Mathematical model of Ehrlichia chaffeensis transmission dynamics in dogs - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Biological Dynamics Année : 2023

Mathematical model of Ehrlichia chaffeensis transmission dynamics in dogs

Résumé

Ehrlichia chaffeensis is a tick-borne disease transmitted by ticks to dogs. Few studies have mathematical modeled 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). In this study, we develop and analyze a model that considers these two structural variables using integrated semigroups theory. We address the wellposedness of the model and investigate the existence of steady states. The model exhibits a disease-free equilibrium and an endemic equilibrium. We calculate the reproduction number (T 0). We establish a necessary and sufficient condition for the bifurcation of an endemic equilibrium. Specifically, 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. Finally, numerical simulations are employed to illustrate these theoretical findings.
Fichier principal
Vignette du fichier
FA_RDD_OS_tjbd.pdf (2.01 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04296909 , version 1 (21-11-2023)

Identifiants

Citer

Folashade B Agusto, Ousmane Seydi, Ramsès Djidjou-Demasse. Mathematical model of Ehrlichia chaffeensis transmission dynamics in dogs. Journal of Biological Dynamics, In press, ⟨10.1080/17513758.2023.2287082⟩. ⟨hal-04296909⟩
20 Consultations
35 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More