A note on the bifurcation point of a randomized Fibonacci model

Luís, Rafael; Mendonça, Sandra

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http://hdl.handle.net/10400.13/3854

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Authors

Luís, Rafael

Mendonça, Sandra

Abstract(s)

In a recent paper, a modified randomized Fibonacci model was presented, assuming that the number of direct offsprings of each ancestor is a Bernoulli random variable. In this work a question posted in the referred paper on the modified ran domized Fibonacci model is answered and, in addition, the model is studied from a discrete dynamical system approach. In particular, the local qualitative properties of the unique bifurcation point that emerges in the unit interval in the Randomized Fi bonacci model are presented. The work ends with a study of the long-term behaviour of a multi species ruled by the modified randomized Fibonacci model.

Keywords

Randomized Fibonacci model Bernoulli offsprings Local stability Bifurcation point . Faculdade de Ciências Exatas e da Engenharia

URI

http://hdl.handle.net/10400.13/3854

Citation

Luís, R., & Mendonça, S. (2016). A note on the bifurcation point of a randomized Fibonacci model. Chaotic Modeling and Simulation (CMSIM), 4, 445-458.