Asymptotic and transient analysis of stochastic core ecosystem models.
Gard, Thomas C. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gard, Thomas C. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Paul G. Higgs (2008)
Banach Center Publications
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Population geneticists study the variability of gene sequences within a species, whereas phylogeneticists compare gene sequences between species and usually have only one representative sequence per species. Stochastic models in population genetics are used to determine probability distributions for gene frequencies and to predict the probability that a new mutation will become fixed in a population. Stochastic models in phylogenetics describe the substitution process in the single sequence...
Fan, Dejun, Wang, Ke, Hong, Ling (2009)
Mathematical Problems in Engineering
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Lakshmi, B.S. (2010)
The Journal of Nonlinear Sciences and its Applications
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W. Klonecki (1964)
Colloquium Mathematicae
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Cao, Yulin, Gard, Thomas C. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Li, Zhan, Shuai, Zhisheng, Wang, Ke (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Saha, Tapan, Bandyopadhyay, Malay (2004)
International Journal of Mathematics and Mathematical Sciences
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Sébastien Gaucel, Michel Langlais (2002)
RACSAM
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En esta nota se analizan dos modelos matemáticos deterministas planteados en problemas ecológicos causados por la introducción de nuevas especies en ambientes insulares heterogéneos. En el primero desarrollamos un modelo epidemológico con transmisión indirecta del virus por medio del ambiente. En el segundo se introduce un modelo específico de depredador-presa que exhibe la extinción en tiempo finito de las especies. Ambos modelos involucran sistemas de ecuaciones en derivadas parciales...
L. Sanz, J. A. Alonso (2010)
Mathematical Modelling of Natural Phenomena
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Approximate aggregation techniques consist of introducing certain approximations that allow one to reduce a complex system involving many coupled variables obtaining a simpler ʽʽaggregated systemʼʼ governed by a few variables. Moreover, they give results that allow one to extract information about the complex original system in terms of the behavior of the reduced one. Often, the feature that allows one to carry out such a reduction is the ...
Ellen Baake, Robert Bialowons (2008)
Banach Center Publications
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We consider two versions of stochastic population models with mutation and selection. The first approach relies on a multitype branching process; here, individuals reproduce and change type (i.e., mutate) independently of each other, without restriction on population size. We analyse the equilibrium behaviour of this model, both in the forward and in the backward direction of time; the backward point of view emerges if the ancestry of individuals chosen randomly from the present population...