Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing
The growth of vegetation is undeniably subject to random fluctuations arising from environmental variability and internal effects due to periodic forcing. To address these issues, we investigated a spatial version of a vegetation model including seasonal rainfall, noise, and diffusion. By numerical...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/218053 |
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| _version_ | 1841524844562219008 |
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| author | Xia-Xia Zhao Jian-Zhong Wang |
| author_facet | Xia-Xia Zhao Jian-Zhong Wang |
| author_sort | Xia-Xia Zhao |
| collection | DOAJ |
| description | The growth of vegetation is undeniably subject to random fluctuations arising from environmental variability and internal effects due to periodic forcing. To address these issues, we investigated a spatial version of a vegetation model including seasonal rainfall, noise, and diffusion. By numerical simulations, we found that noise can induce the pattern transition from stationary pattern to other patterns. More specifically, when noise intensity is small, patch invasion is induced. As noise intensity further increases, chaotic patterns emerge. For the system with noise and seasonal rainfall, it exhibits frequency-locking phenomena. Patterns transition may be a warning signal for the onset of desertification and thus the obtained results may provide some measures to protect vegetation, such as reducing random factors or changing irrigation on vegetation. |
| format | Article |
| id | doaj-art-3c0d61ce424a4ec3a79b412a642398ab |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3c0d61ce424a4ec3a79b412a642398ab2025-02-03T05:47:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/218053218053Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic ForcingXia-Xia Zhao0Jian-Zhong Wang1National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan, Shanxi 030051, ChinaNational Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan, Shanxi 030051, ChinaThe growth of vegetation is undeniably subject to random fluctuations arising from environmental variability and internal effects due to periodic forcing. To address these issues, we investigated a spatial version of a vegetation model including seasonal rainfall, noise, and diffusion. By numerical simulations, we found that noise can induce the pattern transition from stationary pattern to other patterns. More specifically, when noise intensity is small, patch invasion is induced. As noise intensity further increases, chaotic patterns emerge. For the system with noise and seasonal rainfall, it exhibits frequency-locking phenomena. Patterns transition may be a warning signal for the onset of desertification and thus the obtained results may provide some measures to protect vegetation, such as reducing random factors or changing irrigation on vegetation.http://dx.doi.org/10.1155/2014/218053 |
| spellingShingle | Xia-Xia Zhao Jian-Zhong Wang Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing Discrete Dynamics in Nature and Society |
| title | Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing |
| title_full | Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing |
| title_fullStr | Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing |
| title_full_unstemmed | Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing |
| title_short | Rich Spatiotemporal Dynamics of a Vegetation Model with Noise and Periodic Forcing |
| title_sort | rich spatiotemporal dynamics of a vegetation model with noise and periodic forcing |
| url | http://dx.doi.org/10.1155/2014/218053 |
| work_keys_str_mv | AT xiaxiazhao richspatiotemporaldynamicsofavegetationmodelwithnoiseandperiodicforcing AT jianzhongwang richspatiotemporaldynamicsofavegetationmodelwithnoiseandperiodicforcing |