91 citations · 105 across the 8 of their papers we have counts for
10 papers
Nonlocal Mechanistic Models in Ecology: Numerical Methods and Parameter Inferencing
Erin Ellefsen, Nancy Rodriguez
Animals use various processes to inform themselves about their environment and make decisions about how to move and form their territory. In some cases, populations inform themselv…
Traveling wave solutions in a model for social outbursts in a tension-inhibitive regime
Marzieh Bakhshi, Anna Ghazaryan, Vahagn Manukian +1
In this work we investigate the existence of non-monotone traveling wave solutions to a reaction-diffusion system modeling social outbursts, such as rioting activity, originally pr…
Analysis of a cross-diffusion model for rival gangs interaction in a city
Alethea B. T. Barbaro, Nancy Rodriguez, Havva Yoldaş +1
We study a two-species cross-diffusion model that is inspired by a system of convection-diffusion equations derived from an agent-based model on a two-dimensional discrete lattice.…
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation
Nancy Rodriguez, Michael Winkler
We consider a class of macroscopic models for the spatio-temporal evolution of urban crime, as originally going back to Short et al. (Math. Mod. Meth. Appl. Sci. 18, 2008). The foc…
On the global existence and qualitative behavior of one-dimensional solutions to a model for urban crime
Nancy Rodriguez, Michael Winkler
We consider the no-flux initial-boundary value problem for the cross-diffusive evolution system \begin{eqnarray*} \left\{ \begin{array}{ll} u_t = u_{xx} - χ\big(\frac{u}{v} \partia…
Epidemiological modeling of the 2005 French riots: a spreading wave and the role of contagion
Laurent Bonnasse-Gahot, Henri Berestycki, Marie-Aude Depuiset +4
As a large-scale instance of dramatic collective behaviour, the 2005 French riots started in a poor suburb of Paris, then spread in all of France, lasting about three weeks. Remark…