Life history traits and dispersal shape neutral genetic diversity in metapopulations

J Garnier, P Lafontaine - Journal of Mathematical Biology, 2022 - Springer
Genetic diversity at population scale, depends on species life-history traits, population
dynamics and local and global environmental factors. We first investigate the effect of life …

Range shifts under constant-speed and accelerated climate warming

Y Zhou - Bulletin of Mathematical Biology, 2022 - Springer
Many species are experiencing range shifts as the climate warms. Earlier models have
considered moving-habitat scenarios where the shift speed of the moving habitat is either …

Inside dynamics of integrodifference equations with mutations

NG Marculis, MA Lewis - Bulletin of Mathematical Biology, 2020 - Springer
The method of inside dynamics provides a theory that can track the dynamics of neutral
gene fractions in spreading populations. However, the role of mutations has so far been …

Analyse mathématique de l'effet croisé de la dispersion et de l'hétérogénéité démographique sur la diversité génétique d'une métapopulation

P Lafontaine - 2020 - theses.hal.science
Le but de cette thèse est d'étudier l'évolution de la diversité génétique neutre au sein d'une
métapopulation. On s' intéresse uniquement à des marqueurs génétiques n'ayant aucun …

Persistence of globally attractive periodic solutions under discretization in Hammerstein equations

IA Beyeler - 2020 - studenttheses.uu.nl
Hammerstein equations are a type of integrodifference equations (IDEs), which are a type of
discrete-time dynamical systems defined on a state space of functions. They have a wide …

Integrodifference models for neutral genetic patterns and trade-offs in ecology

N Marculis - 2019 - era.library.ualberta.ca
Integrodifference equations are a common tool used in ecology to model the spread of
populations. In this thesis, I explore the neutral genetic patterns formed by range expansions …