Geodesic
A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process
Serdica Mathematical Journal, Tome 30 (2004) no. 4, pp. 483-494.

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In this work, the problem of the limiting behaviour of an irreducible Multitype Galton-Watson Branching Process with period d greater than 1 is considered. More specifically, almost sure convergence of some linear functionals depending on d consecutive generations is studied under hypothesis of non extinction. As consequence the main parameters of the model are given a convenient interpretation from a practical point of view. For a better understanding of the theoretical results, an illustrative example is provided.
Keywords: Periodic Multitype Galton-Watson Branching Process, Almost Sure Convergence, Cycle 
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González, M.; Martínez, R.; Mota, M. A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process. Serdica Mathematical Journal, Tome 30 (2004) no. 4, pp. 483-494. http://geodesic.mathdoc.fr/item/SMJ2_2004_30_4_a1/