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Nonlinear age-dependent population growth with history-dependent birth rate. (English) Zbl 0413.92012


MSC:

92D25 Population dynamics (general)
35F15 Boundary value problems for linear first-order PDEs
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References:

[1] Auslander, D. G.; Oster, G.; Huffaker, C., Dynamics of interacting populations, J. Franklin Inst., 297, 345-376 (1974)
[2] Di Blasio, G.; Lamberti, L., An initial-boundary value problem for age-dependent population diffusion, SIAM J. Appl. Math., 35, 593-615 (1978) · Zbl 0394.92019
[3] Gurtin, M. E.; MacCamy, R. C., Nonlinear age-dependent population dynamics, Arch. Rational Mech. Anal., 54, 281-300 (1974) · Zbl 0286.92005
[4] Hoppensteadt, F., Mathematical Theories of Population. Demographics, Genetics and Epidemics, CBMS-NSF Regional Conferences Series, Society for Industrial and Applied Mathematics (1975), Philadelphia · Zbl 0304.92012
[5] Langhaar, H. L., General population theory in the age-time continuum, J. Franklin Inst., 293, 199-214 (1972) · Zbl 0268.92011
[6] Lotka, A. J., Elements of Physical Biology (1925), Williams and Wilkins: Williams and Wilkins Baltimore · JFM 51.0416.06
[7] Von Foerster, H., Some remarks on changing populations, (The Kinetics of Cellular Proliferation (1959), Grune and Stratton: Grune and Stratton New York), 382-407
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