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Optimal control and basic reproduction numbers for a compartmental spatial multipatch dengue model
TU Kaiserslautern, Germany.ORCID iD: 0000-0002-8400-0416
Tu Kaiserslautern, Germany.
2018 (English)In: Mathematical methods in the applied sciences, ISSN 0170-4214, E-ISSN 1099-1476, Vol. 41, no 9, p. 3231-3245Article in journal (Refereed) Published
Abstract [en]

Dengue is a vector-borne viral disease increasing dramatically over the past years due to improvement in human mobility. In this work, a multipatch model for dengue transmission dynamics is studied, and by that, the control efforts to minimize the disease spread by host and vector control are investigated. For this model, the basic reproduction number is derived, giving a choice for parameters in the endemic case. The multipatch system models the host movement within the patches, which coupled via a residence-time budgeting matrix P. Numerical results confirm that the control mechanism embedded in incidence rates of the disease transmission effectively reduces the spread of the disease.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 41, no 9, p. 3231-3245
National Category
Other Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-124541DOI: 10.1002/mma.4812OAI: oai:DiVA.org:lnu-124541DiVA, id: diva2:1802875
Available from: 2023-10-06 Created: 2023-10-06 Last updated: 2023-10-19Bibliographically approved

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Bock, Wolfgang

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