidemiology

Mathematical Models in Population Biology and Epidemiology PDF Author: Fred Brauer
Publisher: Springer Science & Business Media
ISBN: 1461416868
Category : Mathematics
Languages : en
Pages : 522

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Book Description
The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Current Advances in Ecological & Environmental Sciences

Current Advances in Ecological & Environmental Sciences PDF Author:
Publisher:
ISBN:
Category : Ecology
Languages : en
Pages : 598

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