Predator–prey dynamics is most simply and commonly described by Lotka–Volterra-type
ordinary differential equations (ODEs) for continuous population density variables in the limit …

We consider a stochastic model for evolution of group-structured populations in which
interactions between group members correspond to the Prisoner's Dilemma or the Hawk …

We consider the linear degenerate parabolic equation∂ u∂ t-xa 0 (x, t)∂ 2 u∂ x 2+ a 1 (x,
t)∂ u∂ x+ a 2 (x, t) u= f (x, t) originated from pandemic dynamics modeling. Under suitable …

We study fixation in large, but finite, populations with two types, and dynamics governed by
birth-death processes. By considering a restricted class of such processes, which includes …

The susceptible-infective-susceptible (SIS) epidemiological scheme is the simplest
description of the dynamics of a disease that is contact-transmitted, and that does not lead to …

This work is concerned with the historical progression, to fixation, of an allele in a finite
population. This progression is characterized by the average frequency trajectory of alleles …

Although the long-term behavior of stochastic evolutionary game dynamics in finite
populations has been fully investigated, its evolutionary characteristics in a limited period of …

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 …

This work is a systematic study of discrete Markov chains that are used to describe the
evolution of a two-types population. Motivated by results valid for the well-known Moran (M) …

Ordinary differential equation models used in mathematical epidemiology assume explicitly
or implicitly large populations. For the study of infections in a hospital, this is an extremely …