A model for Chlamydia trachomatis (CT) and Gonorrhea codynamics, with optimal control analysis is studied and analyzed to assess the impact of targetted treatment for each of the diseases on their co-infections in a population. Analysis of the gonorrhea-only sub-model shows the existence of a stable disease free equilibrium (DFE) and a stable endemic equilibrium (EE) when the associated reproduction number is less than one. In the absence of re-infection, the DFE of the gonorrhea-only sub-model is shown to be globally asymptotically stable when the respective reproduction number is below one. The endemic equilibrium of the gonorrhea-only sub-model is also shown to be globally asymptotically stable when reproduction is greater than one. Applying the Centre Manifold Theory, the complete model is shown to undergo backward bifurcation when the associated reproduction number is less than unity. The optimality system for the co-infection model is established using the Pontryagin’s Maximum Principle. Implementing male CT treatment and male gonorrhea treatment cause a reduction in the total number of females and males co-infected with CT and gonorrhea. Also, implementing male CT treatment and female gonorrhea treatment leads to a decrease in the total number of females and males co-infected with CT and gonorrhea. Moreover, implementing female CT treatment and male gonorrhea treatment averts the highest co-infected cases, in comparison with all the intervention strategies.

对沙眼衣原体 (CT) 和淋病协同动力学模型进行了研究和分析，并进行了优化控制分析，以评估针对每种疾病的靶向治疗对其在人群中合并感染的影响。仅淋病子模型的分析表明，当相关繁殖数小于 1 时，存在稳定的无病平衡 (DFE) 和稳定的地方病平衡 (EE)。在没有再感染的情况下，当各自的繁殖数低于 1 时，仅淋病子模型的 DFE 显示为全局渐近稳定。当繁殖大于 1 时，仅淋病子模型的地方性平衡也显示为全局渐近稳定。应用中心流形理论，当相关的再生数小于 1 时，完整的模型会发生向后分叉。共感染模型的最优系统是使用庞特里亚金最大原理建立的。实施男性CT治疗和男性淋病治疗导致CT和淋病合并感染的女性和男性总数减少。此外，实施男性CT治疗和女性淋病治疗导致CT和淋病合并感染的女性和男性总数减少。此外，与所有干预策略相比，实施女性 CT 治疗和男性淋病治疗避免了最高的合并感染病例。实施男性CT治疗和男性淋病治疗导致CT和淋病合并感染的女性和男性总数减少。此外，实施男性CT治疗和女性淋病治疗导致CT和淋病合并感染的女性和男性总数减少。此外，与所有干预策略相比，实施女性 CT 治疗和男性淋病治疗避免了最高的合并感染病例。实施男性CT治疗和男性淋病治疗导致CT和淋病合并感染的女性和男性总数减少。此外，实施男性CT治疗和女性淋病治疗导致CT和淋病合并感染的女性和男性总数减少。此外，与所有干预策略相比，实施女性 CT 治疗和男性淋病治疗避免了最高的合并感染病例。