Di Blasio, Gabriella Nonlinear age-dependent population growth with history-dependent birth rate. (English) Zbl 0413.92012 Math. Biosci. 46, 279-291 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 22 Documents MSC: 92D25 Population dynamics (general) 35F15 Boundary value problems for linear first-order PDEs Keywords:nonlinear age-dependent population growth; history-dependent birth rate; existence; uniqueness; a priori estimates; Lotka-Von Foerster model; linear partial differential equation PDFBibTeX XMLCite \textit{G. Di Blasio}, Math. Biosci. 46, 279--291 (1979; Zbl 0413.92012) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.