Pattern formation of a spatial vegetation system with root hydrotropism

Liu, Chen; Wang, Fang-Guang; Xue, Qiang; Li, Li; Wang, Zhen

doi:10.1016/j.amc.2021.126913

Cited by 5 publications

(2 citation statements)

References 53 publications

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“…Moreover, we also study the relationship between the root hydrotropism effects and average vegetation biomass. We find that increasing the intensity of the hydrotropism of roots in a range can increase the average vegetation biomass which is consistent with the results in [35,41]. However, excessively increasing the strength of root hydrotropism, the spacing between the vegetation pattern also increases, which means that the ecosystem stability is reduced and prone to land desertification.…”

Section: Discussionsupporting

confidence: 88%

“…At present, it is not clear how the hydrotropism effect of vegetation roots affects the growth and distribution of vegetation. Therefore, to reveal the influence of hydrotropism of vegetation roots on vegetation growth and distribution, we build a spatial system with root hydrotropism effects based on the system of Klausmeier in this paper [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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Rich dynamics of a vegetation–water system with the hydrotropism effect

Wang

Hou

2023

Front. Phys.

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In recent years, with the abnormal global climate change, the problem of desertification has become more and more serious. The vegetation pattern is accompanied by desertification, and thus, the study of the vegetation pattern is helpful to better understand the causes of desertification. In this work, we reveal the influences of hydrotropism on the vegetation pattern based on a vegetation–water system in the form of reaction–diffusion equations. Parameter ranges for the steady-state mode obtained by analyzing the system show the dynamic behavior near the bifurcation point. Furthermore, we found that vegetation hydrotropism not only induces spatial pattern generation but also promotes the growth of vegetation itself in this area. Therefore, through the study of vegetation patterns, we can take corresponding preventive measures to effectively prevent land desertification and improve the stability of the ecosystem in the region.

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Section: Discussionsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Rich dynamics of a vegetation–water system with the hydrotropism effect

Wang

Hou

2023

Front. Phys.

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Pattern dynamics in a water–vegetation model with cross‐diffusion and nonlocal delay

Guo,

You,

Ahmed Abbakar

2024

Math Methods in App Sciences

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In semiarid areas, the positive feedback effect of vegetation and soil moisture plays an indispensable role in the water absorption process of plant roots. In addition, vegetation can absorb water through the nonlocal interaction of roots. Therefore, in this article, we consider how the interactions between cross‐diffusion and nonlocal delay affect vegetation growth. Through mathematical analysis, the conditions for the occurrence of the Turing pattern in the water–vegetation model are obtained. Meanwhile, using the multi‐scale analysis method, the amplitude equation near the Turing bifurcation boundary is obtained. By analyzing the stability of the amplitude equation, the conditions for the appearance of Turing patterns such as stripes, hexagons, and mixtures of stripes and hexagons are determined. Some numerical simulations are given to illustrate the analytical results, especially the evolution processes of vegetation patterns depicted under different parameters.

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