Abstract:The increasing prevalence of HIV/AIDS in Africa over the past twenty-five years continues to erode the continent's health care and overall welfare. There have been various responses to the pandemic, led by Uganda, which has had the greatest success in combating the disease. Part of Uganda's success has been attributed to a formalized information, education, and communication (IEC) strategy, lowering estimated HIV/AIDS infection rates from 18.5% in 1995 to 4.1% in 2003. We formulate a model to investigate the e… Show more
“…One concern is that data on media coverage is hard to gather and in most cases when available are limited. As noted in [30], refining the susceptible class based on behavior change and including the dynamics of the information level are valid features. Finding data and including other features to make the proposed model more realistic are therefore very important if the model is to be calibrated to real data for comparison.…”
Section: Resultsmentioning
confidence: 99%
“…Also, news reporting at rates dependent upon the number of cases and the rate of change in cases may not destabilize an endemic steady-state, but it can significantly reduce prevalence. For instance, part of Uganda's success has been attributed to a formalized information, education, and communication strategy, lowering estimated HIV/AIDS infection rates from 18.5% in 1995 to 4.1% in 2003 [30]. Vigorous media reporting can have a substantial effect on reducing the impact of an outbreak as public health agencies constant updating of the media about the number of infections as they immediately pass on the information to the general population could result is a dramatic decrease in the severity of the outbreak, see Figure 4.…”
Section: Resultsmentioning
confidence: 99%
“…Li and Cui [29] analyze the effects of constant and pulse vaccination of a susceptible-infected-vaccinated SIV epidemic models incorporating media coverage. Joshi et al [30] model the effect of information campaigns on the HIV epidemic in Uganda and explicitly include a class reflecting the amount of educational information. Mummert and Weiss [31] examined the situation when the media holds back news of an outbreak and only after some time begins to report the disease morbidity and mortality with two types of delays.…”
There is significant current interest in the application of media/psychosocial effects to problems in epidemiology. News reporting has the potential to reach and to modify the knowledge, attitudes, and behavior of a large proportion of the community. A susceptible-infected-hospitalized-recovered model with vital dynamics, where media coverage of disease incidence and disease prevalence can influence people to reduce their contact rates is formulated. The media function is incorporated into the model using an exponentially decreasing function. Qualitative analysis of the model reveals that the disease-free equilibrium is locally asymptotically stable when a certain threshold is less than unity. Numerical results show the potential short-term beneficial effect of media coverage.
“…One concern is that data on media coverage is hard to gather and in most cases when available are limited. As noted in [30], refining the susceptible class based on behavior change and including the dynamics of the information level are valid features. Finding data and including other features to make the proposed model more realistic are therefore very important if the model is to be calibrated to real data for comparison.…”
Section: Resultsmentioning
confidence: 99%
“…Also, news reporting at rates dependent upon the number of cases and the rate of change in cases may not destabilize an endemic steady-state, but it can significantly reduce prevalence. For instance, part of Uganda's success has been attributed to a formalized information, education, and communication strategy, lowering estimated HIV/AIDS infection rates from 18.5% in 1995 to 4.1% in 2003 [30]. Vigorous media reporting can have a substantial effect on reducing the impact of an outbreak as public health agencies constant updating of the media about the number of infections as they immediately pass on the information to the general population could result is a dramatic decrease in the severity of the outbreak, see Figure 4.…”
Section: Resultsmentioning
confidence: 99%
“…Li and Cui [29] analyze the effects of constant and pulse vaccination of a susceptible-infected-vaccinated SIV epidemic models incorporating media coverage. Joshi et al [30] model the effect of information campaigns on the HIV epidemic in Uganda and explicitly include a class reflecting the amount of educational information. Mummert and Weiss [31] examined the situation when the media holds back news of an outbreak and only after some time begins to report the disease morbidity and mortality with two types of delays.…”
There is significant current interest in the application of media/psychosocial effects to problems in epidemiology. News reporting has the potential to reach and to modify the knowledge, attitudes, and behavior of a large proportion of the community. A susceptible-infected-hospitalized-recovered model with vital dynamics, where media coverage of disease incidence and disease prevalence can influence people to reduce their contact rates is formulated. The media function is incorporated into the model using an exponentially decreasing function. Qualitative analysis of the model reveals that the disease-free equilibrium is locally asymptotically stable when a certain threshold is less than unity. Numerical results show the potential short-term beneficial effect of media coverage.
“…Several mathematical models have been proposed for HIV/AIDS transmission dynamics: see, e.g., [1,2,3,5,6,9,10,12,13,17,18] and references cited therein.…”
We propose a new mathematical model for the transmission dynamics of the human immunodeficiency virus (HIV). Global stability of the unique endemic equilibrium is proved. Then, based on data provided by the "Progress Report on the AIDS response in Cape Verde 2015", we calibrate our model to the cumulative cases of infection by HIV and AIDS from 1987 to 2014 and we show that our model predicts well such reality. Finally, a sensitivity analysis is done for the case study in Cape Verde. We conclude that the goal of the United Nations to end the AIDS epidemic by 2030 is a nontrivial task.
“…Mathematical models have become important tools in analyzing the spread and control of infectious diseases. Some examples on the use of mathematical model for the analyzes of treatment and control of infectious disease can be found in [11,13,16,17,21,27,28], etc. For instance, [13], based on results from the analysis and simulations of their HIV model, suggested universal HIV testing followed by an immediate commencement of antiretroviral therapy for those infected as a strategy to drive HIV epidemic towards elimination.…”
A mathematical model of an SIR epidemic model with constant recruitment and two control variables using control terms and a deterministic system of differential equation is presented and analyzed mathematically and numerically. We intend to control the susceptible and infected individuals with educational campaign and treatment strategies. We analyzed the model by non-dimensionalizing the system of equations of our SIR epidemic model and derived our basic reproduction number.We aim to minimize the total number of infective individuals and the cost associated with the use of educational campaign and treatment on [0, T ]. We used Pontryagin's maximum principle to characterize the optimal levels of the two controls. The resulting optimality system is solved numerically. The results show that the optimal combination of treatment and educational campaign strategy required to achieve the set objective will depend on the relative cost of each of the control measures. The results from our simulation is discussed.
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