Qualitative analysis of a Leslie-Gower predator-prey system with nonlinear harvesting in predator

DOI10.1155/2016/2741891zbMath1413.34177OpenAlexW2528291852WikidataQ59124541 ScholiaQ59124541MaRDI QIDQ1653471

Brajesh Kumar Singh, B. S. Bhadauria, Manoj Kumar Singh

Publication date: 6 August 2018

Published in: International Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/2741891

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

Periodic solution of a Leslie predator-prey system with ratio-dependent and state impulsive feedback control ⋮ Unnamed Item ⋮ Dynamical response of an eco-epidemiological system with harvesting

Cites Work

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• Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
• Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting
• Dynamical complexity of a prey-predator model with nonlinear predator harvesting
• Complex dynamics of ecological systems under nonlinear harvesting: Hopf bifurcation and Turing instability
• Local stability analysis of ratio-dependent predator-prey models with predator harvesting rates
• Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting
• Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
• Dynamics in a ratio-dependent predator--prey model with predator harvesting
• About deterministic extinction in ratio-dependent predator-prey models
• Hopf bifurcation and non-hyperbolic equilibrium in a ratio-dependent predator-prey model with linear harvesting rate: analysis and computation
• Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates
• Maximum sustainable yields in systems subject to harvesting at more than one trophic level
• Stability regions and transition phenomena for harvested predator-prey systems
• Bioeconomic harvesting of a prey–predator fishery
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Global Stability for a Class of Predator-Prey Systems
• Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting

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