4 citations · 4 across the 5 of their papers we have counts for
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Large population limit of interacting population dynamics via generalized gradient structures
Jasper Hoeksema, Anastasiia Hraivoronska, Oliver Tse
This chapter focuses on the derivation of a doubly nonlocal Fisher-KPP model, which is a macroscopic nonlocal evolution equation describing population dynamics in the large populat…
Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming
Nilasis Chaudhuri, Young-Pil Choi, Oliver Tse +1
We consider a one-dimensional hydrodynamic model featuring nonlocal attraction-repulsion interactions and singular velocity alignment. We introduce a two-velocity reformulation and…
Generalized gradient structures for measure-valued population dynamics and their large-population limit
Jasper Hoeksema, Oliver Tse
We consider the forward Kolmogorov equation corresponding to measure-valued processes stemming from a class of interacting particle systems in population dynamics, including variat…