Modelling coevolutionary dynamics in heterogeneous SI epidemiological systems across scales

T Lorenzi, E Paparelli, A Tosin - arXiv preprint arXiv:2306.16432, 2023 - arxiv.org
We develop a new structured compartmental model for the coevolutionary dynamics
between susceptible and infectious individuals in heterogeneous SI epidemiological …

[PDF][PDF] Slow convergence to equilibrium for an evolutionary epidemiology integro-differential system

JB Burie, R Djidjou-Demasse… - Discrete and Continuous …, 2020 - researchgate.net
This work is devoted to the study of an integro-differential system of equations modelling the
genetic adaptation of a pathogen by taking into account both mutation and selection …

Travelling wave solutions for a non-local evolutionary-epidemic system

L Abi Rizk, JB Burie, A Ducrot - Journal of Differential Equations, 2019 - Elsevier
In this work we study the travelling wave solutions for a spatially distributed system of
equations modelling the evolutionary epidemiology of plant-pathogen interaction. Here the …

Asymptotic behavior of an epidemic model with infinitely many variants

JB Burie, A Ducrot, Q Griette - Journal of Mathematical Biology, 2023 - Springer
We investigate the long-time dynamics of a SIR epidemic model with infinitely many
pathogen variants infecting a homogeneous host population. We show that the basic …

Concentration estimates in a multi-host epidemiological model structured by phenotypic traits

JB Burie, A Ducrot, Q Griette, Q Richard - Journal of Differential Equations, 2020 - Elsevier
In this work we consider a nonlocal system modelling the evolutionary adaptation of a
pathogen within a multi-host population of plants. Here we focus our analysis on the study of …

On the large time behaviour of the solutions of an evolutionary-epidemic system with spatial dispersal

A Ducrot, D Manceau, A Sylla - … and Biology: A Journal of the …, 2024 - academic.oup.com
This paper investigates some properties of the large time behaviour of the solutions of a
spatially distributed system of equations modelling the evolutionary epidemiology of a plant …

Within-host evolutionary dynamics of antimicrobial quantitative resistance

R Djidjou-Demasse, MT Sofonea… - … Modelling of Natural …, 2023 - mmnp-journal.org
Antimicrobial efficacy is traditionally described by a single value, the minimal inhibitory
concentration (MIC), which is the lowest concentration that prevents visible growth of the …

Evolutionary dynamics in an SI epidemic model with phenotype-structured susceptible compartment

T Lorenzi, A Pugliese, M Sensi, A Zardini - Journal of Mathematical Biology, 2021 - Springer
We present an SI epidemic model whereby a continuous structuring variable captures
variability in proliferative potential and resistance to infection among susceptible individuals …

Linking within-and between-host scales for understanding the evolutionary dynamics of quantitative antimicrobial resistance

ML Mann-Manyombe, A Mendy, O Seydi… - Journal of Mathematical …, 2023 - Springer
Understanding both the epidemiological and evolutionary dynamics of antimicrobial
resistance is a major public health concern. In this paper, we propose a nested model …

The ensemble of gene regulatory networks at mutation–selection balance

CH Yang, SV Scarpino - Journal of the Royal Society …, 2023 - royalsocietypublishing.org
The evolution of diverse phenotypes both involves and is constrained by molecular
interaction networks. When these networks influence patterns of expression, we refer to …