Hopf bifurcation analysis of a predator-prey biological economic system with nonselective harvesting
type: Item
instance of: scholarly article
title: Hopf bifurcation analysis of a predator-prey biological economic system with nonselective harvesting
zbMATH Open document ID: 1418.92105
DOI: 10.1155/2015/264321
author: Biwen Li
author: Zhenwei Li
author: Boshan Chen
author: Gan Wang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: A modified predator-prey biological economic system with nonselective harvesting is investigated. An important mathematical feature of the system is that the economic profit on the predator-prey system is investigated from an economic perspective. By using the local parameterization method and Hopf bifurcation theorem, we analyze the Hopf bifurcation of the proposed system. In addition, the modified model enriches the database for the predator-prey biological economic system. Finally, numerical simulations illustrate the effectiveness of our results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 7025284
Wikidata QID: Q59105737
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/264321
OpenAlex ID: W2028873258
cites work: Global dynamics and controllability of a harvested prey-predator system with Holling type III functional response
cites work: Uniqueness of limit cycles in Gause-type models of predator-prey systems
cites work: Q4509338
cites work: Modelling and analysis of a prey-predator system with stage-structure and harvesting
cites work: Q4702886
cites work: Analysis of a delayed predator-prey model with ratio-dependent functional response and quadratic harvesting
cites work: Hopf bifurcation and stability for a differential-algebraic biological economic system
cites work: Dynamics in a ratio-dependent predator--prey model with predator harvesting
cites work: The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management
cites work: Dynamical behavior in a harvested differential-algebraic prey-predator model with discrete time delay and stage structure
cites work: Bifurcation analysis and control of a class of hybrid biological economic models
cites work: Q5453287
cites work: The dynamics of a food web consisting of two preys and a harvesting predator
cites work: DYNAMIC BEHAVIOR ANALYSIS OF A DIFFERENTIAL-ALGEBRAIC PREDATOR–PREY SYSTEM WITH PREY HARVESTING
cites work: Bifurcations of a class of singular biological economic models
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Introduction to Applied Nonlinear Dynamical Systems and Chaos
cites work: Applications of centre manifold theory
cites work: Stability and bifurcation analysis of differential-difference-algebraic equations
Recommended article: Stability and Hopf bifurcation of a predator-prey biological economic system with nonlinear harvesting rate
Recommended article: Hopf bifurcation and center stability for a predator-prey biological economic model with prey harvesting
Recommended article: Q5368362
Recommended article: Q5277063
Recommended article: Hopf bifurcation for a predator-prey biological economic system with Holling type II functional response
Recommended article: Q5498411
Recommended article: Bifurcation analysis in a prey-predator model with nonlinear predator harvesting
Recommended article: Stability and Hopf bifurcation of the coexistence equilibrium for a differential-algebraic biological economic system with predator harvesting
Recommended article: Q3170949
Recommended article: Hopf bifurcation of a predator-prey system with stage structure and harvesting
description: scientific article; zbMATH DE number 7025284