ArticleJournal of mathematical biology2026
Modeling parasite clearance and transmission delays in American Cutaneous Leishmaniasis transmission dynamics.
Article in Journal of mathematical biology, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
American Cutaneous Leishmaniasis (ACL) is a multi-host vector-borne disease with complex transmission dynamics involving sand fly vectors, reservoirs, and incidental hosts. In this study, we develop and analyze two delay differential equation (DDE) models to explore the role of biological time delays in ACL transmission dynamics. The first model incorporates a delay in the parasite clearance term of the incidental host, reflecting the minimum parasite clearance time between infection and recovery. The second model introduces a delay that represents delays in skin lesion development following exposure to infective sand fly bites. For both models, we derived the basic reproduction number
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