4 citations · 7 across the 13 of their papers we have counts for
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SIR model with vaccination: bifurcation analysis
João P. S. Maurício de Carvalho, Alexandre A. Rodrigues
There are few adapted SIR models in the literature that combine vaccination and logistic growth. In this article, we study bifurcations of a SIR model where the class of Susceptibl…
Abundance of infinite switching
Alexandre A. Rodrigues, Maria Luisa Castro
In this article, we describe a class of vector fields exhibiting abundant switching} near a network: for every neighbourhood of the network and every infinite admissible path, the…
Stability of heteroclinic cycles: a new approach
Telmo Peixe, Alexandre A. Rodrigues
This paper analyses the stability of cycles within a heteroclinic network lying in a three-dimensional manifold formed by six cycles, for a one-parameter model developed in the con…
Rank-one strange attractors versus Heteroclinic tangles
Alexandre A. P. Rodrigues
We present a mechanism for the emergence of strange attractors (observable chaos) in a two-parameter periodically-perturbed family of differential equations on the plane. The two p…