@article{fdi:010088629,
  title = {{L}inking within- and between-host scales for understanding the evolutionary dynamics of quantitative antimicrobial resistance},
  author = {{M}ann-{M}anyombe, {M}. {L}. and {M}endy, {A}. and {S}eydi, {O}. and {D}jidjou-{D}emasse, {R}ams{\`e}s},
  editor = {},
  language = {{ENG}},
  abstract = {{U}nderstanding both the epidemiological and evolutionary dynamics of antimicrobial resistance is a major public health concern. {I}n this paper, we propose a nested model, explicitly linking the within- and between-host scales, in which the level of resistance of the bacterial population is viewed as a continuous quantitative trait. {T}he within-host dynamics is based on integro-differential equations structured by the resistance level, while the between-host scale is additionally structured by the time since infection. {T}his model simultaneously captures the dynamics of the bacteria population, the evolutionary transient dynamics which lead to the emergence of resistance, and the epidemic dynamics of the host population. {M}oreover, we precisely analyze the model proposed by particularly performing the uniform persistence and global asymptotic results. {F}inally, we discuss the impact of the treatment rate of the host population in controlling both the epidemic outbreak and the average level of resistance, either if the within-host scale therapy is a success or failure. {W}e also explore how transitions between infected populations (treated and untreated) can impact the average level of resistance, particularly in a scenario where the treatment is successful at the within-host scale.},
  keywords = {{A}ntimicrobial resistance ; {E}volutionary dynamics ; {N}ested models ; {N}on-linear dynamical system ; 35{BXX}},
  booktitle = {},
  journal = {{J}ournal of {M}athematical {B}iology},
  volume = {87},
  numero = {6},
  pages = {78 [44 ]},
  ISSN = {0303-6812},
  year = {2023},
  DOI = {10.1007/s00285-023-02008-1},
  URL = {https://www.documentation.ird.fr/hor/fdi:010088629},
}