References
[1845] Verhulst, P. F., Recherches mathématiques sur la loi d'accroissement de la population. Mém. Acad. Roy. Bruxelles 18, 1.
[1847] Verhulst, P. F., Recherches mathématiques sur la loi d'accroissement de la population. Mem. Acad. Roy. Bruxelles 20, 1.
[1925] Lotka, A. J., Elements of Physical Biology. Baltimore: Williams and Wilkins. (Republished as Elements of Mathematical Biology. New York: Dover 1956.)
[1951] Skellam, J. G., Random dispersal in theoretical populations. Biometrika 38, 196–217.
[1954] Andrewartha, H. G., & L. C. Birch, The Distribution and Abundance of Animals. University of Chicago Press.
[1957] Scherbaum, O., & G. Rasch, Cell size distribution and single cell growth in Tetrahymena Pyriformis GL. Acta Pathol. Microbiol. Scandinav. 41, 161–182.
[1958] Fisher, R. A., The Genetical Theory of Natural Selection. 2nd ed. New York: Dover.
[1959] Kerner, E. H., Further considerations on the statistical mechanics of biological associations. Bull. Math. Biophys. 21, 217–255.
Von Foerster, H., Some remarks on changing populations. In The Kinetics of Cellular Proliferation. New York: Grune and Stratton, 382–407.
[1961] Lopez, A., Problems in Stable Population Theory. Princeton: Office of Population Research.
[1965] Trucco, E., Mathematical models for cellular systems. The von Foerster equation. Bull. Math. Biophysics 27, 285–305, 449–471.
[1968] Keyfitz, N., Introduction to the Mathematics of Population. Reading: Addison-Wesley.
[1970] Crow, J. F., & M. Kimura, An Introduction to Population Genetics Theory. New York: Harper and Row.
[1972] Langhaar, H. L., General population theory in the age-time continuum. J. Franklin Inst. 293, 199–214.
[1973] Gurtin, M. E., A system of equations for age-dependent population diffusion. J. Theor. Biol. 40, 389–392.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gurtin, M.E., Maccamy, R.C. Non-linear age-dependent population dynamics. Arch. Rational Mech. Anal. 54, 281–300 (1974). https://doi.org/10.1007/BF00250793
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00250793