Optimal control measures for a susceptible‐carrier‐infectious‐recovered‐susceptible malware propagation model

Autor: M. Teresa T. Monteiro, João N.C. Gonçalves, Helena Sofia Rodrigues
Přispěvatelé: Universidade do Minho
Rok vydání: 2019
Předmět:
Zdroj: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
ISSN: 1099-1514
0143-2087
DOI: 10.1002/oca.2505
Popis: Purposing to lessen malware propagation, this paper proposes optimal control measures for a susceptible-carrier-infectious-recovered-susceptible (SCIRS) epidemiological model formed by a system of ordinary differential equations. By taking advantage of real-world data related to the number of reported cybercrimes in Japan from 2012 to 2017, an optimal control problem is formulated to minimize the number of infected devices in a cost-effective way. The existence and uniqueness of the results related to the optimality system are proved. Overall, numerical simulations show the usefulness of the proposed control strategies in reducing the spread of malware infections.
Fundação para a Ciência e Tecnologia, Grant/Award Number: UID/MAT/04106/2019 and UID/CEC/00319/2019
Databáze: OpenAIRE