A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations
We consider a cooperating two-species Lotka-Volterra model of degenerate parabolic equations. We are interested in the coexistence of the species in a bounded domain. We establish the existence of global generalized solutions of the initial boundary value problem by means of parabolic regularization...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/714248 |
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| _version_ | 1832552224883998720 |
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| author | Jiebao Sun Dazhi Zhang Boying Wu |
| author_facet | Jiebao Sun Dazhi Zhang Boying Wu |
| author_sort | Jiebao Sun |
| collection | DOAJ |
| description | We consider a cooperating two-species Lotka-Volterra model of degenerate
parabolic equations. We are interested in the coexistence of the species in a bounded domain. We establish the existence of global generalized solutions of the initial boundary value problem by means of parabolic regularization and also consider the existence of the nontrivial time-periodic solution for this system. |
| format | Article |
| id | doaj-art-52f753edd2084fa38cb44d0e8bc0f3b3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-52f753edd2084fa38cb44d0e8bc0f3b32025-02-03T05:59:10ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/714248714248A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic EquationsJiebao Sun0Dazhi Zhang1Boying Wu2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe consider a cooperating two-species Lotka-Volterra model of degenerate parabolic equations. We are interested in the coexistence of the species in a bounded domain. We establish the existence of global generalized solutions of the initial boundary value problem by means of parabolic regularization and also consider the existence of the nontrivial time-periodic solution for this system.http://dx.doi.org/10.1155/2011/714248 |
| spellingShingle | Jiebao Sun Dazhi Zhang Boying Wu A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations Abstract and Applied Analysis |
| title | A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations |
| title_full | A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations |
| title_fullStr | A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations |
| title_full_unstemmed | A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations |
| title_short | A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations |
| title_sort | two species cooperative lotka volterra system of degenerate parabolic equations |
| url | http://dx.doi.org/10.1155/2011/714248 |
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