2020
DOI: 10.1016/j.idm.2020.05.002
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Deterministic approaches for head lice infestations and treatments

Abstract: Pediculus humanus capitis are human ectoparasites which cause infestations, mostly in children, worldwide. Understanding the life cycle of head lice is an important step in knowing how to treat lice infestations, as the parasite behavior depends considerably on its age and gender. In this work we propose a mathematical model for head lice population dynamics in hosts who could be or not quarantined and treated. Considering a lice population structured by age and gender we formulate the model as a sy… Show more

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Cited by 4 publications
(3 citation statements)
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“…This indicates that the Permethrin 1% treatment effectively eradicates Pediculosis capitis (Maryanti & Lestari, 2020). Further, this also indicates that the residents adhered to our instruction to repeat the treatment on days 7 and 14, maintain their hygiene, keep their hair clean, and cease towel and hair combs sharing behaviour (Castelletti & Barbarossa, 2020;Ganesan, H., & Damayanti, P. A. A, 2017;Gharsan et al, 2016;Maryanti & Lestari, 2020).…”
Section: Resultsmentioning
confidence: 74%
“…This indicates that the Permethrin 1% treatment effectively eradicates Pediculosis capitis (Maryanti & Lestari, 2020). Further, this also indicates that the residents adhered to our instruction to repeat the treatment on days 7 and 14, maintain their hygiene, keep their hair clean, and cease towel and hair combs sharing behaviour (Castelletti & Barbarossa, 2020;Ganesan, H., & Damayanti, P. A. A, 2017;Gharsan et al, 2016;Maryanti & Lestari, 2020).…”
Section: Resultsmentioning
confidence: 74%
“…Infected and non-infected populations interact in three ways: 1) by horizontal transmission (when a non-infected individual becomes infected (Ebert 2013), 2) by clearing (when an infected individual becomes non-infected), and 3) competition between individuals of the two populations. Implementing the interactions in the structured model results in high-dimensional systems with limited analytical tractability (Castelletti and Barbarossa 2020; Tian et al 2018). To avoid these difficulties, we assume continuous-time population dynamics with the Malthusian growth rates derived from the structured model.…”
Section: Competitive Selection Dynamics For the Resident Systemmentioning
confidence: 99%
“… 8 , 10 Usually, a minute amount of saliva from the louse with anticoagulant and vasodilatory properties is inoculated into the scalp with each blood meal, thereby facilitating the sucking of the host’s blood. 2 , 11 , 12 Without blood meals, head lice can normally survive for up to 55 hours away from the human host, 13 , 14 although they may live for up to 4 days in favourable conditions. 1 Lice eggs, on the other hand, can survive for up to 10 days off the human body.…”
Section: Introductionmentioning
confidence: 99%