Abstract
Aim model in terms of differential equations is used to explain mammalian ovulation control, in particular regulation for a prescribed number of mature eggs.
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Abraham, R., Marsden, J.: Foundation of Mechanics (2nd Ed.) Reading, Mass. The Benjamin/Cummings Publishing Company, Inc. 1978
Akin, E.: The Geometry of Population Genetics. Lecture Notes in Biomathematics, Vol. 31. Springer 1979
Akin, E., Hofbauer, J.: Recurrence of the Unfit. Math. Biosciences 61, 51–62 (1982)
Conley, C.: Isolated Invariant Sets and the Morse Index. CBMS Conference Series No. 38, American Mathematical Society 1978
Eigen, M., Schuster, P.: The Hypercycle. Springer 1979
Gale, D.: The Theory of Linear Economic Models. New York: McGraw-Hill 1960
Hines, W. G. S.: Three Characterizations of Population Strategy Stability. J. Appl. Prob. 17, 333–340 (1980)
Hofbauer, J.: A difference equation model for the hypercycle. SIAM J. Appl. Math. to appear (1984)
Karlin, S.: Mathematical Methods and Theory in Games, Programming and Economics. Reading, Mass. Addison-Wesley 1959
Losert, V., Akin, E.: Dynamics of games and genes: Discrete versus continuous time. J. Math. Biol. 17, 241–251 1983
Maynard Smith, J.: Evolution and the Theory of Games. Cambridge: Cambridge University Press 1982
Nagylaki, T.: Evolution of a large population under gene conversion. Proc. Natl. Acad. Sci. USA 80, 5941–5945 1983a
Nagylaki, T.: Evolution of a finite population under gene conversion. Proc. Natl. Acad. Sci. USA 80, 6278–6281 1983b
Smale, S.: The Ω-stability Theorem. Proc. Symp. in Pure Math. Vol. XIV, American Mathematical Society 1970
Taylor, P., Jonker, L.: Evolutionarily stable strategies and game dynamics. Math. Biosci. 40, 145–156 1978
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NIH Grant RO1 GM 32153-01GE
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Akin, E., Losert, V. Evolutionary dynamics of zero-sum games. J. Math. Biology 20, 231–258 (1984). https://doi.org/10.1007/BF00275987
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DOI: https://doi.org/10.1007/BF00275987