69 citations · 196 across the 30 of their papers we have counts for
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math.AP2014★ 27 cited
First-order aggregation models and zero inertia limits
Razvan Fetecau, Weiran Sun
We consider a first-order aggregation model in both discrete and continuum formulations and show rigorously how it can be obtained as zero inertia limits of second-order models. In…
math.CA2014★ 1 cited
Anisotropic interactions in a first-order aggregation model: a proof of concept
Joep H. M. Evers, Razvan C. Fetecau, Lenya Ryzhik
We extend a well-studied ODE model for collective behaviour by considering anisotropic interactions among individuals. Anisotropy is modelled by limited sensorial perception of ind…