Abstract：
In some regions of the Americas, domestic dogs are the host for the tick vector Rhipicephalus sanguineus, and spread the tick-borne pathogen Rickettsia rickettsii, which causes Rocky Mountain Spotted Fever (RMSF) in humans. Interventions are carried out against the vector via dog collars and acaricidal wall treatments. This paper investigates the optimal control of acaricidal wall treatments, using a prior model for populations and disease transmission developed for this particular vector, host, and pathogen. It is modified with a death term during questing stages reflecting the cost of control and level of coverage. In the presence of the control, the percentage of dogs and ticks infected with Ri. rickettsii decreases in a short period and remains suppressed for a longer period, including after treatment is discontinued. Risk of RMSF infection declines by 90% during this time. In the absence of re-application, infected tick and dog populations rebound, indicating the eventual need for repeated treatment.
摘要：
在美洲的一些地区,家犬是蜱类媒介血根虫的宿主，传播蜱传播的病原体立克次体立克次体，导致人类落基山斑点热（RMSF）。通过狗项圈和杀螨壁处理对载体进行干预。本文研究了杀螨壁处理的最优控制，使用针对该特定媒介开发的种群和疾病传播的先验模型，host,和病原体。在任务阶段使用死亡术语进行了修改，以反映控制成本和覆盖范围。在控制的存在下，感染Ri的狗和蜱的百分比。立克次西在短时间内减少，并在较长时间内保持抑制，包括停止治疗后。RMSF感染的风险在此期间下降了90％。在没有重新申请的情况下，感染蜱和狗的数量反弹，表明最终需要重复治疗。
