Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances
In this paper we consider a harvesting model of predator-prey fishery in which the prey is directly infected by some external toxic substances. The toxic infection is indirectly transmitted to the predator during the feeding process. The model is a modified version from the classic Lotka-Volterra pr...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2018
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| Online Access: | http://eprints.uthm.edu.my/3571/ http://eprints.uthm.edu.my/3571/1/AJ%202018%20%28360%29.pdf |
| _version_ | 1848888055894638592 |
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| author | Keong, Ang Tau M Safuan, Hamizah Jacob, Kavikumar |
| author_facet | Keong, Ang Tau M Safuan, Hamizah Jacob, Kavikumar |
| author_sort | Keong, Ang Tau |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | In this paper we consider a harvesting model of predator-prey fishery in which the prey is directly infected by some external toxic substances. The toxic infection is indirectly transmitted to the predator during the feeding process. The model is a modified version from the classic Lotka-Volterra predator-prey model. The stability and bifurcation analyses are addressed. Numerical simulations of the model are performed and bifurcation diagrams are studied to investigate the dynamical behaviours between the and the prey. The effects of toxicity and harvesting on the stability of steady states found in the model are discussed. |
| first_indexed | 2025-11-15T20:04:12Z |
| format | Article |
| id | uthm-3571 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:04:12Z |
| publishDate | 2018 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-35712021-11-18T07:26:41Z http://eprints.uthm.edu.my/3571/ Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances Keong, Ang Tau M Safuan, Hamizah Jacob, Kavikumar TD Environmental technology. Sanitary engineering TD172-193.5 Environmental pollution In this paper we consider a harvesting model of predator-prey fishery in which the prey is directly infected by some external toxic substances. The toxic infection is indirectly transmitted to the predator during the feeding process. The model is a modified version from the classic Lotka-Volterra predator-prey model. The stability and bifurcation analyses are addressed. Numerical simulations of the model are performed and bifurcation diagrams are studied to investigate the dynamical behaviours between the and the prey. The effects of toxicity and harvesting on the stability of steady states found in the model are discussed. Penerbit UTM Press 2018 Article PeerReviewed text en http://eprints.uthm.edu.my/3571/1/AJ%202018%20%28360%29.pdf Keong, Ang Tau and M Safuan, Hamizah and Jacob, Kavikumar (2018) Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances. MATEMATIKA, 34 (1). pp. 143-151. ISSN 0127-8274 https://doi.org/10.11113/matematika.v34.n1.1018 |
| spellingShingle | TD Environmental technology. Sanitary engineering TD172-193.5 Environmental pollution Keong, Ang Tau M Safuan, Hamizah Jacob, Kavikumar Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances |
| title | Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances |
| title_full | Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances |
| title_fullStr | Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances |
| title_full_unstemmed | Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances |
| title_short | Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances |
| title_sort | dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances |
| topic | TD Environmental technology. Sanitary engineering TD172-193.5 Environmental pollution |
| url | http://eprints.uthm.edu.my/3571/ http://eprints.uthm.edu.my/3571/ http://eprints.uthm.edu.my/3571/1/AJ%202018%20%28360%29.pdf |