Untitled

Funder

Organizational Unit

Publications

A note on the bifurcation point of a randomized Fibonacci model

Publication . Luís, Rafael; Mendonça, Sandra

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.

2016Journal article

Open access

A stochastic study for a generalized logistic model

Publication . Luís, Rafael; Mendonça, Sandra

In this paper some properties of a generalized logistic discrete model are studied. Both autonomous and non-autonomous models are addressed, as well as the stochastic model, by varying the sequence of parameters that determine the sequence of mappings of the process. Some results on stability are established and the long-term behaviour of the orbits is studied.

2021Journal article

Open access