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Tytuł:
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Complexity of host-vector dynamics in a two-strain dengue model.
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Autorzy:
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Rashkov P; Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria.
Kooi BW; Faculty of Science, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands.
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Źródło:
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Journal of biological dynamics [J Biol Dyn] 2021 Dec; Vol. 15 (1), pp. 35-72.
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Typ publikacji:
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Journal Article; Research Support, Non-U.S. Gov't
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Język:
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English
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Imprint Name(s):
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Original Publication: Abingdon, Oxon, UK : Taylor & Francis, c2007-
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MeSH Terms:
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Coinfection*
Dengue*
Animals ; Disease Vectors ; Humans ; Models, Biological
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Contributed Indexing:
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Keywords: 35B32; 37N25; 92D30; Dengue; Vector-borne disease dynamics; bifurcation analysis; two-strain model
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Entry Date(s):
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Date Created: 20201228 Date Completed: 20211028 Latest Revision: 20211028
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Update Code:
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20240105
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DOI:
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10.1080/17513758.2020.1864038
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PMID:
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33357025
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We introduce a compartmental host-vector model for dengue with two viral strains, temporary cross-immunity for the hosts, and possible secondary infections. We study the conditions on existence of endemic equilibria where one strain displaces the other or the two virus strains co-exist. Since the host and vector epidemiology follow different time scales, the model is described as a slow-fast system. We use the geometric singular perturbation technique to reduce the model dimension. We compare the behaviour of the full model with that of the model with a quasi-steady approximation for the vector dynamics. We also perform numerical bifurcation analysis with parameter values from the literature and compare the bifurcation structure to that of previous two-strain host-only models.
