Optimal Control Strategy for SLBRS with Two Control Inputs

نویسندگان

چکیده

Computer virus attacks result in significant losses each year, drawing considerable attention from enterprises, governments, academic institutions, and various other sectors. Researchers have proposed approaches to fight against computer viruses, including antivirus software internet firewalls. In this paper, we focus on investigating transmission the perspective of mathematical modeling. Our main contributions paper are threefold: (1) improve classical SLBRS model by incorporating cure rates, effectively capturing dynamics network maintenance; (2) introduce an optimal control system within framework, with dual objectives minimizing detoxification costs reducing proportion broken-out nodes; (3) employing Pontryagin’s Maximum Principle, establish existence uniqueness strategy for system. Furthermore, perform numerical simulations demonstrate effectiveness our theoretical analyses.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11194036