In Mathematical biological models, the disease transmission rates play a crucial role by admitting different contexts in the course of disease dynamics. In the present work, an endeavor to understand the HIV dynamics with cure at Eclipse stage of infection with specific non-linear incidence rates have been accomplished. Together with the analysis on stability properties of the solutions at equilibrium points, the aggressive nature of the disease over longer period has been instituted by adopting the Lyapunov technique. The effort taken to perceive the vigorousness of the infection has not been limited to theoretical perspectives but supplemented with numerical evidences. The numerical substantiations widened the spectacular view to settle upon and rely on the presented model with randomness over other modeling approaches.

在数学生物学模型中，疾病传播率通过在疾病动态过程中考虑不同的环境而发挥关键作用。在当前的工作中，已经完成了一项努力，以特定的非线性发生率来理解在Eclipse感染阶段治愈艾滋病毒的动态。结合对溶液在平衡点的稳定性的分析，通过采用Lyapunov技术建立了该病在较长时期内的侵略性。感知感染强度的努力不仅限于理论观点，而且还辅以数字证据。数值证明拓宽了壮观的视野，使人们可以比其他建模方法更随意地依赖和依赖所提供的模型。