On a linear age-dependent population diffusion model
Author:
Michel R. Langlais
Journal:
Quart. Appl. Math. 40 (1983), 447-460
MSC:
Primary 45K05; Secondary 35K99, 92A15
DOI:
https://doi.org/10.1090/qam/693877
MathSciNet review:
693877
Full-text PDF Free Access
References |
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Additional Information
- Gabriella Di Blasio and Lamberto Lamberti, An initial-boundary value problem for age-dependent population diffusion, SIAM J. Appl. Math. 35 (1978), no. 3, 593–615. MR 507959, DOI https://doi.org/10.1137/0135049
- Maria Giovanna Garroni and Michel Langlais, Age-dependent population diffusion with external constraint, J. Math. Biol. 14 (1982), no. 1, 77–94. MR 666005, DOI https://doi.org/10.1007/BF02154754
M. E. Gurtin, A system of equations for age-dependent population diffusion, J. Theor. Biol. 40 389–392 (1973)
- Morton E. Gurtin and Richard C. MacCamy, On the diffusion of biological populations, Math. Biosci. 33 (1977), no. 1-2, 35–49. MR 682594, DOI https://doi.org/10.1016/0025-5564%2877%2990062-1
- Morton E. Gurtin and Richard C. MacCamy, Some simple models for nonlinear age-dependent population dynamics, Math. Biosci. 43 (1979), no. 3-4, 199–211. MR 527566, DOI https://doi.org/10.1016/0025-5564%2879%2990049-X
- Frank Hoppensteadt, Mathematical theories of populations: demographics, genetics and epidemics, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1975. Regional Conference Series in Applied Mathematics. MR 0526771
- Henry L. Langhaar, General population theory in the age-time continuum, J. Franklin Inst. 293 (1972), 199–214. MR 309579, DOI https://doi.org/10.1016/0016-0032%2872%2990085-3
M. Langlais, Sur un problème de dynamique de population, Tech. Rep. A. A. I., University of Bordeaux 1 (1980)
M. Langlais, Thesis, University of Bordeaux 1 (1981)
J. L. Lions and E. Magènes, Problèmes aux limites homogènes et applications, tôme 1, Dunod, Paris (1968)
- R. C. MacCamy, A population model with nonlinear diffusion, J. Differential Equations 39 (1981), no. 1, 52–72. MR 602431, DOI https://doi.org/10.1016/0022-0396%2881%2990083-8
. G. diBlasio and L. Lamberti, An initial boundary value problem for age population diffusion, SIAM J. Appl. Math. 35, 530–615 (1978)
M. G. Garroni and M. Langlais, Age-dependent population diffusion with external constraints, J. Math. Biol., to appear
M. E. Gurtin, A system of equations for age-dependent population diffusion, J. Theor. Biol. 40 389–392 (1973)
M. E. Gurtin and R. C. MacCamy, On the diffusion of biological population, Math. Biosci. 38, 35–49 (1977)
M. E. Gurtin and R. C. MacCamy, Some simple models for nonlinear age-dependent population dynamics, Math. Biosci. 43, 199–211 (1979)
F. Hoppensteadt, Mathematical theories of populations: demographics, genetics, and epidemics, Soc. Ind. Appl. Math., Philadelphia (1975)
H. L. Langhaar, General population theory in age-time continuum, J. Franklin Inst. 293, 199–214 (1972)
M. Langlais, Sur un problème de dynamique de population, Tech. Rep. A. A. I., University of Bordeaux 1 (1980)
M. Langlais, Thesis, University of Bordeaux 1 (1981)
J. L. Lions and E. Magènes, Problèmes aux limites homogènes et applications, tôme 1, Dunod, Paris (1968)
R. C. MacCamy, A population model with nonlinear diffusion, J. Diff. Eqs. 39, 52–72 (1981)
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Article copyright:
© Copyright 1983
American Mathematical Society
