29 citations · 47 across the 12 of their papers we have counts for
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nlin.AO2014★ 29 cited
Modeling ant foraging: a chemotaxis approach with pheromones and trail formation
Paulo Amorim
We consider a continuous mathematical description of a population of ants and simulate numerically their foraging behavior using a system of partial differential equations of chemo…
math.AP2014
The obstacle-mass constraint problem for hyperbolic conservation laws. Solvability
Paulo Amorim, Wladimir Neves, José Francisco Rodrigues
In this work we introduce the obstacle-mass constraint problem for a multidimensional scalar hyperbolic conservation law. We prove existence of an entropy solution to this problem…
math.AP2014
A continuous model of ant foraging with pheromones and trail formation
Paulo Amorim
We propose and numerically analyze a PDE model of ant foraging behavior. Ant foraging is a prime example of individuals following simple behavioral rules based on local information…