Spatial dynamics of a vegetation model in an arid flat environment
Self-organized vegetation patterns in space were found in arid and semi-arid areas. In this paper, we modelled a vegetation model in an arid flat environment using reaction-diffusion form and investigated the pattern formation. By using Hopf and Turing bifurcation theory, we obtain Turing region in...
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| Veröffentlicht in: | Nonlinear dynamics 2013-09, Vol.73 (4), p.2207-2219 |
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| creator | Sun, Gui-Quan Li, Li Zhang, Zi-Ke |
| description | Self-organized vegetation patterns in space were found in arid and semi-arid areas. In this paper, we modelled a vegetation model in an arid flat environment using reaction-diffusion form and investigated the pattern formation. By using Hopf and Turing bifurcation theory, we obtain Turing region in parameters space. It is found that there are different types of stationary patterns including spotted, mixed, and stripe patterns by amplitude equation. Moreover, we discuss the changes of the wavelength with respect to biological parameters. Specifically, the wavelength becomes smaller as rainfall increases and larger as plant morality increases. The results may well explain the vegetation pattern observed in the real world and provide some new insights on preventing from desertification. |
| doi_str_mv | 10.1007/s11071-013-0935-3 |
| format | Article |
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In this paper, we modelled a vegetation model in an arid flat environment using reaction-diffusion form and investigated the pattern formation. By using Hopf and Turing bifurcation theory, we obtain Turing region in parameters space. It is found that there are different types of stationary patterns including spotted, mixed, and stripe patterns by amplitude equation. Moreover, we discuss the changes of the wavelength with respect to biological parameters. Specifically, the wavelength becomes smaller as rainfall increases and larger as plant morality increases. 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The results may well explain the vegetation pattern observed in the real world and provide some new insights on preventing from desertification.</description><subject>Arid regions</subject><subject>Aridity</subject><subject>Automotive Engineering</subject><subject>Bifurcation theory</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Desertification</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Mathematical models</subject><subject>Mechanical Engineering</subject><subject>Morality</subject><subject>Original Paper</subject><subject>Parameters</subject><subject>Rainfall</subject><subject>Semi arid areas</subject><subject>Vegetation</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kE1LAzEQhoMoWKs_wFvAi5fVmWSzuzlq8QsKHuyht5Am2bJlN6nJttB_b6SCIAgDc5jnfRkeQq4R7hCgvk-IUGMByAuQXBT8hExQ1LxglVyekglIVuYLLM_JRUobAOAMmgl5_NjqsdM9tQevh84kGlqq6d6t3ZgPwdMhWNfTzlOdJ3aWtr0eqfP7LgY_OD9ekrNW98ld_ewpWTw_LWavxfz95W32MC8Ml2wssK6xFK4CW3JXOsGZWJW6tUwaA2C1raFaAcpG6Mpo5FoAXxkUoKvGVoZPye2xdhvD586lUQ1dMq7vtXdhl1QmK15jU0JGb_6gm7CLPj-nGBOy5ChQZgqPlIkhpehatY3doONBIahvqeooVWWp6luq4jnDjpmUWb928bf5_9AXlYl4IQ</recordid><startdate>20130901</startdate><enddate>20130901</enddate><creator>Sun, Gui-Quan</creator><creator>Li, Li</creator><creator>Zhang, Zi-Ke</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20130901</creationdate><title>Spatial dynamics of a vegetation model in an arid flat environment</title><author>Sun, Gui-Quan ; 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| subjects | Arid regions Aridity Automotive Engineering Bifurcation theory Classical Mechanics Control Desertification Dynamical Systems Engineering Mathematical models Mechanical Engineering Morality Original Paper Parameters Rainfall Semi arid areas Vegetation Vibration |
| title | Spatial dynamics of a vegetation model in an arid flat environment |
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