Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion
We consider competition systems of two species which have different dispersal strategies and interspecific competitive strengths. One of the dispersal strategies is random dispersal and the other is a Fokker-Planck diffusion whose motility is piecewise constant and jumps up when the resource is not...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/7879598 |
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| _version_ | 1832553679252619264 |
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| author | Jaywan Chung Ohsang Kwon |
| author_facet | Jaywan Chung Ohsang Kwon |
| author_sort | Jaywan Chung |
| collection | DOAJ |
| description | We consider competition systems of two species which have different dispersal strategies and interspecific competitive strengths. One of the dispersal strategies is random dispersal and the other is a Fokker-Planck diffusion whose motility is piecewise constant and jumps up when the resource is not enough. In this paper, first we show the Fokker-Planck diffusion allows ideal free distribution. Next we show the linear stability of semitrivial steady states is determined exactly by a threshold on the interspecific competitive strengths. Some conditions for coexistence and global asymptotic stability are also provided. |
| format | Article |
| id | doaj-art-5414445fb5134c58ab8dbabb57d4462e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5414445fb5134c58ab8dbabb57d4462e2025-02-03T05:53:32ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/78795987879598Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck DiffusionJaywan Chung0Ohsang Kwon1Thermoelectric Conversion Research Center, Korea Electrotechnology Research Institute, 12 Bulmosan-ro 10beon-gil, Seongsan-gu, Changwon-si, Gyeongsangnam-do 51543, Republic of KoreaDepartment of Mathematics, Chungbuk National University, Chungdae-ro 1, Seowon-Gu, Cheongju, Chungbuk 28644, Republic of KoreaWe consider competition systems of two species which have different dispersal strategies and interspecific competitive strengths. One of the dispersal strategies is random dispersal and the other is a Fokker-Planck diffusion whose motility is piecewise constant and jumps up when the resource is not enough. In this paper, first we show the Fokker-Planck diffusion allows ideal free distribution. Next we show the linear stability of semitrivial steady states is determined exactly by a threshold on the interspecific competitive strengths. Some conditions for coexistence and global asymptotic stability are also provided.http://dx.doi.org/10.1155/2018/7879598 |
| spellingShingle | Jaywan Chung Ohsang Kwon Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion Journal of Function Spaces |
| title | Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion |
| title_full | Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion |
| title_fullStr | Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion |
| title_full_unstemmed | Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion |
| title_short | Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion |
| title_sort | dynamics of lotka volterra competition systems with fokker planck diffusion |
| url | http://dx.doi.org/10.1155/2018/7879598 |
| work_keys_str_mv | AT jaywanchung dynamicsoflotkavolterracompetitionsystemswithfokkerplanckdiffusion AT ohsangkwon dynamicsoflotkavolterracompetitionsystemswithfokkerplanckdiffusion |