期刊
APPLIED MATHEMATICAL MODELLING
卷 61, 期 -, 页码 200-215出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2018.04.010
关键词
Water-biomass model; Soil-water diffusion feedback; Multiple scale analysis; Pattern transition; Ecosystem stability
资金
- National Natural Science Foundation of China [11671241, 11501338, 41530531, 11601292, 11601293]
- National Key Research and Development Program of China [2017YFC1502303]
- 131 Talents of Shanxi University
- Program for the Outstanding Innovative Teams (OIT) of Higher Learning Institutions of Shanxi, Natural Science Foundation of Shanxi Province [201601D021002]
- Tianyuan Youth Fund of Mathematics of China [11526129]
- Youth Science Fund of Shan'xi Province [2015021020]
It is well known that vegetation patterns characterize the distribution of the vegetation and provide some signs for vegetation protection. The positive feedbacks regulation between the water and plant biomass play an important role in the vegetation patterns in semi-arid environments, yet its influence on vegetation patterns is far from being well understood. In order to reveal a mechanism of positive feedbacks on pattern formation, a water-biomass model in semi-arid environments with soil-water diffusion feedback is presented. Our results reveal that, as the soil-water diffusion intensity decreases, the pattern transitions: gap patterns -> stripe (labyrinth) patterns -> spot patterns emerge. More importantly, when the soil-water diffusion feedback intensity is smaller, the feedback will promote the growth of the vegetation; when the feedback intensity is much larger, the vegetation biomass will decrease and the feedback may induce the emergence of desertification. Additionally, the rainfall can also induce the pattern transition. As the rainfall capacity decreases, the vegetation disappears and becomes the bare soil state. Our findings highlight the relationship among feedback intensity, rainfall and pattern dynamics of the vegetation. (C) 2018 Elsevier Inc. All rights reserved.
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