Google Play icon

Math models analyze long-term criminal activity patterns in a population

Share
Posted March 20, 2014

In a paper published last November in Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, authors Henri Berestycki, Nancy Rodríguez, and Lenya Ryzhik show that the assumption of a population’s natural tendency towards crime significantly changes long-term criminal activity patterns. The authors use a reaction-diffusion system to study criminal activity.

A reaction-diffusion model of a system describes how components of a system interact (in this case population zones and criminals) and predict how one or more of the components (in this case criminals) move in space and time. Reaction-diffusion models have traveling wave solutions where the waveform is a function of a single variable and the wave travels at a constant speed. The authors show that traveling wave solutions of such a model connect zones with no criminal activity with zones of high criminal activity (or hotspots). This corresponds to an invasion of criminal activity into all space.

The paper studies the problem of preventing such invasions by employing a finite number of resources that reduce payoff for committing a crime, as well as characterizes the minimum amount of resources necessary to prevent invasion of criminal activity.

Read more at: Phys.org

Featured news from related categories:

Technology Org App
Google Play icon
84,820 science & technology articles

Most Popular Articles

  1. New Class of Painkillers Offers all the Benefits of Opioids, Minus the Side Effects and Addictiveness (2 days old)
  2. Top NASA Manager Says the 2024 Moon Landing by Astronauts might not Happen (September 19, 2019)
  3. How social media altered the good parenting ideal (September 4, 2019)
  4. What's the difference between offensive and defensive hand grenades? (September 26, 2019)
  5. Just How Feasible is a Warp Drive? (September 25, 2019)

Follow us

Facebook   Twitter   Pinterest   Tumblr   RSS   Newsletter via Email