A method for treating a class of non­linear diffusion problems

Stavros Busenberg; Mimmo Iannelli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1982)

  • Volume: 72, Issue: 3, page 121-127
  • ISSN: 1120-6330

How to cite

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Busenberg, Stavros, and Iannelli, Mimmo. "A method for treating a class of non­linear diffusion problems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 72.3 (1982): 121-127. <http://eudml.org/doc/287042>.

@article{Busenberg1982,
author = {Busenberg, Stavros, Iannelli, Mimmo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {non-linear diffusion problems; existence; uniqueness; population dynamics; age structure; spatial diffusion},
language = {eng},
month = {3},
number = {3},
pages = {121-127},
publisher = {Accademia Nazionale dei Lincei},
title = {A method for treating a class of non­linear diffusion problems},
url = {http://eudml.org/doc/287042},
volume = {72},
year = {1982},
}

TY - JOUR
AU - Busenberg, Stavros
AU - Iannelli, Mimmo
TI - A method for treating a class of non­linear diffusion problems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1982/3//
PB - Accademia Nazionale dei Lincei
VL - 72
IS - 3
SP - 121
EP - 127
LA - eng
KW - non-linear diffusion problems; existence; uniqueness; population dynamics; age structure; spatial diffusion
UR - http://eudml.org/doc/287042
ER -

References

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  1. Busenberg, S. and Travis, C. - Epidemic models with spatial spread due to population migration, preprint. Zbl0522.92020
  2. Di Blasio, G. (1979) - Nonlinear age-dependent population diffusion, «J. Math. Biology», 8, 265-284. Zbl0426.92017
  3. Di Blasio, G. - A problem arising in the mathematical theory of epidemics, preprint. Zbl0513.92022
  4. Gurtin, M. and Mac Camy, R. (1977) - On the diffusion of biological populations, «Math. Biosciences», 33, 35-79. 
  5. Gurtin, M. and Mac Camy, R. (1981) - Diffusion models for age-structured populations, «Math. Biosciences», 54, 49-59. Zbl0459.92015
  6. Langlais, M. (1981) - Sur une classe de problèmes aux limites dégénérés et quelques applications, Doctorate Thesis, Université de Bordeaux. 
  7. Mac Camy, R. (1981) - A population model with nonlinear diffusion, «J. Diff. Eq.», 39, 52-72. Zbl0458.92012
  8. Webb, G. (1980) - An age-structured epidemic model with spatial diffusion, «Arch. Rat. Mech. and Anal.», 75, 91-102. Zbl0484.92018

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