Global stability for an HIV/AIDS epidemic model with different latent stages and treatment

Huo, Hai‐Feng; Feng, Li-Xiang

doi:10.1016/j.apm.2012.04.013

Cited by 86 publications

(48 citation statements)

References 17 publications

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“…Biologically, we can infer that the treatment for individuals in slow, medium and fast compartments has significant impact on the transmission dynamic of the disease. R of the model for slow and fast compartments, our results are in good agreement with the results of Huo and Feng [10] for two latent compartments model for which the basic reproduction number (R 1 ) is given by µ Fig. 6(c) shows that 2 R increases by increasing 2 .…”

Section: Numerical Simulationsupporting

confidence: 88%

“…The capacity of human immune system can be reduced by chronic diseases, such as diabetes and tuberculosis and can reduce. To analyze this behavior, Huo and Feng [10] developed a model with slow and fast latent compartments. Okosun et al [11] studied the treatment of HIV/AIDS and screening of unaware infective on the transmission dynamics of disease in a homogeneous population.…”

Section: Introductionmentioning

confidence: 99%

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Epidemic Model of HIV/AIDS Transmission Dynamics with Different Latent Stages Based on Treatment

Singh¹

2016

AJAM

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The mathematical model for analyzing the transmission dynamics of HIV/AIDS epidemic with treatment is studied by considering the three latent compartments for slow, medium and fast progresses of developing the AIDS. By constructing the system of differential equations for the different population groups namely susceptible, three types of latent individuals, symptomatic stage group and full blown AIDS individuals, the mathematical analysis is carried out in order to understand the dynamics of disease spread. By determining the basic reproduction number (R 0 ), the model examines the two equilibrium points (i) the disease free equilibrium and (ii) the endemic equilibrium. It is established that if < 1, the disease free equilibrium is locally and globally asymptotically stable. The stability of endemic equilibrium has also been discussed.

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Section: Numerical Simulationsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Epidemic Model of HIV/AIDS Transmission Dynamics with Different Latent Stages Based on Treatment

Singh¹

2016

AJAM

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“…In order to analyse and predict the spread of infectious disease, many epidemic models are studied in [1,7,8,14,25,27,34,37]. In recent years, Huo et al [6] discussed the global dynamics of a novel HIV/AIDS epidemic model in which they incorporate a new compartment, that is, treatment compartment T. Huo and Zou [12] introduced a tuberculosis model with two kinds of treatment, that is, treatment at home and treatment in hospital.…”

Section: Introductionmentioning

confidence: 99%

Modelling the effect of immigration on drinking behaviour

Hong

Zhu

Huo

2017

Journal of Biological Dynamics

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A drinking model with immigration is constructed. For the model with problem drinking immigration, the model admits only one problem drinking equilibrium. For the model without problem drinking immigration, the model has two equilibria, one is problem drinking-free equilibrium and the other is problem drinking equilibrium. By employing the method of Lyapunov function, stability of all kinds of equilibria is obtained. Numerical simulations are also provided to illustrate our analytical results. Our results show that alcohol immigrants increase the difficulty of the temperance work of the region. ARTICLE HISTORY

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“…Global stability of equilibrium points for mathematical models of HIV/AIDS transmission dynamics has been studied by di¤erent authors: see, e.g., [5,9,12]. In [12], the authors consider di¤erent latent stages depending on other chronic diseases that each individual may have.…”

Section: Introductionmentioning

confidence: 99%

“…In [12], the authors consider di¤erent latent stages depending on other chronic diseases that each individual may have. The epidemic model in [16] considers a latent stage and vaccination of newborns and susceptible.…”

Section: Introductionmentioning

confidence: 99%