Existence of a non-constant periodic solution of a non-linear autonomous functional differential equation representing the growth of a single species population

Author:

Walther Hans-Otto

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modelling and Simulation

Reference7 articles.

1. Dunkel, G.: Single species model for population growth depending on past history, in: Seminar on Differential Equations and Dynamical Systems (Lecture Notes in Mathematics Vol. 60). Berlin-Heidelberg-New York: Springer 1968.

2. Grafton, R. B.: A periodicity theorem for autonomous functional differential equations. Jour. Diff. Eqs.6, 87–109 (1969).

3. Halbach, U., Burkhardt, H. J.: Sind einfache Zeitverzögerungen die Ursachen für periodische Popuiationsschwankungen? Oecologia (Berlin)9, 215–222 (1972).

4. Horn, W. A.: Some fixed point theorems for compact maps and flows in Banach spaces. Transactions of the AMS149, 391–404 (1970).

5. Jones, G. S.: The existence of periodic solutions off′(x)= -αf(x−1) [1 +f(x)]. Jour. Math. An. Appl.5, 435–450 (1962).

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