Stability analysis of HIV/AIDS epidemic model with nonlinear incidence and treatment

Autor: Jianwen Jia, Gailing Qin
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-13 (2017)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1175-5
Popis: Abstract An HIV/AIDS epidemic model with general nonlinear incidence rate and treatment is formulated. The basic reproductive number ℜ 0 $\Re_{0}$ is obtained by use of the method of the next generating matrix. By carrying out an analysis of the model, we study the stability of the disease-free equilibrium and the unique endemic equilibrium by using the geometric approach for ordinary differential equations. Numerical simulations are given to show the effectiveness of the main results.
Databáze: Directory of Open Access Journals