Literature DB >> 21076833

On selection dynamics for competitive interactions.

Pierre-Emmanuel Jabin1, Gaël Raoul.   

Abstract

In this paper, we are interested in an integro-differential model that describe the evolution of a population structured with respect to a continuous trait. Under some assumption, we are able to find an entropy for the system, and show that some steady solutions are globally stable. The stability conditions we find are coherent with those of Adaptive Dynamics. © Springer-Verlag 2010

Mesh:

Year:  2010        PMID: 21076833     DOI: 10.1007/s00285-010-0370-8

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  13 in total

1.  Steady-state analysis of structured population models.

Authors:  O Diekmann; M Gyllenberg; J A J Metz
Journal:  Theor Popul Biol       Date:  2003-06       Impact factor: 1.570

2.  Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynamics.

Authors:  Angel Calsina; Sílvia Cuadrado
Journal:  J Math Biol       Date:  2003-08-20       Impact factor: 2.259

3.  On the impossibility of coexistence of infinitely many strategies.

Authors:  Mats Gyllenberg; Géza Meszéna
Journal:  J Math Biol       Date:  2004-12-20       Impact factor: 2.259

4.  The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach.

Authors:  Odo Diekmann; Pierre-Emanuel Jabin; Stéphane Mischler; Benoît Perthame
Journal:  Theor Popul Biol       Date:  2005-06       Impact factor: 1.570

5.  Multimodal pattern formation in phenotype distributions of sexual populations.

Authors:  Michael Doebeli; Hendrik J Blok; Olof Leimar; Ulf Dieckmann
Journal:  Proc Biol Sci       Date:  2007-02-07       Impact factor: 5.349

6.  Species clustering in competitive Lotka-Volterra models.

Authors:  Simone Pigolotti; Cristóbal López; Emilio Hernández-García
Journal:  Phys Rev Lett       Date:  2007-06-18       Impact factor: 9.161

7.  When the exception becomes the rule: the disappearance of limiting similarity in the Lotka-Volterra model.

Authors:  György Barabás; Géza Meszéna
Journal:  J Theor Biol       Date:  2009-01-08       Impact factor: 2.691

8.  The dynamical theory of coevolution: a derivation from stochastic ecological processes.

Authors:  U Dieckmann; R Law
Journal:  J Math Biol       Date:  1996       Impact factor: 2.259

9.  THE EVOLUTIONARILY STABLE PHENOTYPE DISTRIBUTION IN A RANDOM ENVIRONMENT.

Authors:  Akira Sasaki; Stephen Ellner
Journal:  Evolution       Date:  1995-04       Impact factor: 3.694

10.  Species competition: coexistence, exclusion and clustering.

Authors:  Emilio Hernández-García; Cristóbal López; Simone Pigolotti; Ken H Andersen
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2009-08-28       Impact factor: 4.226

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  4 in total

1.  Evolution of species trait through resource competition.

Authors:  Sepideh Mirrahimi; Benoît Perthame; Joe Yuichiro Wakano
Journal:  J Math Biol       Date:  2011-06-22       Impact factor: 2.259

2.  Direct competition results from strong competition for limited resource.

Authors:  Sepideh Mirrahimi; Benoît Perthame; Joe Yuichiro Wakano
Journal:  J Math Biol       Date:  2013-02-26       Impact factor: 2.259

3.  Adaptation to DNA Damage, an Asymptotic Approach for a Cooperative Non-local System.

Authors:  Alexis Léculier; Pierre Roux
Journal:  Acta Appl Math       Date:  2022-06-21       Impact factor: 1.563

4.  Mass concentration in a nonlocal model of clonal selection.

Authors:  J-E Busse; P Gwiazda; A Marciniak-Czochra
Journal:  J Math Biol       Date:  2016-03-03       Impact factor: 2.259

  4 in total

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