LAPSE:2021.0080
Published Article
LAPSE:2021.0080
Resource Allocation in Two-Patch Epidemic Model with State-Dependent Dispersal Behaviors Using Optimal Control
Sunmi Lee, Okbun Baek, Luis Melara
February 22, 2021
A two-patch epidemic model is considered in order to assess the impact of virtual dispersal on disease transmission dynamics. The two-patch system models the movement of individuals between the two-patches using a residence-time matrix P, where P depends on both residence times and state variables (infected classes). In this work, we employ this approach to a general two-patch SIR model in order to investigate the effect of state dependent dispersal behaviors on the disease dynamics. Furthermore, optimal control theory is employed to identify and evaluate patch-specific control measures aimed at reducing disease prevalence at a minimal cost. Optimal policies are computed under various dispersal scenarios (depending on the different residence-time matrix configurations). Our results suggest there is a reduction of the outbreak and the proportion of time spent by individuals in a patch exhibits less fluctuations in the presence of patch-specific optimal controls. Furthermore, the optimal strategies for each patch differ depending on the type of dispersal behavior and the different infection rate in a patch. In all of our results, we obtain that the optimal strategies reduce the number of infections per patch.
Keywords
final epidemic size, optimal control interventions, the basic reproduction number, two-patch model with virtual dispersal
Suggested Citation
Lee S, Baek O, Melara L. Resource Allocation in Two-Patch Epidemic Model with State-Dependent Dispersal Behaviors Using Optimal Control. (2021). LAPSE:2021.0080
Author Affiliations
Lee S: Department of Applied Mathematics, Kyung Hee University, Yongin 446-701, Korea [ORCID]
Baek O: Department of Applied Mathematics, Kyung Hee University, Yongin 446-701, Korea
Melara L: Department of Mathematics, Shippensburg University, 1871 Old Main Drive, Shippensburg, PA 17257, USA
Journal Name
Processes
Volume
8
Issue
9
Article Number
E1087
Year
2020
Publication Date
2020-09-02
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr8091087, Publication Type: Journal Article
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LAPSE:2021.0080
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doi:10.3390/pr8091087
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Feb 22, 2021
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CC BY 4.0
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Feb 22, 2021
 
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Feb 22, 2021
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Original Submitter
Calvin Tsay
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