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

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

An HIV/AIDS epidemic model with general nonlinear incidence rate and treatment is formulated. The basic reproductive number ℜ 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 uni...

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Veröffentlicht in:Advances in difference equations 2017-05, Vol.2017 (1), p.1-13, Article 136
Hauptverfasser: Jia, Jianwen, Qin, Gailing
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
basic reproduction number
Biological models (mathematics)
Difference and Functional Equations
Differential equations
Epidemics
Functional Analysis
geometric approach
global stability
HIV
HIV/AIDS epidemic model
Human immunodeficiency virus
Mathematics
Mathematics and Statistics
nonlinear incidence
Ordinary Differential Equations
Partial Differential Equations
Stability analysis
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Beschreibung
Zusammenfassung:An HIV/AIDS epidemic model with general nonlinear incidence rate and treatment is formulated. The basic reproductive number ℜ 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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1175-5