@article{fdi:010088842,
  title = {{M}athematical model of {E}hrlichia chaffeensis transmission dynamics in dogs},
  author = {{A}gusto, {F}. {B}. and {D}jidjou-{D}emasse, {R}ams{\`e}s and {S}eydi, {O}.},
  editor = {},
  language = {{ENG}},
  abstract = {{E}hrlichia chaffeensis is a tick-borne disease transmitted by ticks to dogs. {F}ew studies have mathematical modelled such tick-borne disease in dogs, and none have developed models that incorporate different ticks' developmental stages (discrete variable) as well as the duration of infection (continuous variable). {I}n this study, we develop and analyze a model that considers these two structural variables using integrated semigroups theory. {W}e address the well-posedness of the model and investigate the existence of steady states. {T}he model exhibits a disease-free equilibrium and an endemic equilibrium. {W}e calculate the reproduction number ({T}-0). {W}e establish a necessary and sufficient condition for the bifurcation of an endemic equilibrium. {S}pecifically, we demonstrate that a bifurcation, either backward or forward, can occur at {T}-0=1, leading to the existence, or not, of an endemic equilibrium even when {T}-0<1. {F}inally, numerical simulations are employed to illustrate these theoretical findings.},
  keywords = {{A}mblyomma americanum ; {E}hrlichia chaffeensis ; age-structured model ; bifurcation analysis},
  booktitle = {},
  journal = {{J}ournal of {B}iological {D}ynamics},
  volume = {17},
  numero = {1},
  pages = {2287082 [38 p.]},
  ISSN = {1751-3758},
  year = {2023},
  DOI = {10.1080/17513758.2023.2287082},
  URL = {https://www.documentation.ird.fr/hor/fdi:010088842},
}