Abstract
Many mathematical models describing the evolution of infectious diseases underestimate the effect of the Spatio-temporal spread of epidemics. Currently, the COVID-19 epidemic shows the importance of taking into account the spatial dynamic of epidemics and pandemics. In this contribution, we consider a multi-region discretetime epidemic model that describes the spatial spread of an epidemic within different geographical zones assumed to be connected with the movements of their populations. Based on the fact that there are several limitations in medical resources, the authorities and health decision-makers must define a threshold of infections in order to determine if a zone is epidemic or not yet. We propose a new approach of optimal control by defining new importance functions to identify affected zones and then the need for the control intervention there. Numerical results are provided to illustrate our findings by applying this new approach in two adjacent regions of Morocco, the Casablanca-Settat and Rabat-Sale-K´ enitra regions. We investigate different scenarios to show the most effective ´ scenario, based on thresholds’ values.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
