Complex dynamics in a singular Leslie–Gower predator–prey bioeconomic model with time delay and stochastic fluctuations

Zhang, Yue and Zhang, Qingling and Yan, Xinggang (2014) Complex dynamics in a singular Leslie–Gower predator–prey bioeconomic model with time delay and stochastic fluctuations. Physica A: Statistical Mechanics and its Applications, 404 . pp. 180-191. ISSN 0378-4371. (doi:https://doi.org/10.1016/j.physa.2014.02.013) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1016/j.physa.2014.02.013

Abstract

In this paper, a class of singular Leslie–Gower predator–prey bioeconomic models with environment fluctuations and time delays is investigated. Local stability analysis of the model reveals that there is a phenomenon of singularity induced bifurcation due to variation of economic interest of harvesting. By choosing the delay as a bifurcation parameter, it is shown that the Hopf bifurcations can occur as the delay crosses some critical values. Then, the effect of a fluctuating environment on the singular stochastic delayed predator–prey bioeconomic model is discussed. Finally numerical simulations demonstrate that the amplitude of oscillation for population is enhanced when compared with the oscillation observed in the deterministic environment.

Item Type: Article
Uncontrolled keywords: Singular predator–prey bioeconomic model; Differential–algebraic system; Time delay; Stochastic fluctuating environment
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts
Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Tina Thompson
Date Deposited: 13 Jun 2014 09:15 UTC
Last Modified: 09 Nov 2016 11:14 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/41422 (The current URI for this page, for reference purposes)
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