2025/12/08 by Guo, Jong-Shenq, Hamel, François, Wu, Chin-Chin
#Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.2512.07362
We study a singular diffusive prey-predator system with nonlocal dispersal for which the carrying capacity of the predator is proportional to the density of prey. We show the existence of positive one-dimensional traveling waves connecting the predator-free state and the constant co-existence state. The set of admissible wave speeds is proved to be equal to the semi-infinite interval [s^*,∞), for some s^*>0 which is characterized by a variational formula.