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Published by Springer International Publishing AG, Cham, 2016
ISBN 10: 3319303260 ISBN 13: 9783319303260
Language: English
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Paperback. Condition: new. Paperback. This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications.Etienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Published by Springer, 2016
Language: English
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Add to basketPaperback. Condition: Brand New. 125 pages. 9.25x6.25x0.75 inches. In Stock.
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Published by Springer International Publishing, 2016
ISBN 10: 3319303260 ISBN 13: 9783319303260
Language: English
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This expositorybook presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The authorincludes both models of finite populations, and limiting models as the size of the population tends to infinity.The size of the population is describedas a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such apopulation is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications.Étienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud.
Published by Springer International Publishing Jun 2016, 2016
ISBN 10: 3319303260 ISBN 13: 9783319303260
Language: English
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This expositorybook presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The authorincludes both models of finite populations, and limiting models as the size of the population tends to infinity.The size of the population is describedas a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such apopulation is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications.Étienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud. 136 pp. Englisch.
Published by Springer International Publishing, 2016
ISBN 10: 3319303260 ISBN 13: 9783319303260
Language: English
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Add to basketCondition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes deep mathematical notions in connection with motivating applicationsSuitable for graduate students and researchers in mathematical biologyCo-published jointly with Mathematical Biosciences Institute.
Published by Springer International Publishing, Springer Nature Switzerland Jun 2016, 2016
ISBN 10: 3319303260 ISBN 13: 9783319303260
Language: English
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 136 pp. Englisch.