Cholera is a serious threat to the health of human-kind all over the world and its control is a problem of great concern. In this context, a nonlinear mathematical model to control the prevalence of cholera disease is proposed and analyzed by incorporating TV and social media advertisements as a dynamic variable. It is considered that TV and social media ads propagate the knowledge among the people regarding the severe effects of cholera disease on human health along with its precautionary measures. It is also assumed that the mode of transmission of cholera disease among susceptible individuals is due to consumption of contaminated drinking water containing it Vibrio cholerae. Moreover, the propagation of knowledge through TV and social media ads makes the people aware to adopt precautionary measures and also the aware people make some effectual efforts to washout the bacteria from the aquatic environment. Model analysis reveals that increase in the washout rate of bacteria due to aware individuals causes the stability switch. It is found that TV and social media ads have the potential to reduce the number of infectives in the region and thus control the cholera epidemic. Numerical simulation is performed for a particular set of parameter values to support the analytical findings.

中文翻译：

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模拟电视和社交媒体广告对水传播疾病动态的有效性

霍乱是世界范围内对人类健康的严重威胁，其控制是一个备受关注的问题。在此背景下，通过将电视和社交媒体广告作为动态变量，提出并分析了控制霍乱病流行的非线性数学模型。人们认为，电视和社交媒体广告向人们宣传霍乱病对人类健康的严重影响及其预防措施。还假设易感人群中霍乱病的传播方式是由于饮用了含有霍乱病的受污染饮用水霍乱弧菌. 此外，通过电视和社交媒体广告传播知识，使人们意识到采取预防措施，也使有意识的人们做出一些有效的努力来清除水环境中的细菌。模型分析表明，由于有意识的个体，细菌清除率的增加会导致稳定性转换。研究发现，电视和社交媒体广告有可能减少该地区的感染人数，从而控制霍乱流行。对一组特定的参数值执行数值模拟以支持分析结果。