One-parameter bifurcation analysis of prey-predator model with harvesting strategies
This study investigates the effect of changes in the parameter of harvesting effort in both prey and predator species. As we know, prey and predator correlate to each other. Thus, it is important to know the dynamics of their population when the interaction is affected by the harvesting activity. To...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2021
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| Online Access: | http://journalarticle.ukm.my/17837/ http://journalarticle.ukm.my/17837/1/jqma-17-1-paper11.pdf |
| _version_ | 1848814413480460288 |
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| author | Zati Iwani Abdul Manaf, Mohamad Iqram Ab Nasir, Nurul Shahira Mohammad, Mohd Pawiro Santono Othman, |
| author_facet | Zati Iwani Abdul Manaf, Mohamad Iqram Ab Nasir, Nurul Shahira Mohammad, Mohd Pawiro Santono Othman, |
| author_sort | Zati Iwani Abdul Manaf, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | This study investigates the effect of changes in the parameter of harvesting effort in both prey and predator species. As we know, prey and predator correlate to each other. Thus, it is important to know the dynamics of their population when the interaction is affected by the harvesting activity. To do this, we consider an ecological model of prey-predator interactions with the presence of harvesting effort. Then, we employ stability analysis, bifurcation analysis and numerical simulations to illustrate the dynamical behaviours of the prey-predator system. This study also analyses the behaviour of prey-predator interactions as the harvesting parameters of prey and predator species are varied. With the help of mathematical software such as XPPAUT and Matlab, a few graphs of bifurcation, phase plane, and time series are plotted. Maple software is used to find the Jacobian matrix and also the critical points. By using bifurcation analysis, there is an occurrence of one transcritical bifurcation point. Our finding demonstrates that as the harvesting parameter exceeds the transcritical bifurcation point, the prey-predator system changes from stable to unstable or vice versa. |
| first_indexed | 2025-11-15T00:33:41Z |
| format | Article |
| id | oai:generic.eprints.org:17837 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:33:41Z |
| publishDate | 2021 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:178372022-01-07T00:37:55Z http://journalarticle.ukm.my/17837/ One-parameter bifurcation analysis of prey-predator model with harvesting strategies Zati Iwani Abdul Manaf, Mohamad Iqram Ab Nasir, Nurul Shahira Mohammad, Mohd Pawiro Santono Othman, This study investigates the effect of changes in the parameter of harvesting effort in both prey and predator species. As we know, prey and predator correlate to each other. Thus, it is important to know the dynamics of their population when the interaction is affected by the harvesting activity. To do this, we consider an ecological model of prey-predator interactions with the presence of harvesting effort. Then, we employ stability analysis, bifurcation analysis and numerical simulations to illustrate the dynamical behaviours of the prey-predator system. This study also analyses the behaviour of prey-predator interactions as the harvesting parameters of prey and predator species are varied. With the help of mathematical software such as XPPAUT and Matlab, a few graphs of bifurcation, phase plane, and time series are plotted. Maple software is used to find the Jacobian matrix and also the critical points. By using bifurcation analysis, there is an occurrence of one transcritical bifurcation point. Our finding demonstrates that as the harvesting parameter exceeds the transcritical bifurcation point, the prey-predator system changes from stable to unstable or vice versa. Penerbit Universiti Kebangsaan Malaysia 2021 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/17837/1/jqma-17-1-paper11.pdf Zati Iwani Abdul Manaf, and Mohamad Iqram Ab Nasir, and Nurul Shahira Mohammad, and Mohd Pawiro Santono Othman, (2021) One-parameter bifurcation analysis of prey-predator model with harvesting strategies. Journal of Quality Measurement and Analysis, 17 (1). pp. 141-151. ISSN 1823-5670 https://www.ukm.my/jqma/jqma17-1/ |
| spellingShingle | Zati Iwani Abdul Manaf, Mohamad Iqram Ab Nasir, Nurul Shahira Mohammad, Mohd Pawiro Santono Othman, One-parameter bifurcation analysis of prey-predator model with harvesting strategies |
| title | One-parameter bifurcation analysis of prey-predator model with harvesting strategies |
| title_full | One-parameter bifurcation analysis of prey-predator model with harvesting strategies |
| title_fullStr | One-parameter bifurcation analysis of prey-predator model with harvesting strategies |
| title_full_unstemmed | One-parameter bifurcation analysis of prey-predator model with harvesting strategies |
| title_short | One-parameter bifurcation analysis of prey-predator model with harvesting strategies |
| title_sort | one-parameter bifurcation analysis of prey-predator model with harvesting strategies |
| url | http://journalarticle.ukm.my/17837/ http://journalarticle.ukm.my/17837/ http://journalarticle.ukm.my/17837/1/jqma-17-1-paper11.pdf |