SpringerLink
Log in

Age-dependent population diffusion with external constraint

  • Published:
Journal of Mathematical Biology Aims and scope Submit manuscript

Abstract

We present a simple model for age dependent population diffusion when the dynamics is submitted to external constraints. Existence, uniqueness and dependence on the parameters of the solution are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Canada)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bardos, C.: Problèmes aux limites pour les équations aux dérivées partielles du premier ordre. Ann. Scient. ec. Norm. Sup. 4∘ série,3, 185–233 (1970)

    Google Scholar 

  2. Garroni, M. G., Lamberti, L.: A variational problem for population dynamics with unilateral constraint. B.U.M.I. (5)16B, 876–896 (1979)

    Google Scholar 

  3. Gurtin, M. E.: A system of equations for age dependent population diffusion. J. Theor. Biology40, 389–392 (1973)

    Article  Google Scholar 

  4. Hoppensteadt, F.: Mathematical theories of populations: Demographies genetics and epidemics. Philadelphia S.I.A.M. 1975

    Google Scholar 

  5. Langhaar, H. L.: General population theory in age-time continuum. J. Franklin Inst.293, 199–214 (1972)

    Article  Google Scholar 

  6. Langlais, M.: Solutions fortes pour une classe de problèmes aux limites dégénérés. Comm. in Partial Differential Equations4 (8), 869–897 (1979)

    Google Scholar 

  7. Langlais, M.: A degenerating elliptic problem with unilateral constraints. Nonlinear Analysis, Theory, Methods, Applications.4 (2), 329–342 (1980)

    Google Scholar 

  8. Langlais, M.: Sur un problème de dynamique de population. Publications A.A.I. Université Bordeaux I, N∘ 8001–8004 (1980)

  9. Lions, J. L., Magenes, E.: Problèmes aux limites homogènes et applications, tome 1. Paris: Dunod 1968

    Google Scholar 

  10. Mignot, F., Puel, J. P.: Solution maximum de certaines inéquations variationnelles paraboliques. C.R.A.S. Série A t.280, 259–262 (1975)

    Google Scholar 

  11. Mignot, F., Puel, J. P.: Inequation variationnelles et quasi variationnelles du premier ordre. J. Math. pures appl.55, 353–378 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto Matematico “G. Castelnuovo”, Università di Roma, I-00185, Roma, Italy

    Maria Giovanna Garroni

  2. Laboratoire Associé an C.N.R.S. No 226, Université de Bordeaux, Bordeaux 1, 33405, Talence Cedex, France

    Michel Langlais

Authors
  1. Maria Giovanna Garroni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Michel Langlais
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work has been done within the framework of the cultural agreement between the Universities of Bordeaux and Rome

Rights and permissions

Reprints and permissions

About this article

Cite this article

Garroni, M.G., Langlais, M. Age-dependent population diffusion with external constraint. J. Math. Biology 14, 77–94 (1982). https://doi.org/10.1007/BF02154754

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02154754

Key words

Search

Navigation