ArticleComputational and mathematical methods in medicine2017
Modeling and Control for HIV/AIDS Transmission in China Based on Data from 2004 to 2016.
Article in Computational and mathematical methods in medicine, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Epidemiological Characteristics and Transmissibility of Human Immunodeficiency Virus - Fujian Province, China, 1987-2024.China CDC weekly · 2026Article
- Stochastic analysis of a generalized reaction-diffusion epidemic model with latency and Black-Karasinski process.Theory in biosciences = Theorie in den Biowissenschaften · 2026Article
- Article
- Statistical modelling and forecasting of HIV and anti-retroviral therapy cases by time-series and machine learning models.Scientific reports · 2025Article
- Clinical decision support systems for diabetic foot ulcers: a scoping review.Revista da Escola de Enfermagem da U S P · 2024Article
- A stochastic SIQR epidemic model with Lévy jumps and three-time delays.Applied mathematics and computation · 2022Article
- Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up.F1000Research · 2022Article
- Analysis on the trend of AIDS incidence in Zhejiang, China based on the age-period-cohort model (2004-2018).BMC public health · 2021Article
- A Noninvasive Prediction Model for Hepatitis B Virus Disease in Patients with HIV: Based on the Population of Jiangsu, China.BioMed research international · 2021Article
- OntoRepliCov: an Ontology-Based Approach for Modeling the SARS-CoV-2 Replication Process.Procedia computer science · 2021Article
- Long-Term Changes of HIV/AIDS Incidence Rate in China and the U.S. Population From 1994 to 2019: A Join-Point and Age-Period-Cohort Analysis.Frontiers in public health · 2021Article
- Epidemiological and time series analysis on the incidence and death of AIDS and HIV in China.BMC public health · 2020Article
- The Good, The Bad and The Ugly: A Mathematical Model Investigates the Differing Outcomes Among CoVID-19 Patients.Journal of the Indian Institute of Science · 2020Review
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3 authors.
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Abstract
HIV is one of the major life-threatening viruses that are spreading in the People's Republic of China (China for short). A susceptible-exposed in the latent stage-infectious (SEI) model is established to sketch the evolution of epidemic. The basic reproduction number is defined. By constructing Lyapunov function, globally asymptotical stabilities of the disease-free and endemic equilibria are given. Then, optimal control theory is applied in HIV/AIDS epidemic. Precaution, screening, and treatment of control variables are introduced and a new model with control is established. Through the HIV/AIDS data in China, all parameters involved in SEI model are analyzed and parts of them are estimated. Further, by control model, optimal strategy is obtained. Results show that the precaution and treatment are the major contributors to preventing and controlling HIV/AIDS epidemic.
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