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math.AP2026
Asymptotic spreading speeds of a road-field reaction-diffusion predator-prey model
Yaqian Xu, Shigui Ruan, Zhi-Cheng Wang
This paper is devoted to studying asymptotic spreading speeds of a road-field reaction-diffusion predator-prey system, in which predators diffuse faster on the straight line $\R\ti…
math.AP2026
Propagation dynamics for nonlocal dispersal predator-prey systems in shifting habitats: A Hamilton-Jacobi approach
Wen Tao, Wan-Tong Li, Shigui Ruan +1
This paper is concerned with the spreading speeds of nonlocal dispersal predator-prey systems in shifting habitats under general initial conditions. By employing geometric optics t…