Optimal control of a tick population with a view to control of Rocky Mountain Spotted Fever.

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  • Author(s): McCarthy ML;McCarthy ML; Wallace DI; Wallace DI
  • Source:
    Mathematical biosciences and engineering : MBE [Math Biosci Eng] 2023 Oct 10; Vol. 20 (10), pp. 18916-18938.
  • Publication Type:
    Journal Article
  • Language:
    English
  • Additional Information
    • Source:
      Publisher: American Institute of Mathematical Sciences;; _b Beihang University Country of Publication: United States NLM ID: 101197794 Publication Model: Print Cited Medium: Internet ISSN: 1551-0018 (Electronic) Linking ISSN: 15471063 NLM ISO Abbreviation: Math Biosci Eng Subsets: MEDLINE
    • Publication Information:
      Original Publication: Springfield, MO, USA : [S.l.] : American Institute of Mathematical Sciences; Beihang University
    • Subject Terms:
      Rocky Mountain Spotted Fever*/epidemiology ; Rocky Mountain Spotted Fever*/prevention & control ; Rocky Mountain Spotted Fever*/veterinary ; Rhipicephalus sanguineus*/microbiology; Humans ; Animals ; Dogs ; Arachnid Vectors/microbiology ; Rickettsia rickettsii
    • 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.
    • Contributed Indexing:
      Keywords: Rhipicephalus sanguineus; Rickettsia rickettsii; Rocky Mountain Spotted Fever; insecticidal wall treatment; optimal control; tick-borne disease
    • Publication Date:
      Date Created: 20231205 Date Completed: 20231207 Latest Revision: 20231207
    • Publication Date:
      20231215
    • Accession Number:
      10.3934/mbe.2023837
    • Accession Number:
      38052583