Multiregional SIR Model with Infection during Transportation
Keywords:epidemic spread, transportation model, dynamically defined delay, Lipschitz continuity
AbstractWe present a general epidemic model to describe the spread of an infectious disease in several regions connected by transportation. We take into account that infected individuals not only carry the disease to a new place while traveling from one region to another, but transmit the disease during travel as well. We obtain that a model structured by travel time is equivalent to a large system of differential equations with multiple delays. By showing the local Lipschitz property of the dynamically defined delayed feedback function, we obtain existence and uniqueness of solutions of the system.
The journal Biomath is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).