Modeling and control for HIV/AIDS transmission in China based on data from 2004 to 2016

DOI10.1155/2017/8935314zbMath1397.92648OpenAlexW2754540393WikidataQ47193907 ScholiaQ47193907MaRDI QIDQ1664531

Hui Miao, Zhiming Li, Zhi-Dong Teng

Publication date: 27 August 2018

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/8935314

zbMATH Keywords

optimal controlLyapunov functionHIV/AIDS transmissionglobally asymptotical stabilities

Mathematics Subject Classification ID

Epidemiology (92D30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Global stability of solutions to ordinary differential equations (34D23)

Related Items (8)

A stochastic SIQR epidemic model with Lévy jumps and three-time delays ⋮ Dynamic analysis and optimal control of a stochastic COVID-19 model ⋮ Assessing the effect of migration and immigration rates on the transmission dynamics of infectious diseases ⋮ Fractional-order deterministic epidemic model for the spread and control of HIV/AIDS with special reference to Mexico and India ⋮ Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein-Uhlenbeck process ⋮ HIV drug resistance: insights from mathematical modelling ⋮ Global stability analysis for a SEI model with nonlinear incidence rate and asymptomatic infectious state ⋮ An analysis on the trend of AIDS/HIV incidence in Chongqing and Shenzhen, China from 2005--2015 based on age-period-cohort model

Uses Software

• fminsearch

Cites Work

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• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions

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