Computation and simulation of evolutionary game dynamics in finite populations
The study of evolutionary dynamics increasingly relies on computational methods, as more
and more cases outside the range of analytical tractability are explored. The computational …
and more cases outside the range of analytical tractability are explored. The computational …
Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective
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 …
example of a reducible Markov Chain;(ii) the Kimura Equation, a particular case of a …
[HTML][HTML] Moran process and Wright-Fisher process favor low variability
J Rychtář, DT Taylor - Discrete and Continuous Dynamical Systems …, 2021 - aimsciences.org
We study evolutionary dynamics in finite populations. We assume the individuals are one of
two competing genotypes, $ A $ or $ B $. The genotypes have the same average fitness but …
two competing genotypes, $ A $ or $ B $. The genotypes have the same average fitness but …
[HTML][HTML] Population dynamics and games of variable size
M Hansen, FACC Chalub - Journal of Theoretical Biology, 2024 - Elsevier
This work introduces the concept of Variable Size Game Theory (VSGT), in which the
number of players in a game is a strategic decision made by the players themselves. We …
number of players in a game is a strategic decision made by the players themselves. We …
[HTML][HTML] Entropy and the arrow of time in population dynamics
The concept of entropy in statistical physics is related to the existence of irreversible
macroscopic processes. In this work, we explore a recently introduced entropy formula for a …
macroscopic processes. In this work, we explore a recently introduced entropy formula for a …
Fitness potentials and qualitative properties of the Wright-Fisher dynamics
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 central …
the diffusion approximation described by the Kimura Equation. In this formalism, the central …
On some dynamical features of the complete Moran model for neutral evolution in the presence of mutations
G Gaeta - Open Communications in Nonlinear …, 2024 - ocnmp.episciences.org
We present a version of the classical Moran model, in which mutations are taken into
account; the possibility of mutations was introduced by Moran in his seminal paper, but it is …
account; the possibility of mutations was introduced by Moran in his seminal paper, but it is …
From Fixation Probabilities to d-player Games: An Inverse Problem in Evolutionary Dynamics
The probability that the frequency of a particular trait will eventually become unity, the so-
called fixation probability, is a central issue in the study of population evolution. Its …
called fixation probability, is a central issue in the study of population evolution. Its …
Moderate death rates can be beneficial for the evolution of cooperation
Spatial structure is one of the simplest and most studied ecological factors that affect the
evolution of cooperation. It has been shown that spatial reciprocity promotes cooperation …
evolution of cooperation. It has been shown that spatial reciprocity promotes cooperation …
Continuous approximations for the fixation probability of the Moran processes on star graphs
We consider a generalized version of the birth-death (BD) and death-birth (DB) processes
introduced by Kaveh et al (2015), in which two constant fitnesses, one for birth and the other …
introduced by Kaveh et al (2015), in which two constant fitnesses, one for birth and the other …