Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems
Analysis of predator-prey dynamical systems that have the functional response which generalizes the other types of functional responses in two dimensions is mainly studied in this paper. The main problems for this study are to detect the if and only if conditions for attaining the periodic solution...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/7308609 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555499488280576 |
|---|---|
| author | Neslihan Nesliye Pelen |
| author_facet | Neslihan Nesliye Pelen |
| author_sort | Neslihan Nesliye Pelen |
| collection | DOAJ |
| description | Analysis of predator-prey dynamical systems that have the functional response which generalizes the other types of functional responses in two dimensions is mainly studied in this paper. The main problems for this study are to detect the if and only if conditions for attaining the periodic solution of the considered system and to find the condition for global asymptotic stability of this solution for some different types of predator-prey systems that are obtained from that system. To get the desired results, some aspects of semigroup theory for stability analysis and coincidence degree theory are used. |
| format | Article |
| id | doaj-art-e387cbd163664298a80ff00cf07dc2ab |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e387cbd163664298a80ff00cf07dc2ab2025-02-03T05:48:13ZengWileyJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/73086097308609Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical SystemsNeslihan Nesliye Pelen0Department of Mathematics, Ondokuz Mayis University, Samsun, TurkeyAnalysis of predator-prey dynamical systems that have the functional response which generalizes the other types of functional responses in two dimensions is mainly studied in this paper. The main problems for this study are to detect the if and only if conditions for attaining the periodic solution of the considered system and to find the condition for global asymptotic stability of this solution for some different types of predator-prey systems that are obtained from that system. To get the desired results, some aspects of semigroup theory for stability analysis and coincidence degree theory are used.http://dx.doi.org/10.1155/2016/7308609 |
| spellingShingle | Neslihan Nesliye Pelen Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems Journal of Mathematics |
| title | Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems |
| title_full | Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems |
| title_fullStr | Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems |
| title_full_unstemmed | Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems |
| title_short | Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems |
| title_sort | stability analysis of the periodic solutions of some kinds of predator prey dynamical systems |
| url | http://dx.doi.org/10.1155/2016/7308609 |
| work_keys_str_mv | AT neslihannesliyepelen stabilityanalysisoftheperiodicsolutionsofsomekindsofpredatorpreydynamicalsystems |