Sensitivity Analysis and Optimal Control of Serial Killing

Jabeen S., Ullah R., Köksal M. E., Rehman S. U.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.48, sa.17, ss.15630-15639, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 17
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/mma.70038
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.15630-15639
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

This work focuses on eliminating serial killing by utilizing minimum resources. The initial crime transmission rate is examined using a mathematical model. We perform sensitivity analysis of the reproduction number R0$$ {\mathfrak{R}}_0 $$ to find the most active parameters regarding the transmission of crime. These active parameters are intervened using suitable control variables. The objective function is designed to control the crime-addicted classes at a minimum cost. To minimize the objective functional, Lagrangian and Hamiltonian are used. To check the validity of the results, numerical simulations through MATLAB are performed.