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

Ang, Tau Keong 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 01278274

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Official URL: https://doi.org/10.11113/matematika.v34.n1.1018

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 predator 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:Q Science > QA Mathematics > QA273 Probabilities. Mathematical statistics
Divisions:Faculty of Applied Science and Technology > Department of Mathematics and Statistic
ID Code:11189
Deposited By:Mr. Mohammad Shaifulrip Ithnin
Deposited On:13 May 2019 09:12
Last Modified:13 May 2019 09:12

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