Pattern dynamics of a vegetation-water model with saturated effect and diffusion feedback
Desertification represents one of the most pressing ecological challenges globally, where vegetation patterns serve as critical indicators of ecosystem resilience and early-warning signatures of ecological degradation. Soil water diffusive feedbacks and saturation water uptake by vegetation are impo...
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| Veröffentlicht in: | Physica A Jg. 673; S. 130676 |
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| Sprache: | Englisch |
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01.09.2025
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| ISSN: | 0378-4371 |
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| Abstract | Desertification represents one of the most pressing ecological challenges globally, where vegetation patterns serve as critical indicators of ecosystem resilience and early-warning signatures of ecological degradation. Soil water diffusive feedbacks and saturation water uptake by vegetation are important mechanisms for vegetation-water interactions in arid and semi-arid environments. In this paper, a Klausmeier-type vegetation-water model is investigated to study the mechanism of vegetation pattern formation by incorporating a saturated water absorption term and soil water diffusion feedback. We derive amplitude equations near the Turing bifurcation point, revealing selection criteria and stability conditions for vegetation patterns. Our findings reveal that the saturated water absorption effect induces pattern phase transitions, the feedback mechanism of soil water diffusion accelerates desertification, and precipitation gradients induce the emergence of a bistable coexistence phenomenon. These results provide theoretical insights into the dynamics of vegetation patterns and offer guidance for ecosystem management and desertification control. |
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| AbstractList | Desertification represents one of the most pressing ecological challenges globally, where vegetation patterns serve as critical indicators of ecosystem resilience and early-warning signatures of ecological degradation. Soil water diffusive feedbacks and saturation water uptake by vegetation are important mechanisms for vegetation-water interactions in arid and semi-arid environments. In this paper, a Klausmeier-type vegetation-water model is investigated to study the mechanism of vegetation pattern formation by incorporating a saturated water absorption term and soil water diffusion feedback. We derive amplitude equations near the Turing bifurcation point, revealing selection criteria and stability conditions for vegetation patterns. Our findings reveal that the saturated water absorption effect induces pattern phase transitions, the feedback mechanism of soil water diffusion accelerates desertification, and precipitation gradients induce the emergence of a bistable coexistence phenomenon. These results provide theoretical insights into the dynamics of vegetation patterns and offer guidance for ecosystem management and desertification control. |
| ArticleNumber | 130676 |
| Author | Bai, Huimin Li, Li Fan, Yu-Xuan |
| Author_xml | – sequence: 1 givenname: Huimin surname: Bai fullname: Bai, Huimin organization: Department of Mathematics, North University of China, Taiyuan 030051, Shanxi, China – sequence: 2 givenname: Yu-Xuan surname: Fan fullname: Fan, Yu-Xuan organization: Complex Systems Research Center, Shanxi University, Taiyuan, 030006, Shanxi, China – sequence: 3 givenname: Li surname: Li fullname: Li, Li email: lili831113@sxu.edu.cn organization: School of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, China |
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| Keywords | Soil water diffusion feedback Multi-scale analysis Bifurcation phenomena Vegetation patterns Saturation water absorption effect |
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