18 citations · 28 across the 3 of their papers we have counts for
3 papers
q-bio.PE2020★ 9 cited
A Finite Population Destroys a Traveling Wave in Spatial Replicator Dynamics
Christopher Griffin, Riley Mummah, Russ deForest
We derive both the finite and infinite population spatial replicator dynamics as the fluid limit of a stochastic cellular automaton. The infinite population spatial replicator is i…
q-bio.PE2018★ 1 cited
A game-theoretic mechanism for aggregation and dispersal of interacting populations
Russ deForest, Andrew Belmonte
We adapt a fitness function from evolutionary game theory as a mechanism for aggregation and dispersal in a partial differential equation (PDE) model of two interacting populations…
nlin.PS2012★ 18 cited
Spatial Pattern Dynamics due to the Fitness Gradient Flux in Evolutionary Games
Russ deForest, Andrew Belmonte
We introduce a non-diffusive spatial coupling term into the replicator equation of evolutionary game theory. The spatial flux is based on motion due to local gradients in the relat…