Study of Public Health Education Effect on Spread of HIV Infection in a Density-Dependent Transmission Model

Ostadzad, Mohammad Hossein; Shahmorad, S.; Erjaee, G.H.

doi:10.1007/s12591-016-0310-1

Cited by 3 publications

(3 citation statements)

References 28 publications

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“…In order to consider the existence and uniqueness of solution of system ( 14), we reinterpret (14) as the flow determined by a semigroup on Banach space…”

Section: Well-posednessmentioning

confidence: 99%

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Dynamics of a Hybrid HIV/AIDS Model with Age-Structured, Self-Protection and Media Coverage

Wang

Nie

2022

Mathematics

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Taking into account the effects of the heterogeneity of the population and media coverage on disease transmission, in this paper, a hybrid HIV/AIDS model with age-structure, self-protection awareness and media coverage is formulated, which is made up of five partial differential equations (PDEs) and one ordinary differential equation (ODE). We establish the existence of the solution associated with the hybrid system and prove that the solution is unique, bounded and positive utilizing the semigroup approach. Based on the basic reproduction number R0, the threshold dynamics of this model are rigorously investigated, that is, there always is a unique disease-free steady state E0 and it is globally stable when R0<1, that is, the disease dies out. Further, there exists a unique endemic steady state E* and it is locally stable when R0>1 and some additional technical conditions are met. In addition, the uniform persistence of this hybrid system is demonstrated for R0>1, which means that the disease remains at the endemic level for a long time, which is not discussed in other age-structured infectious disease articles. Numerical simulations are also given to explain the main theoretical results, which suggest that age variability is a non-negligible factor in HIV/AIDS transmission, that is, the moment and scale of HIV/AIDS outbreaks are diverse for people of different ages, and media coverage can encourage people to take steps to avoid potential infection and control the spread of the disease.

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“…In order to consider the existence and uniqueness of solution of system ( 14), we reinterpret (14) as the flow determined by a semigroup on Banach space…”

Section: Well-posednessmentioning

confidence: 99%

“…In Refs. [12][13][14], scholars concerned about the role of education in the HIV/AIDS transmission models found that public health education campaigns can reduce the basic reproduction number to values below unity as intended for disease control and thus would succeed in eliminating this disease.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a Hybrid HIV/AIDS Model with Age-Structured, Self-Protection and Media Coverage

Wang

Nie

2022

Mathematics

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“…Following the elementary models presented by May and Anderson [1][2][3], various modifications have been applied to these models, and this topic has been addressed by certain researchers [4][5][6][7][8][9][10][11][12][13][14][15]. To reduce HIV infection incidence, the impact of education as a single strategy was investigated by Ostadzad et al [16,17]. Note that in this case, education means recommending persons to reduce the number of sexual partners, or reduce their risk-associated sexual behaviors.…”

Section: Introductionmentioning

confidence: 99%

Optimization of Public Health Education Parameters for Controlling the Spread of HIV/AIDS Infection

2020

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Due to the prevalence of Human Immuno-deficiency Virus/Acquired Immuno-Deficiency Syndrome (HIV/AIDS) infection in society and the importance of preventing the spread of this disease, a mathematical model for sexual transmission of HIV/AIDS epidemic with asymptomatic and symptomatic phase and public health education is stated as a symmetric system of differential equations in order to reduce the spread of this infectious disease. It is demonstrated that public health education has a considerable effect on the prevalence of the disease. Moreover, the cost of education is very high and for this reason, a cost-optimal control is applied to provide the best possible combination of the parameters corresponding to education in controlling the spread of the disease by means of the Genetic Algorithm (GA) and Simulated Annealing (SA).

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Mathematical Model of HIV/AIDS Considering Sexual Preferences Under Antiretroviral Therapy, a Case Study in San Juan de Pasto, Colombia

Morillo

Botina

Solarte

et al. 2022

Journal of Computational Biology

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While several studies on human immunodeficiency virus (HIV)/acquired immunodeficiency syndrome (AIDS) in the homosexual and heterosexual population have demonstrated substantial advantages in controlling HIV transmission in these groups, the overall 2benefits of the models with a bisexual population and initiation of antiretroviral therapy have not had enough attention in dynamic modeling. Thus, we used a mathematical model based on studying the impacts of bisexual behavior in a global community developed in the PhD thesis work of Espitia ( 2021 ). The model is governed by a nonlinear ordinary differential equation system, the parameters of which are calibrated with data from the cumulative cases of HIV infection and AIDS reported in San Juan de Pasto in 2019. Our model estimations show which parameters are the most influential and how to modulate them to decrease the HIV infection.

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Study of Public Health Education Effect on Spread of HIV Infection in a Density-Dependent Transmission Model

Cited by 3 publications

References 28 publications

Dynamics of a Hybrid HIV/AIDS Model with Age-Structured, Self-Protection and Media Coverage

Dynamics of a Hybrid HIV/AIDS Model with Age-Structured, Self-Protection and Media Coverage

Optimization of Public Health Education Parameters for Controlling the Spread of HIV/AIDS Infection

Mathematical Model of HIV/AIDS Considering Sexual Preferences Under Antiretroviral Therapy, a Case Study in San Juan de Pasto, Colombia

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