Though different forms of control measures have been deployed to curtail disease transmission, which are mostly through vaccination, treatment, isolation, etc., using mathematical models. Therefore, there is a need to consider the strict compliance or attendance of human individuals to medical awareness program through media outlets like radio, television, etc. In this work, a generalized mathematical model of two groups of infectious individuals who are compliant and non-compliant to medical awareness program is studied. A generalized Susceptible-Exposed-Infected-Recovered (SEIR) model with two groups of infectious individuals who attend or are compliant and those who do not attend or are non-compliant to medical awareness program is established. The analytical results of the model shows that the model is positive, well-posed, and epidemiologically reasonable. The two equilibria and the basic reproduction number Rr of the model is computed and analyzed and it is shown that the disease-free equilibrium is locally and globally asymptotically stable when Rr < 1 and the endemic equilibrium is globally stable when Rr > 1. Simulations are carried out by varying some parameters when Rr is less and above unity. The simulations suggest that control interventions are to be implemented and medical awareness program scaled up to mitigate the spread of diseases. Furthermore, two numerical methods of Runge-Kutta and Differential Transform Method (DTM) are employed to obtain the approximate solutions of the model system equations, and it is observed that the results of the two methods agreeably compare with each other in terms of efficiency and convergence. This work should be taken into consideration by health policy makers and bio-mathematicians, because existing literature only take into consideration, how diseases spread and its management without considering the impact of strict compliance to consistent awareness program to mitigate the spread of diseases, which has been considered in this work. The limitation of this work is the unavailability of data on individuals in disease endemic regions who always and who do not comply with medical awareness programs.

中文翻译：

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具有非线性关联函数的广义流行病模型的数学分析。

尽管已经采取了各种形式的控制措施来减少疾病的传播，这些方法大多是使用数学模型通过疫苗接种，治疗，隔离等进行的。因此，有必要考虑通过广播电台，电视台等媒体严格遵守或参加个人的医疗意识计划。在这项工作中，需要建立一个由两类传染性个体组成的广义数学模型，即两类传染性个体之间的依从性和非依从性。研究符合医学意识计划。建立了具有两组感染者的通用易感性感染复现（SEIR）模型，这些感染者参加或符合要求，而那些不参加或不符合医学意识计划。该模型的分析结果表明，该模型是正的，适定的，并且在流行病学上是合理的。计算并分析了模型的两个平衡点和基本繁殖数Rr，结果表明，当Rr <1时，无病平衡局部和全局渐近稳定；当Rr> 1时，地方病平衡全局稳定。当Rr小于等于1时，通过改变一些参数来执行。模拟表明，将实施控制干预措施，并扩大医疗意识计划，以减轻疾病的传播。此外，使用了Runge-Kutta和微分变换方法（DTM）的两种数值方法来获得模型系统方程的近似解，并且观察到两种方法的结果在效率和效率上都可以很好地相互比较。收敛。卫生政策制定者和生物数学家应考虑这项工作，因为现有文献仅考虑疾病的传播及其管理方法，而没有考虑严格遵守一致的认识计划以减轻疾病传播的影响。被认为在这项工作中。这项工作的局限性在于，无法获得有关疾病流行地区始终且不遵守医学意识计划的个人的数据。