Adaptive dynamics: modelling Darwin's divergence principle

Comptes Rendus - Biologies

Volumn 329, Issue 11, 2006, Pages 876-879

  Génieys, Stéphane ^a   Volpert, Vitaly ^a   Auger, Pierre ^b  

^a UNIVERSITÉ LYON 1   (France)

^b INSTITUT DE RECHERCHE POUR LE DÉVELOPPEMENT   (France)

Author keywords

Adaptive dynamics; Darwin's divergence principle; Degenerate competition; Integro differential equation; Self organization

Indexed keywords

EQUATION; EVOLUTIONARY THEORY; NUMERICAL MODEL; SELF ORGANIZATION;

ARTICLE; COMPETITION; CONTROLLED STUDY; ECOLOGY; ENVIRONMENTAL FACTOR; EVOLUTIONARY ADAPTATION; GENETIC POLYMORPHISM; GENETIC VARIABILITY; MATHEMATICAL MODEL; PROBABILITY; SIMULATION;

ADAPTATION, BIOLOGICAL; ALGORITHMS; BIOLOGICAL EVOLUTION; EVOLUTION; MODELS, BIOLOGICAL; MODELS, STATISTICAL;

EID: 33750154037     PISSN: 16310691     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crvi.2006.08.006     Document Type: Article

References (9)

1. Edelman G., and Gally J. Degeneracy and complexity in biological systems. Proc. Natl Acad. Sci. USA 98 24 (2001) 13763-13768
2. Atamas S. Self-organization in computer simulated selective systems. Biosystems 39 (1996) 143-151
3. N. Champagnat, R. Ferrière, S. Méléard, Individual-based probabilistic models of adaptive evolution and various scaling approximations, in: Proc. 5th Seminar on Stochastic Analysis, Random Fields and Applications, Ascona, Switzerland, Probability in Progress Series, Birkhauser, in press
4. Diekman O., Jabin P.E., Mischler S., and Perthame B. The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach. Theor. Popul. Biol. 64 4 (2005) 257-271
5. Turing A. The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond. B 237 (1952) 37-72
6. Darwin C. On the Origin of Species by Means of Natural Selection (1859), John Murray, London
7. S. Génieys, B. Perthame, Dynamic of Fisher concentration points, in preparation
8. Fisher R. The wave of advance of advantageous genes. Ann. Eugen. 7 (1937) 355-369
9. Kolmogorov A.N., Petrovsky I.G., and Piskunov N.S. Étude de l'équation de diffusion avec croissance de la quantité de matière et son application à un problème biologique. Bull. Univ. Etat Mosc., Ser. Int. A 1 (1937) 1-26