论文标题
淋病动力学模型的扰动和分叉分析
Perturbation and bifurcation analysis of a gonorrhoea dynamics model with control
论文作者
论文摘要
制定了淋病的传播动力学模型，并配制了控制融合被动免疫的控制模型。我们表明，治疗或控制参数的引入会导致跨临界分叉。计算向后分叉系数，并将其数值扰动结果与不同形式的平衡结果。控制模型的有效繁殖数足够小。这意味着溶液渐近稳定性，因此可以在有限的时间内控制该疾病。
A model for the transmission dynamics of gonorrhoea with control incorporating passive immunity is formulated. We show that introduction of treatment or control parameters leads to transcritical bifurcation. The backward bifurcation coefficients were calculated and their numerical perturbation results to different forms of equilibria. The calculated effective reproduction number of the model with control is sufficiently small. This implies asymptotically stability of the solution, thus, the disease can be controlled in a limited time.
