ArticleJournal of mathematical biology2020
An almost periodic Ross-Macdonald model with structured vector population in a patchy environment.
Article in Journal of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- A nonlocal West Nile virus model with nonlocal free boundary conditions driven by both mosquitoes and birds.Journal of mathematical biology · 2026Article
- A hybrid Lagrangian-Eulerian model for vector-borne diseases.Journal of mathematical biology · 2024Article
- An almost periodic model to describe phenology mismatches in mutualistic interactions.Theory in biosciences = Theorie in den Biowissenschaften · 2022Article
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Abstract
An almost periodic Ross-Macdonald model with age structure for the vector population in a patchy environment is considered. The basic reproduction ratio [Formula: see text] for this model is derived and a threshold-type result on its global dynamics in terms of [Formula: see text] is established. It is shown that the disease is uniformly persistent if [Formula: see text], while the disease will die out if [Formula: see text]. Numerical simulations show that the biting rate greatly affects the disease transmission, and human migration sometimes could reduce the transmission risk. We further obtain a condition numerically to determine whether a control strategy on migration is necessary. Moreover, numerical results indicate that prolonging the length of maturation period of vector is beneficial to the disease control, and the threshold length of the maturation period for disease outbreak can be computed. Finally, the comparison between the almost periodic and periodic models shows that the periodic model may overestimate or underestimate the disease transmission risk.
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