Stability and Hopf bifurcation of a predator-prey biological economic system with nonlinear harvesting rate

DOI10.1515/ijnsns-2013-0098zbMath1401.92162OpenAlexW2560955229MaRDI QIDQ1660177

Boshan Chen, Chao-Jin Fu, Wei-Yi Liu

Publication date: 15 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2013-0098

zbMATH Keywords

stabilityperiodic solutionHopf bifurcationimproved algorithmnonlinear harvesting rate

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76)

Related Items (7)

Analysis of a delayed predator-prey system with harvesting ⋮ Stability, bifurcation analysis, and chaos control of a discrete bioeconomic model ⋮ Bifurcation Analysis of a Generalized Impulsive Kolmogorov Model With Applications to Pest and Disease Control ⋮ BIFURCATIONS IN A DELAYED DIFFERENTIAL-ALGEBRAIC PLANKTON ECONOMIC SYSTEM ⋮ Dynamic behaviors of a discrete-time predator-prey bioeconomic system ⋮ Bifurcation of a delayed gause predator-prey model with Michaelis-Menten type harvesting ⋮ Stability and bifurcation analysis of a discrete singular bioeconomic system

Uses Software

• Matlab

Cites Work

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• Hopf bifurcation and center stability for a predator-prey biological economic model with prey harvesting
• Hopf bifurcation for a predator-prey biological economic system with Holling type II functional response
• Bifurcations of a class of singular biological economic models
• Hopf bifurcation and stability for a differential-algebraic biological economic system
• Dynamics in a ratio-dependent predator--prey model with predator harvesting
• The dynamics of a food web consisting of two preys and a harvesting predator
• Dynamical behavior in a harvested differential-algebraic prey-predator model with discrete time delay and stage structure
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Predator-prey dynamics with square root functional responses
• Modelling and analysis of a prey-predator system with stage-structure and harvesting

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