BIOMECHANICS, BIOENGINEERING AND MATHEMATICAL BIOLOGY Seminar

PROGRAM

Plan rada Seminara iz Biomehanike, bioinžinjeringa i matematičke biologije za SEPTEMBAR 2022.

Ponedeljak, 12.09.2022. u 16:00, Online
Dr. Donna Dyer (Comissiong), Department of Mathematics and Statistics, Faculty of Science and Technology, The University of the West Indies, St. Augustine, Trinidad
A MATHEMATICAL MODEL EXPLORING OPTIMAL INTERVENTION STRATEGIES FOR CRIME PREVENTION
Criminal behaviour is a rapidly growing challenge internationally. While policy makers are charged with developing strategies to control its spread, they are usually limited by financial constraints. With the use of a model adapted from epidemiology and the Pontryagin maximum principle, we investigate intervention strategies in the form of time-dependent prevention and treatment controls targeting potential criminals and criminals respectively. By varying the relative weights attached to the cost or effort required to implement each intervention measure, different control strategies are investigated. Based on the numerical results obtained, we can conclude that a strategy with greater emphasis on prevention is the most cost effective and practical to implement. This strategy leads to the lowest proportion of potential criminals and the highest proportion of reformed people, while simultaneously minimising the burden associated with criminal behaviour and the intervention cost.