The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response
In this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established. It is observed that there is a trans critical and pitchfor...
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University of Baghdad
2025-04-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3553 |
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| author | Asmaa Aziz Azhar Abbas Majeed |
| author_facet | Asmaa Aziz Azhar Abbas Majeed |
| author_sort | Asmaa Aziz |
| collection | DOAJ |
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In this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established. It is observed that there is a trans critical and pitchfork bifurcations near each of , where as a saddle-node bifurcation near the positive equilibrium point have been occurred. Finally, numerical simulation was used to illustrate the occurrence of the bifurcation of the proposed model.
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| format | Article |
| id | doaj-art-c56d52ce68f945779e191e6a993138e8 |
| institution | OA Journals |
| issn | 1609-4042 2521-3407 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj-art-c56d52ce68f945779e191e6a993138e82025-08-20T02:12:19ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072025-04-0138210.30526/38.2.3553The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional ResponseAsmaa Aziz0https://orcid.org/0009-0007-7885-1840Azhar Abbas Majeed1https://orcid.org/0009-0007-7885-1840Department of Mathematics, College of Science, University of Baghdad, Baghdad, IraqDepartment of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq In this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established. It is observed that there is a trans critical and pitchfork bifurcations near each of , where as a saddle-node bifurcation near the positive equilibrium point have been occurred. Finally, numerical simulation was used to illustrate the occurrence of the bifurcation of the proposed model. https://jih.uobaghdad.edu.iq/index.php/j/article/view/3553Prey-predatorSotomayor's theoremLocal bifurcationGlobal bifurcation |
| spellingShingle | Asmaa Aziz Azhar Abbas Majeed The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response Ibn Al-Haitham Journal for Pure and Applied Sciences Prey-predator Sotomayor's theorem Local bifurcation Global bifurcation |
| title | The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response |
| title_full | The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response |
| title_fullStr | The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response |
| title_full_unstemmed | The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response |
| title_short | The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response |
| title_sort | local bifurcation of food chain prey predator model with crowley martin type of functional response |
| topic | Prey-predator Sotomayor's theorem Local bifurcation Global bifurcation |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3553 |
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