One-parameter bifurcation analysis of prey-predator model with harvesting strategies

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


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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.

Item Type:Article
Keywords:Harvesting activity; Prey-predator model; Stability analysis; Transcritical bifurcation
Journal:Journal of Quality Measurement and Analysis
ID Code:17837
Deposited By: ms aida -
Deposited On:06 Jan 2022 01:04
Last Modified:07 Jan 2022 00:37

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