PROPAGATION DYNAMICS OF FORCED PULSATING WAVES OF A TIME PERIODIC LOTKA-VOLTERRA COOPERATIVE SYSTEM WITH NONLOCAL DIFFUSION IN SHIFTING

Zewen Gong; Hongmei Cheng; Rong Yuan

doi:10.11948/20240531

2025 Volume 15 Issue 5

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Zewen Gong, Hongmei Cheng, Rong Yuan. PROPAGATION DYNAMICS OF FORCED PULSATING WAVES OF A TIME PERIODIC LOTKA-VOLTERRA COOPERATIVE SYSTEM WITH NONLOCAL DIFFUSION IN SHIFTING[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 2805-2830. doi: 10.11948/20240531

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Zewen Gong, Hongmei Cheng, Rong Yuan. PROPAGATION DYNAMICS OF FORCED PULSATING WAVES OF A TIME PERIODIC LOTKA-VOLTERRA COOPERATIVE SYSTEM WITH NONLOCAL DIFFUSION IN SHIFTING[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 2805-2830. doi: 10.11948/20240531

PROPAGATION DYNAMICS OF FORCED PULSATING WAVES OF A TIME PERIODIC LOTKA-VOLTERRA COOPERATIVE SYSTEM WITH NONLOCAL DIFFUSION IN SHIFTING

1.
School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
2.
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Author Bio: Email: 2570235624@qq.com(Z. Gong); Email: ryuan@bnu.edu.cn(R. Yuan)
Corresponding author: Email: hmcheng@sdnu.edu.cn(H. Cheng)

Abstract

Abstract

In this paper, we will concern the existence, asymptotics and stability of forced pulsating waves in a Lotka-Volterra cooperative system with nonlocal diffusion under shifting habitats. By using alternatively-coupling upper-lower solution method, we establish the existence of forced pulsating waves for any given positive speed of the shifting habitat. The asymptotic behaviors of the forced pulsating waves are derived. Finally, with proper initial value, the stability of the forced pulsating waves is studied by the squeezing technique based on the comparison principle.
- Nonlocal diffusion /
- time periodic Lotka-Volterra system /
- forced pulsating waves /
- shifting habitats
MSC: 35A01, 35C07, 35K57

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References

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