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- W3087090037 endingPage "113203" @default.
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- W3087090037 abstract "A novel HIV/AIDS infection model incorporating memory and media coverage effect is formulated. First, we introduce fractional-order derivative to the model. The basic reproduction number R 0 is calculated using the next generation matrix method. Existence, uniqueness, and positivity of the solution of the model are investigated. Existence and local stability analysis of the equilibria of the model are discussed. The disease dies out when R 0<1 at which the disease-free equilibrium is locally asymptotically stable. While the disease persists if R 0>1 at which the disease-free equilibrium becomes unstable and the endemic equilibrium point emerges. Second, a time-delay, τ, is introduced to model the effect of the delayed-induced treatment. The disease-free equilibrium is locally asymptotically stable for all τ>0." @default.
- W3087090037 created "2020-09-25" @default.
- W3087090037 creator A5044856385 @default.
- W3087090037 date "2021-03-01" @default.
- W3087090037 modified "2023-10-18" @default.
- W3087090037 title "Memory and media coverage effect on an HIV/AIDS epidemic model with treatment" @default.
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- W3087090037 doi "https://doi.org/10.1016/j.cam.2020.113203" @default.
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