Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances

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

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Harvesting; fishery; toxicant; predator; prey.
Subjects:	T Technology > TD Environmental technology. Sanitary engineering T Technology > TD Environmental technology. Sanitary engineering > TD172-193.5 Environmental pollution
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	UiTM Student Praktikal
Date Deposited:	18 Nov 2021 07:26
Last Modified:	18 Nov 2021 07:26
URI:	http://eprints.uthm.edu.my/id/eprint/3571

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