Complex dynamics in a singular delayed bioeconomic model with and without stochastic fluctuation
type: Item
instance of: scholarly article
title: Complex dynamics in a singular delayed bioeconomic model with and without stochastic fluctuation
zbMATH Open document ID: 1418.92122
DOI: 10.1155/2015/302494
author: Xinyou Meng
author: Qingling Zhang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: A singular delayed biological economic predator-prey system with and without stochastic fluctuation is proposed. The conditions of singularity induced bifurcation are gained, and a state feedback controller is designed to eliminate such bifurcation. Furthermore, saddle-node bifurcation is also showed. Next, the local stability of the positive equilibrium and the existence of Hopf bifurcation are obtained by analyzing the distribution of roots of the corresponding characteristic equation, and the hybrid control strategy is used to control the occurrence of Hopf bifurcation. In addition, some explicit formulas determining the spectral densities of the populations and harvest effort are given when the system is considered with stochastic fluctuation. Finally, numerical simulations are illustrated to verify the theoretical results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7025303
Wikidata QID: Q59105784
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/302494
OpenAlex ID: W1932043429
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description: scientific article; zbMATH DE number 7025303