Qualitative study of an HIV transmission model among intravenous drug users

DOI10.1016/0096-3003(94)90106-6zbMath0817.92016OpenAlexW1971476766MaRDI QIDQ1316131

Xiaodong Lin, Xinzhi Liu

Publication date: 14 March 1994

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90106-6

zbMATH Keywords

numerical examplesglobal attractoriterative schemecomparison methodHIV transmissionintravenous drug users

Mathematics Subject Classification ID

Epidemiology (92D30) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Growth and boundedness of solutions to ordinary differential equations (34C11) Applications of dynamical systems (37N99) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). I: Single population models
• Using mathematical models to understand the AIDS epidemic
• On the transmission dynamics of HIV
• Qualitative analysis of an HIV transmission model
• On the uniqueness of endemic equilibria of an HIV/AIDS transmission model for a heterogeneous population
• Modeling and analyzing HIV transmission: The effect of contact patterns
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
• Uniform Persistence and Repellors for Maps
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• Demographic Change and Persistence of HIV/AIDS in a Heterogeneous Population
• Mathematical Modelling of the Transmission Dynamics of HIV Infection and AIDS: A Review