Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment
We studied a host-parasite model qualitatively. The host-parasitoid model is obtained by modifying the Nicholson-Bailey model so that the number of hosts that parasitoids can't attack is fixed. Topological classification of equilibria is achieved with the implementation of linearization. Furthe...
| الحاوية / القاعدة: | Universal Journal of Mathematics and Applications |
|---|---|
| المؤلفون الرئيسيون: | , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
Emrah Evren KARA
2023-03-01
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://dergipark.org.tr/tr/download/article-file/2619762 |
| _version_ | 1851943297562443776 |
|---|---|
| author | Shehraz Akhtar Rizwan Ahmed |
| author_facet | Shehraz Akhtar Rizwan Ahmed |
| author_sort | Shehraz Akhtar |
| collection | DOAJ |
| container_title | Universal Journal of Mathematics and Applications |
| description | We studied a host-parasite model qualitatively. The host-parasitoid model is obtained by modifying the Nicholson-Bailey model so that the number of hosts that parasitoids can't attack is fixed. Topological classification of equilibria is achieved with the implementation of linearization. Furthermore, Neimark-Sacker bifurcation is explored using the bifurcation theory of normal forms at interior steady-state. The bifurcation in the model is controlled by implementing two control strategies. The theoretical studies are backed up by numerical simulations, which show the conclusions and their importance. |
| format | Article |
| id | doaj-art-e051b13addd74967b3429b16cbd2fec8 |
| institution | Directory of Open Access Journals |
| issn | 2619-9653 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| spelling | doaj-art-e051b13addd74967b3429b16cbd2fec82025-08-19T21:49:32ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532023-03-0161304210.32323/ujma.11679071225Qualitative Analysis of a Nicholson-Bailey Model in Patchy EnvironmentShehraz Akhtar0Rizwan Ahmed1The Islamia University of BahawalpurAir University IslamabadWe studied a host-parasite model qualitatively. The host-parasitoid model is obtained by modifying the Nicholson-Bailey model so that the number of hosts that parasitoids can't attack is fixed. Topological classification of equilibria is achieved with the implementation of linearization. Furthermore, Neimark-Sacker bifurcation is explored using the bifurcation theory of normal forms at interior steady-state. The bifurcation in the model is controlled by implementing two control strategies. The theoretical studies are backed up by numerical simulations, which show the conclusions and their importance.https://dergipark.org.tr/tr/download/article-file/2619762bifurcationchaos controlnicholson-bailey modelstability |
| spellingShingle | Shehraz Akhtar Rizwan Ahmed Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment bifurcation chaos control nicholson-bailey model stability |
| title | Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment |
| title_full | Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment |
| title_fullStr | Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment |
| title_full_unstemmed | Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment |
| title_short | Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment |
| title_sort | qualitative analysis of a nicholson bailey model in patchy environment |
| topic | bifurcation chaos control nicholson-bailey model stability |
| url | https://dergipark.org.tr/tr/download/article-file/2619762 |
| work_keys_str_mv | AT shehrazakhtar qualitativeanalysisofanicholsonbaileymodelinpatchyenvironment AT rizwanahmed qualitativeanalysisofanicholsonbaileymodelinpatchyenvironment |