JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (7): 93-107.doi: 10.6040/j.issn.1671-9352.0.2024.412

• Mathematical Biology • Previous Articles    

Spreading speed of a class of Field-Road models with nonlocal dispersal

AN Da, ZHANG Xiao*   

  1. School of Mathematics and Statistics, Xidian University, Xian, 710071, Shaanxi, China
  • Published:2026-07-01

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Abstract: To address the limitations of traditional local dispersal models in characterizing long-distance propagation, this paper studies a class of Field-Road models with nonlocal dispersal, building on the Field-Road model with local dispersal proposed by Berestycki et al. Firstly, we establish the threshold of fast diffusion roads to accelerate spreading speed of species and prove the existence of spreading speed along the road direction by constructing appropriate super-and sub-solutions and combining the comparison principle. Secondly, the influences of the diffusion rate of species on the road, the support radius of the nonlocal dispersal kernel function and the convection intensity on spreading speed are studied. The results show that the three parameters all accelerate spreading speed and it maintains the same order linear growth with the square root of the diffusion rate, the support radius and the convection intensity.

Key words: Field-Road model, spreading speed, nonlocal dispersal

CLC Number: 

  • O175
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