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A model for the transmission dynamics of Orientia tsutsugamushi among its natural reservoirs
Authors:Byul Nim Kim  Yongkuk Kim
Institution:a Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of Korea
b Department of Mathematical Sciences, University of Puerto Rico, Mayagüez, Puerto Rico
Abstract:The bacteria Orientia tsutsugamushi is the causative agent of scrub typhus, a prevalent disease in Asian countries that can affect humans and which shows an alarming increase of cases during the last years, especially in rural areas. Unfortunately, there is no vaccine for scrub typhus, and antibiotic treatments successfully used in the past appear to be inefficient to treat some strains of O. tsutsugamushi. We introduce a mathematical model that approximates the dynamics of the bacteria among its natural reservoirs. After computing the basic reproductive number from the proposed model, we explore its sensitivity to the parameter values that may be affected by application of control measures. This theoretical model may be of interest to pest managers as well as health authorities interested in gaining insight into the public management of the disease, through a better understanding of its qualitative dynamics.
Keywords:Scrub typhus  Mathematical model  Basic reproductive number  Trombiculid mites
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