References

RICCATI EQUATION IN A CLASS OF TRAIN ALGEBRAS


[1] G. Andreoli, Algebre non associative e sistemi differenziati di Riccati in un problema di genetica, Annali di Matematica Pura ed Applicata 49(1) (1960), 97-116.

[2] J. Bayara, A. Conseibo, M. Ouattara and F. Zitan, Power-associative algebras that are train algebras, Journal of Algebra 324 (2010), 1159-1176.

[3] R. Costa, On train algebras of rank 3, Linear Alg. Appl. 149 (1991), 1-12.

[4] H. Gradl and S. Walcher, On continuous time models in genetic and Bernstein algebras, J. Math. Biology 31 (1992), 107-113.

[5] I. Heuch, Genetic algebras and time continuous models, Theoretical Population Biology 4(2) (1973), 133-144.

[6] M. Ouattara, Sur une classe d’algèbres à puissances associatives, Linear Algebra Appl. 235 (1996), 47-62.

[7] R. D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, New York, 1966.

[8] S. Walcher, Algebras and Differential Equations, Hadronic Press, Palm Harbor, 1991.

[9] S. Walcher, On Bernstein algebras which are train algebras, Proc. Edinb. Math. Soc. 35(1) (1992), 159-166.

[10] A. Wörz-Busekros, Algebras in Genetics, Lecture Notes in Biomathematics, 36, Springer-Verlag, Berlin-New York, 1980.