Abstract
In [2] the solutions of Andreoli's differential equation in genetic algebras with genetic realization were shown to converge to equilibria. Here we derive an explicit formula for these limits.
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References
Andreoli, G.: Algebre non associative e sistemi differenziati di riccati in un problema di genetica. Ann. Mat. Pura Appl. 49, 97–116 (1960)
Gradl, H., Walcher, S.: On continuous time models in genetic and Bernstein algebras. J. Math. Biol. 31, 107–113 (1992)
Heuch, I.: Genetic algebras and time continuous models. Theor Popul. Biol. 4, 133–144 (1973)
Suttles, D.: A counterexample to a conjecture of Albert. Notices Am. Math. Soc. A 19, 566 (1972)
Walcher, S.: Bernstein algebras which are train algebras. Proc. Edinb. Math. Soc. 35, 159–166 (1992)
Wörz-Busekros, A.: Algebras in genetics. (Lect. Notes Biomath., vol. 36). Berlin Heidelberg New York: Springer
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Gradl, H. Long-time behavior of continuous time models in genetic algebras. J. Math. Biol. 32, 269–274 (1994). https://doi.org/10.1007/BF00163882
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DOI: https://doi.org/10.1007/BF00163882