Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response
In this chapter, a three-species model of Leslie–Gower predator–prey food chain model with Sokol–Howell functional response is proposed. The boundedness of the solution of the model is discussed. Local and global stability analyses of the system are carried out. The dynamics of the predator–prey foo...
| Main Authors: | , , , , |
|---|---|
| Other Authors: | |
| Format: | Book Section |
| Language: | English |
| Published: |
Springer
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/52689/ http://psasir.upm.edu.my/id/eprint/52689/1/Boundedness%20and%20stability%20of%20Leslie%E2%80%93Gower%20model%20with%20Sokol%E2%80%93Howell%20functional%20response.pdf |
| _version_ | 1848852152096653312 |
|---|---|
| author | Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah |
| author2 | Kilicman, Adem |
| author_facet | Kilicman, Adem Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah |
| author_sort | Ali, Safaa Jawad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this chapter, a three-species model of Leslie–Gower predator–prey food chain model with Sokol–Howell functional response is proposed. The boundedness of the solution of the model is discussed. Local and global stability analyses of the system are carried out. The dynamics of the predator–prey food chain model with Sokol–Howell functional response is investigated theoretically as well as numerically. |
| first_indexed | 2025-11-15T10:33:32Z |
| format | Book Section |
| id | upm-52689 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:33:32Z |
| publishDate | 2016 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-526892021-09-05T00:00:37Z http://psasir.upm.edu.my/id/eprint/52689/ Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah In this chapter, a three-species model of Leslie–Gower predator–prey food chain model with Sokol–Howell functional response is proposed. The boundedness of the solution of the model is discussed. Local and global stability analyses of the system are carried out. The dynamics of the predator–prey food chain model with Sokol–Howell functional response is investigated theoretically as well as numerically. Springer Kilicman, Adem Srivastava, Hari M. Mursaleen, M. Abdul Majid, Zanariah 2016 Book Section PeerReviewed text en http://psasir.upm.edu.my/id/eprint/52689/1/Boundedness%20and%20stability%20of%20Leslie%E2%80%93Gower%20model%20with%20Sokol%E2%80%93Howell%20functional%20response.pdf Ali, Safaa Jawad and Md. Arifin, Norihan and Naji, Raid Kamel and Ismail, Fudziah and Bachok, Norfifah (2016) Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response. In: Recent Advances in Mathematical Sciences. Springer, Singapore, pp. 13-26. ISBN 9789811005176; EISBN: 9789811005190 https://link.springer.com/chapter/10.1007/978-981-10-0519-0_2 10.1007/978-981-10-0519-0_2 |
| spellingShingle | Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response |
| title | Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response |
| title_full | Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response |
| title_fullStr | Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response |
| title_full_unstemmed | Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response |
| title_short | Boundedness and stability of Leslie–Gower model with Sokol–Howell functional response |
| title_sort | boundedness and stability of leslie–gower model with sokol–howell functional response |
| url | http://psasir.upm.edu.my/id/eprint/52689/ http://psasir.upm.edu.my/id/eprint/52689/ http://psasir.upm.edu.my/id/eprint/52689/ http://psasir.upm.edu.my/id/eprint/52689/1/Boundedness%20and%20stability%20of%20Leslie%E2%80%93Gower%20model%20with%20Sokol%E2%80%93Howell%20functional%20response.pdf |