Discrete-time Holling type II models with Allee and refuge effects
The discrete-time Holling type II prey-predator models with the refuge and Allee effects are formulated and studied. The existence of fixed points and their stabilities are investigated for both hyperbolic and non-hyperbolic cases. Numerical simulations are conducted to demonstrate the theoretical r...
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| Format: | Article |
| Language: | English |
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EJAAM
2019-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0008.pdf |
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| _version_ | 1823864940165857280 |
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| author | Unal Ufuktepe Burcin Kulahcioglu |
| author_facet | Unal Ufuktepe Burcin Kulahcioglu |
| author_sort | Unal Ufuktepe |
| collection | DOAJ |
| description | The discrete-time Holling type II prey-predator models with the refuge and Allee effects are formulated and studied. The existence of fixed points and their stabilities are investigated for both hyperbolic and non-hyperbolic cases. Numerical simulations are conducted to demonstrate the theoretical results. |
| format | Article |
| id | doaj-art-dc9d05e6391e4f8da2b2808b7beda94d |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-dc9d05e6391e4f8da2b2808b7beda94d2025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902019-12-01201910.2478/ejaam-2019-0008Discrete-time Holling type II models with Allee and refuge effectsUnal Ufuktepe0Burcin Kulahcioglu1American University of the Middle East, Egaila, KuwaitIzmir University of Economics, Izmir, TurkeyThe discrete-time Holling type II prey-predator models with the refuge and Allee effects are formulated and studied. The existence of fixed points and their stabilities are investigated for both hyperbolic and non-hyperbolic cases. Numerical simulations are conducted to demonstrate the theoretical results.https://ejaam.org/articles/2019/10.2478-ejaam-2019-0008.pdfholling type iiprey-predatorrefuge effect |
| spellingShingle | Unal Ufuktepe Burcin Kulahcioglu Discrete-time Holling type II models with Allee and refuge effects E-Journal of Analysis and Applied Mathematics holling type ii prey-predator refuge effect |
| title | Discrete-time Holling type II models with Allee and refuge effects |
| title_full | Discrete-time Holling type II models with Allee and refuge effects |
| title_fullStr | Discrete-time Holling type II models with Allee and refuge effects |
| title_full_unstemmed | Discrete-time Holling type II models with Allee and refuge effects |
| title_short | Discrete-time Holling type II models with Allee and refuge effects |
| title_sort | discrete time holling type ii models with allee and refuge effects |
| topic | holling type ii prey-predator refuge effect |
| url | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0008.pdf |
| work_keys_str_mv | AT unalufuktepe discretetimehollingtypeiimodelswithalleeandrefugeeffects AT burcinkulahcioglu discretetimehollingtypeiimodelswithalleeandrefugeeffects |