On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system
In this paper, we consider a Leslie–Gower type diffusive predator–prey system. By using topological degree theory, bifurcation theory, energy estimates and asymptotic behavior analysis, we prove the existence, multiplicity, uniqueness and stability of positive steady states solutions under certain c...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2014-10-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/13662 |
| _version_ | 1818336642083061760 |
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| author | Jun Zhou |
| author_facet | Jun Zhou |
| author_sort | Jun Zhou |
| collection | DOAJ |
| description | In this paper, we consider a Leslie–Gower type diffusive predator–prey system. By using topological degree theory, bifurcation theory, energy estimates and asymptotic behavior analysis, we prove the existence, multiplicity, uniqueness and stability of positive steady states solutions under certain conditions on parameters. |
| first_indexed | 2024-12-13T14:42:34Z |
| format | Article |
| id | doaj.art-d928a0e1f0b94b45a35bfd7a218b4654 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T14:42:34Z |
| publishDate | 2014-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-d928a0e1f0b94b45a35bfd7a218b46542022-12-21T23:41:35ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-10-0119410.15388/NA.2014.4.11On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey systemJun Zhou0Southwest University, ChinaIn this paper, we consider a Leslie–Gower type diffusive predator–prey system. By using topological degree theory, bifurcation theory, energy estimates and asymptotic behavior analysis, we prove the existence, multiplicity, uniqueness and stability of positive steady states solutions under certain conditions on parameters.http://www.journals.vu.lt/nonlinear-analysis/article/view/13662Leslie–Gower type diffusive predator–prey systempositive steady state solutionsuniquenessmultiplicitystability |
| spellingShingle | Jun Zhou On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system Nonlinear Analysis Leslie–Gower type diffusive predator–prey system positive steady state solutions uniqueness multiplicity stability |
| title | On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system |
| title_full | On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system |
| title_fullStr | On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system |
| title_full_unstemmed | On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system |
| title_short | On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system |
| title_sort | on existence multiplicity uniqueness and stability of positive solutions of a leslie gower type diffusive predator prey system |
| topic | Leslie–Gower type diffusive predator–prey system positive steady state solutions uniqueness multiplicity stability |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/13662 |
| work_keys_str_mv | AT junzhou onexistencemultiplicityuniquenessandstabilityofpositivesolutionsofalesliegowertypediffusivepredatorpreysystem |