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math.AP2025
Quadratic Growth Model with Discontinuity: A Link between Monostable and Bistable Traveling Waves
Wonhyung Choi, Junsik Bae, Yong-Jung Kim
We classify traveling waves and stationary solutions of a reaction-diffusion equation arising in population dynamics with Allee-type effects. The reaction term is given by a quadra…
math.AP2025
Impact of diffusion mechanisms on persistence and spreading
Nathanaël Boutillon, Yong-Jung Kim, Lionel Roques
We examine a generalized KPP equation with a ``-diffusion", which is a framework that unifies various standard linear diffusion regimes: Fickian diffusion (), Stratonovic…