A nonlinear parabolic mixed problem arising in population genetics

Norio Shimakura

Journées équations aux dérivées partielles (1988)

  • page 1-10
  • ISSN: 0752-0360

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Shimakura, Norio. "Un problème mixte non-linéaire parabolique provenant de la génétique des populations." Journées équations aux dérivées partielles (1988): 1-10. <http://eudml.org/doc/93169>.

@article{Shimakura1988,
author = {Shimakura, Norio},
journal = {Journées équations aux dérivées partielles},
keywords = {Kimura model},
language = {fre},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {Un problème mixte non-linéaire parabolique provenant de la génétique des populations},
url = {http://eudml.org/doc/93169},
year = {1988},
}

TY - JOUR
AU - Shimakura, Norio
TI - Un problème mixte non-linéaire parabolique provenant de la génétique des populations
JO - Journées équations aux dérivées partielles
PY - 1988
PB - Ecole polytechnique
SP - 1
EP - 10
LA - fre
KW - Kimura model
UR - http://eudml.org/doc/93169
ER -

References

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  1. [1] : KIMURA M. — Diffusion model of intergroup selection, with special reference to evolution of an altruistic character. Proc. Nat. Acad. Sci. USA, 80 (1983), 6317 - 6321. Zbl0543.92013
  2. [2] : KIMURA M. — Evolution of an altruistic trait through group selection as studied by diffusion equation model. IMA J. Math. Applied to Medicine and Biology, 1 - 1 (1984), 1 - 15. Zbl0611.92017MR85k:92042
  3. [3] : KIMURA M. — Diffusion model of population genetics incorporating group selection, with special reference to an altruistic trait. 15-th Conf. Stoch. Proc. Appl., Nagoya, 1985, Lec. Note in Math., 1203 (1986), 101-118, Springer. Zbl0609.92022MR88b:92027
  4. [4] : OGURA Y. — SHIMAKURA N. — Stationary solutions and their stability for Kimura's diffusion model with intergroup selection. J. Math. Kyoto Univ., 27-2 (1987), 305-347. Zbl0645.92013
  5. [5] : OGURA Y. — SHIMAKURA N. — Stationary solutions and their stability for Kimura's diffusion model with intergroup selection II, J. Math. Kyoto Univ., 27-4 (1987), 635-655. Zbl0645.92014MR89b:35063
  6. [6] : SHIGA T. — Existence and uniqueness of solutions for a class of non-linear diffusion equations. J. Math. Kyoto Univ., 27-2 (1987), 195-215. Zbl0648.35047MR89f:35108
  7. [7] : SHIMAKURA N. — Existence and uniqueness of solutions for a diffusion model of intergroup selection. J. Math. Kyoto Univ., 25-4 (1985), 775-788. Zbl0615.92010MR87c:92037
  8. [8] : WIDDER D.V. — The Laplace transform. (1946), Princeton Univ. Press. 

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