具有Holling-II 型和非局部时滞的植被模型斑图动力学(英)

梁娟, 李莉, 崔亮, 郭尊光 - 工程数学学报, 2021 - jgsx-csiam.org.cn
In arid or semi-arid regions, vegetation absorbs water through the nonlocal effects of roots.
The paper establishes a mathematical model with nonlocal delay and Holling-II functional …

[PDF][PDF] Effect of nonlocal delay with strong kernel on vegetation pattern

J Liang, G Sun - J. Appl. Anal. Comput., 2024 - jaac-online.com
In order to understand the mechanism of water uptake by vegetation, we propose a
vegetation-water model with nonlocal effect which is characterised by nonlocal delay with …

Spatiotemporal dynamics of a vegetation model with nonlocal delay in semi-arid environment

Q Xue, GQ Sun, C Liu, ZG Guo, Z Jin, YP Wu… - Nonlinear …, 2020 - Springer
Vegetation patterns can reflect the spatial distribution of vegetation in both space and time.
In semi-arid regions, the absorption of water by vegetation is a nonlocal process meaning …

Pattern dynamics of a vegetation model with nonlocal interactions

J Liang, LI LI, Z JIN, YP Wu, GL Feng, BL Li, GQ Sun - 2022 - researchsquare.com
In order to understand the mechanism of water uptake by vegetation, we propose a
vegetation-water model which represents nonlocal effect via nonlocal delay in this paper. By …

Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments

Q Xue, C Liu, L Li, GQ Sun, Z Wang - Applied Mathematics and …, 2021 - Elsevier
Vegetation pattern is caused by local instability in phase space, which can reflect the
distribution characteristics of vegetation in the studied space. In semi-arid environment, the …

[PDF][PDF] Nonlocal delay gives rise to vegetation patterns in a vegetation-sand model

J Li, G Guo, H Yuan - Mathematical Biosciences and Engineering, 2024 - aimspress.com
The vegetation pattern generated by aeolian sand movements is a typical type of vegetation
patterns in arid and semi-arid areas. This paper presents a vegetation-sand model with …

Precipitation governing vegetation patterns in an arid or semi-arid environment

C Wang, H Wang, S Yuan - Journal of Mathematical Biology, 2023 - Springer
In an arid or semi-arid environment, precipitation plays a vital role in vegetation growth.
Recent researches reveal that the response of vegetation growth to precipitation has a lag …

Pattern dynamics in a vegetation model with time delay

B Xie - Physica A: Statistical Mechanics and Its Applications, 2016 - Elsevier
A vegetation model with both cross diffusion and time delay is considered. Based upon a
stability analysis, we demonstrate that the delay affects the stability and spatial patterns …

Nonlocal interactions between vegetation induce spatial patterning

J Liang, C Liu, GQ Sun, L Li, L Zhang, M Hou… - Applied Mathematics …, 2022 - Elsevier
Vegetation pattern provides useful signals for vegetation protection and can be identified as
an early warning of desertification. In some arid or semi-arid regions, vegetation absorbs …

Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay

G Guo, Q Qin, H Cao, Y Jia, D Pang - Chaos, Solitons & Fractals, 2024 - Elsevier
Vegetation patterns can reflect vegetation's spatial distribution in space and time. The
saturated water absorption effect between the soil–water and vegetation plays a crucial role …