Deterministic Stochastic And Thermodynamic Modelling Of Some Interacting Species

Author : Guruprasad Samanta
Publisher : Springer Nature
Page : 188 pages
File Size : 44,8 Mb
Release : 2021-11-24
Category : Mathematics
ISBN : 9789811663123

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Deterministic, Stochastic and Thermodynamic Modelling of some Interacting Species by Guruprasad Samanta Pdf

This book presents the understanding of how the different forms of regulatory mechanisms, like birth and death, competition, consumption and the like, result in changes in the stability and dynamics of ecological systems. It deals with a profound and unique insight into the mathematical richness of basic ecological models. Organised into eight chapters, the book discusses the models of mathematical ecology, the dynamical models of single-species system in a polluted environment, the dynamical behaviour of different nonautonomous two species systems in a polluted environment, the influence of environmental noise in Gompertzian and logistic growth models, stability behaviour in randomly fluctuating versus deterministic environments of two interacting species, stochastic analysis of a demographic model of urbanization and stability behaviour of a social group by means of loop analysis, thermodynamic criteria of stability and stochastic criteria of stability. The book will be useful to the researchers and graduate students who wish to pursue research in mathematical ecology.

Author : Narendra S. Goel,Nira Richter-Dyn
Publisher : Elsevier
Page : 282 pages
File Size : 47,9 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483278100

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Stochastic Models in Biology by Narendra S. Goel,Nira Richter-Dyn Pdf

Stochastic Models in Biology describes the usefulness of the theory of stochastic process in studying biological phenomena. The book describes analysis of biological systems and experiments though probabilistic models rather than deterministic methods. The text reviews the mathematical analyses for modeling different biological systems such as the random processes continuous in time and discrete in state space. The book also discusses population growth and extinction through Malthus' law and the work of MacArthur and Wilson. The text then explains the dynamics of a population of interacting species. The book also addresses population genetics under systematic evolutionary pressures known as deterministic equations and genetic changes in a finite population known as stochastic equations. The text then turns to stochastic modeling of biological systems at the molecular level, particularly the kinetics of biochemical reactions. The book also presents various useful equations such as the differential equation for generating functions for birth and death processes. The text can prove valuable for biochemists, cellular biologists, and researchers in the medical and chemical field who are tasked to perform data analysis.

Author : Sylvie Meleard,Vincent Bansaye
Publisher : Springer
Page : 107 pages
File Size : 48,5 Mb
Release : 2015-09-03
Category : Mathematics
ISBN : 9783319217116

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Stochastic Models for Structured Populations by Sylvie Meleard,Vincent Bansaye Pdf

In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France). Vincent Bansaye and Sylvie Méléard are Professors at Ecole Polytechnique (France). They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.

Author : Darren J. Wilkinson
Publisher : CRC Press
Page : 296 pages
File Size : 54,5 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 1584885408

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Stochastic Modelling for Systems Biology by Darren J. Wilkinson Pdf

Although stochastic kinetic models are increasingly accepted as the best way to represent and simulate genetic and biochemical networks, most researchers in the field have limited knowledge of stochastic process theory. The stochastic processes formalism provides a beautiful, elegant, and coherent foundation for chemical kinetics and there is a wealth of associated theory every bit as powerful and elegant as that for conventional continuous deterministic models. The time is right for an introductory text written from this perspective. Stochastic Modelling for Systems Biology presents an accessible introduction to stochastic modelling using examples that are familiar to systems biology researchers. Focusing on computer simulation, the author examines the use of stochastic processes for modelling biological systems. He provides a comprehensive understanding of stochastic kinetic modelling of biological networks in the systems biology context. The text covers the latest simulation techniques and research material, such as parameter inference, and includes many examples and figures as well as software code in R for various applications. While emphasizing the necessary probabilistic and stochastic methods, the author takes a practical approach, rooting his theoretical development in discussions of the intended application. Written with self-study in mind, the book includes technical chapters that deal with the difficult problems of inference for stochastic kinetic models from experimental data. Providing enough background information to make the subject accessible to the non-specialist, the book integrates a fairly diverse literature into a single convenient and notationally consistent source.

Author : M. H. A. Davis,Richard B. Vinter
Publisher : Springer
Page : 416 pages
File Size : 51,8 Mb
Release : 1985
Category : Juvenile Nonfiction
ISBN : UCAL:B5008624

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Stochastic Modelling and Control by M. H. A. Davis,Richard B. Vinter Pdf

This book aims to provide a unified treatment of input/output modelling and of control for discrete-time dynamical systems subject to random disturbances. The results presented are of wide applica bility in control engineering, operations research, econometric modelling and many other areas. There are two distinct approaches to mathematical modelling of physical systems: a direct analysis of the physical mechanisms that comprise the process, or a 'black box' approach based on analysis of input/output data. The second approach is adopted here, although of course the properties ofthe models we study, which within the limits of linearity are very general, are also relevant to the behaviour of systems represented by such models, however they are arrived at. The type of system we are interested in is a discrete-time or sampled-data system where the relation between input and output is (at least approximately) linear and where additive random dis turbances are also present, so that the behaviour of the system must be investigated by statistical methods. After a preliminary chapter summarizing elements of probability and linear system theory, we introduce in Chapter 2 some general linear stochastic models, both in input/output and state-space form. Chapter 3 concerns filtering theory: estimation of the state of a dynamical system from noisy observations. As well as being an important topic in its own right, filtering theory provides the link, via the so-called innovations representation, between input/output models (as identified by data analysis) and state-space models, as required for much contemporary control theory.

Author : Herbert I. Freedman
Publisher : Unknown
Page : 280 pages
File Size : 45,7 Mb
Release : 1980
Category : Mathematics
ISBN : UCSD:31822010590610

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Deterministic Mathematical Models in Population Ecology by Herbert I. Freedman Pdf

Single-species growth; Pedration and parasitism; Predador-prey systems; Lotka-volterra systems for predator-prey interactions; Intermediate predator-prey models; Continous models; Discrete models; The kolmogorov model; Related topics and applications; Related topics; Aplications; competition and cooperation (symbiosis); Lotka-volterra competition models; Higher-oder competition models; cooperation (symbiosis); Pertubation theory; The implicit function theorem; Existence and Uniqueness of solutions of ordinary differential equations; Stability and periodicity; The poincare-bendixon theorem; The hopf bifurcation theorem.

Author : Carl F Jordan
Publisher : Springer Nature
Page : 383 pages
File Size : 52,6 Mb
Release : 2021-11-26
Category : Science
ISBN : 9783030851866

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Evolution from a Thermodynamic Perspective by Carl F Jordan Pdf

Survival of the fittest” is a tautology, because those that are “fit” are the ones that survive, but to survive, a species must be “fit”. Modern evolutionary theory avoids the problem by defining fitness as reproductive success, but the complexity of life that we see today could not have evolved based on selection that favors only reproductive ability. There is nothing inherent in reproductive success alone that could result in higher forms of life. Evolution from a Thermodynamic Perspective presents a non-circular definition of fitness and a thermodynamic definition of evolution. Fitness means maximization of power output, necessary to survive in a competitive world. Evolution is the “storage of entropy”. “Entropy storage” means that solar energy, instead of dissipating as heat in the Earth, is stored in the structure of living organisms and ecosystems. Part one explains this in terms comprehensible to a scientific audience beyond biophysicists and ecosystem modelers. Part two applies thermodynamic theory in non-esoteric language to sustainability of agriculture, and to conservation of endangered species. While natural systems are stabilized by feedback, agricultural systems remain in a mode of perpetual growth, pressured by balance of trade and by a swelling population. The constraints imposed by thermodynamic laws are being increasingly felt as economic expansion destabilizes resource systems on which expansion depends.

Author : Stefanie Winkelmann,Christof Schütte
Publisher : Springer
Page : 272 pages
File Size : 49,7 Mb
Release : 2021-01-05
Category : Mathematics
ISBN : 3030623866

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Stochastic Dynamics in Computational Biology by Stefanie Winkelmann,Christof Schütte Pdf

The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another main objective is to illustrate and compare diverse numerical simulation schemes and their computational effort. Unlike related works, this book presents a broad scope in its applications, from offering a detailed introduction to hybrid approaches for the case of multiple population scales to discussing the setting of time-scale separation resulting from widely varying firing rates of reaction channels. Additionally, it also addresses modeling approaches for non well-mixed reaction-diffusion dynamics, including deterministic and stochastic PDEs and spatiotemporal master equations. Finally, by translating and incorporating complex theory to a level accessible to non-mathematicians, this book effectively bridges the gap between mathematical research in computational biology and its practical use in biological, biochemical, and biomedical systems.

Author : Anonim
Publisher : Unknown
Page : 716 pages
File Size : 55,5 Mb
Release : 1985
Category : Power resources
ISBN : MSU:31293010868424

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Energy Research Abstracts by Anonim Pdf

Author : Caijun Shi,Qiang Yuan,Fuqiang He,Xiang Hu
Publisher : CRC Press
Page : 250 pages
File Size : 42,6 Mb
Release : 2019-07-26
Category : Technology & Engineering
ISBN : 9780429881978

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Transport and Interactions of Chlorides in Cement-based Materials by Caijun Shi,Qiang Yuan,Fuqiang He,Xiang Hu Pdf

Chloride-induced corrosion is the most important durability issue of reinforced concrete structures, and the prediction and prevention of chloride-induced corrosion has attracted considerable interest all over the world. Given that chloride penetrates through the concrete cover, the issues concerning its transport are crucial. These include testing methods, prediction, and the prevention of ingress. During the transport process, physical and chemical interaction occurs between chloride and cement hydrates, which in turn affects the further transport, so the transport of chloride and these interactions are closely related and underpin our understanding of chloride-induced corrosion in RC structures. This book provides in-depth discussion of chloride transport and its interaction in cement-based materials, and reviews and summarizes the state of the art. The mechanisms and testing methods for chloride transport, chemical interactions of chloride with cement hydrates, chloride binding isotherms, measurement of penetration depths, factors affecting chloride transport, and modeling of chloride transport are discussed in detail. This book serves as a reference for researchers or engineer, and a textbook for graduate students.

Author : L. Arnold,R. Lefever
Publisher : Springer Science & Business Media
Page : 239 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642680380

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Stochastic Nonlinear Systems in Physics, Chemistry, and Biology by L. Arnold,R. Lefever Pdf

This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 5-11, 1980. The workshop brought some 25 physicists, chemists, and biologists - who deal with stochastic phenomena - and about an equal number of mathematicians - who are experts in the theory of stochastic processes - together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and space-time processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure) ............................. .

Author : W.K. Lauenroth,G.V. Skogerboe,M. Flug
Publisher : Elsevier
Page : 995 pages
File Size : 54,5 Mb
Release : 2013-10-22
Category : Science
ISBN : 9780444597656

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Analysis of Ecological Systems: State-of-the-Art in Ecological Modelling by W.K. Lauenroth,G.V. Skogerboe,M. Flug Pdf

The International Society for Ecological Modelling (ISEM) sponsors conferences, workshops and training courses with the aim of advancing the development of ecological and environmental modelling. The 3rd International Conference on the state-of-the-art in ecological modelling was sponsored by the ISEM in cooperation with the National Park Service Water Resources Laboratory and hosted by the Natural Resource Ecology Laboratory at Colorado State University. Its theme was the application of ecological modelling to environmental management and this book contains the full texts of the three invited papers presented in the five general sessions, plus the final summaries and syntheses of the topics covered during those sessions.

Author : Michael Poschl,Leo M.L. Nollet
Publisher : CRC Press
Page : 370 pages
File Size : 55,5 Mb
Release : 2006-08-21
Category : Medical
ISBN : 9781000611625

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Radionuclide Concentrations in Food and the Environment by Michael Poschl,Leo M.L. Nollet Pdf

As radiological residue, both naturally occurring and technologically driven, works its way through the ecosystem, we see its negative effects on the human population. Radionuclide Concentrations in Food and the Environment addresses the key issues concerning the relationship between natural and manmade sources of environmental radioactivity

Author : William Thomas Mason
Publisher : Unknown
Page : 164 pages
File Size : 41,8 Mb
Release : 1978
Category : Aquatic animals
ISBN : UOM:39015086410845

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Methods for the Assessment and Prediction of Mineral Mining Impacts on Aquatic Communities by William Thomas Mason Pdf

Author : Anonim
Publisher : Unknown
Page : 640 pages
File Size : 52,7 Mb
Release : 1974
Category : Computer simulation
ISBN : UOM:39015006420064

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Proceedings of the Summer Computer Simulation Conference by Anonim Pdf