4 papers
Unified modelling of epidemics by coupled dynamics via Monte-Carlo Markov Chain algorithms
Frédéric Protin, Martel Jules, Duc Thang Nguyen +9
To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of…
Selection and mutation in a shifting and fluctuating environment
Susely Figueroa Iglesias, Sepideh Mirrahimi
We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscil…
Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches
Vincent Calvez, Susely Figueroa Iglesias, Hélène Hivert +3
Horizontal gene Transfer (HT) denotes the transmission of genetic material between two living organisms, while the vertical transmission refers to a DNA transfer from parents to th…
Long time evolutionary dynamics of phenotypically structured populations in time periodic environments
Susely Figueroa Iglesias, Sepideh Mirrahimi
We study the long time behavior of a parabolic Lotka-Volterra type equation considering a time-periodic growth rate with non-local competition. Such equation describes the dynamics…