scholarly journals An HIV/AIDS epidemic model with media coverage, vertical transmission and time delays

2019 ◽  
Author(s):  
Timothy Robin Y. Teng ◽  
Elvira P. De Lara-Tuprio ◽  
Jay Michael R. Macalalag
Keyword(s):  
Vertical Transmission ◽  
Epidemic Model ◽  
Media Coverage ◽  
Time Delays ◽  
Aids Epidemic ◽  
Hiv Aids

Treatment of HIV/AIDS epidemic model with vertical transmission by using evolutionary Padé-approximation

2020 ◽  
Vol 134 ◽  
pp. 109686 ◽  
Author(s):  
Muhammad Farhan Tabassum ◽  
Muhammad Saeed ◽  
Ali Akgül ◽  
Muhammad Farman ◽  
Nazir Ahmad Chaudhry
Keyword(s):  
Vertical Transmission ◽  
Epidemic Model ◽  
Padé Approximation ◽  
Pade Approximation ◽  
Aids Epidemic ◽  
Hiv Aids

scholarly journals Optimal Control of HIV/AIDS Epidemic Model with Two Latent Stages, Vertical Transmission and Treatment

2020 ◽  
Vol 1562 ◽  
pp. 012017
Author(s):  
Nur Shofianah ◽  
Sa’adatul Fitri ◽  
Trisilowati ◽  
Karunia Theda Kristanti
Keyword(s):  
Optimal Control ◽  
Vertical Transmission ◽  
Epidemic Model ◽  
Aids Epidemic ◽  
Hiv Aids

scholarly journals Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiaodong Wang ◽  
Chunxia Wang ◽  
Kai Wang
Keyword(s):  
Vertical Transmission ◽  
Epidemic Model ◽  
Media Coverage ◽  
Existence And Uniqueness ◽  
Deterministic Model ◽  
Reproduction Number ◽  
Global Dynamics ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Stochastic Sir

AbstractIn this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number $R_{0}$ R 0 which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results.

scholarly journals Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China

2020 ◽  
Vol 25 (9) ◽  
pp. 3491-3521
Author(s):  
Hongyong Zhao ◽  
◽  
Peng Wu ◽  
Shigui Ruan ◽  
Keyword(s):  
Optimal Control ◽  
Dynamic Analysis ◽  
Epidemic Model ◽  
Age Class ◽  
Aids Epidemic ◽  
Hiv Aids

Stochastic dynamics of an HIV/AIDS epidemic model with treatment

2018 ◽  
Vol 42 (5) ◽  
pp. 605-621 ◽  
Author(s):  
Mozart U. Nsuami ◽  
Peter J. Witbooi
Keyword(s):  
Epidemic Model ◽  
Stochastic Dynamics ◽  
Aids Epidemic ◽  
Hiv Aids
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