ASYMPTOTIC SPREADING IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL

Xiaoming Yang; Guo Lin; Jianing Yang

doi:10.11948/20200290

2021 Volume 11 Issue 4

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Xiaoming Yang, Guo Lin, Jianing Yang. ASYMPTOTIC SPREADING IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1951-1962. doi: 10.11948/20200290

Citation:

Xiaoming Yang, Guo Lin, Jianing Yang. ASYMPTOTIC SPREADING IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1951-1962. doi: 10.11948/20200290

ASYMPTOTIC SPREADING IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL

1.
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China
2.
Cuiying Honors College, Lanzhou University, Lanzhou, Gansu 730000, China

Corresponding author: Email: ling@lzu.edu.cn(G. Lin)
Fund Project: Research was partially supported by NSF of China (Nos. 11731005, 11971213) and Fundamental Research Funds for the Central Universities (lzujbky-2020- 11)

Abstract

Abstract

This paper is concerned with the long time behavior of a competition system with nonlocal dispersal. When the initial conditions of both unknown functions satisfy proper decay behavior, we obtain the rough spreading speed of one unknown function and show the upper and lower bounds of spreading speed of another unknown function. Moreover, a numerical example is given to illustrate our analytic results. Our conclusions imply that both the linear part and nonlinear part in reaction terms may affect the spreading speeds. Moreover, in such a competitive system with constant coefficients, we may observe the propagation terraces in some component.
- Noncooperative system /
- upper and lower solutions /
- auxiliary system

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References

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