7 citations · 12 across the 3 of their papers we have counts for
4 papers
Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective
Fabio A. C. C. Chalub, Léonard Monsaingeon, Ana Margarida Ribeiro +1
We consider three classical models of biological evolution: (i) the Moran process, an example of a reducible Markov Chain; (ii) the Kimura Equation, a particular case of a degenera…
Fitness potentials and qualitative properties of the Wright-Fisher dynamics
Fabio A. C. C. Chalub, Max O. Souza
We present a mechanistic formalism for the study of evolutionary dynamics models based on the diffusion approximation described by the Kimura Equation. In this formalism, the centr…
Migrations, vaccinations and epidemic control
Fabio A. C. C. Chalub, Tiago J. Costa, Paula Patrício
We consider three regions with different public health conditions. In the absence of migration among these regions, the first two have good health conditions and the disease free s…
The continuous limit of the Moran process and the diffusion of mutant genes in infinite populations
Fabio A. C. C. Chalub, Max O. Souza
We consider the so called Moran process with frequency dependent fitness given by a certain pay-off matrix. For finite populations, we show that the final state must be homogeneous…