Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in ℝ1
A Holling type III predator-prey model with self- and cross-population pressure is considered. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions to the model are dicussed. In addition, global asymptotic stability of the pos...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2009/654539 |
| _version_ | 1811244255805440000 |
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| author | Shengmao Fu Ling Guo Rui Zhang |
| author_facet | Shengmao Fu Ling Guo Rui Zhang |
| author_sort | Shengmao Fu |
| collection | DOAJ |
| description | A Holling type III predator-prey model with self- and cross-population pressure is considered. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions to the model are dicussed. In addition, global asymptotic stability of the positive equilibrium point for the model is proved by Lyapunov function. |
| first_indexed | 2024-04-12T14:22:46Z |
| format | Article |
| id | doaj.art-24ddd0fc67694a77914a4c945271d36f |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-04-12T14:22:46Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-24ddd0fc67694a77914a4c945271d36f2022-12-22T03:29:31ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/654539Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in ℝ1Shengmao FuLing GuoRui ZhangA Holling type III predator-prey model with self- and cross-population pressure is considered. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions to the model are dicussed. In addition, global asymptotic stability of the positive equilibrium point for the model is proved by Lyapunov function.http://dx.doi.org/10.1155/2009/654539 |
| spellingShingle | Shengmao Fu Ling Guo Rui Zhang Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in ℝ1 Boundary Value Problems |
| title | Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in ℝ1 |
| title_full | Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in ℝ1 |
| title_fullStr | Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in ℝ1 |
| title_full_unstemmed | Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in ℝ1 |
| title_short | Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in ℝ1 |
| title_sort | global behavior for a diffusive predator prey model with stage structure and nonlinear density restriction ii the case in x211d 1 |
| url | http://dx.doi.org/10.1155/2009/654539 |
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