Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume 19, Issue 5, Pages 1459-1477Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2014.19.1459
Keywords
Stochastic dynamical systems; point processes; network dynamics; crime modeling
Categories
Funding
- AFOSR-MURI grant [FA9550-10-1-0569]
- ARO grant [58344-MA]
- NSF grant [DMS-0968309]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0968309] Funding Source: National Science Foundation
Ask authors/readers for more resources
We introduce a point process model for inter-gang violence driven by retaliation a core feature of gang behavior and multi-party inhibition. Here, a coupled system of state-dependent jump stochastic differential equations is used to model the conditional intensities of the directed network of gang rivalries. The system admits an exact simulation strategy based upon Poisson thinning. The model produces a wide variety of transient or stationary weighted network configurations and we investigate under what conditions each type of network forms in the continuum limit. We then fit the model to gang violence data provided by the Hollenbeck district of the Los Angeles Police Department to measure the levels of excitation and inhibition present in gang violence dynamics, as well as the stability of gang rivalries in Hollenbeck.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available