Dynamic analysis of a predator-prey system with nonlinear prey harvesting and square root functional response

DOI10.1016/j.chaos.2021.111071zbMath1485.92097OpenAlexW3166198723WikidataQ115579533 ScholiaQ115579533MaRDI QIDQ2137544

Yanyan Li

Publication date: 16 May 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111071

zbMATH Keywords

stability analysispredator-prey systemgroup defensenonlinear harvestingsquare root functional response

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Demand-induced regime shift in fishery: a mathematical perspective ⋮ A Filippov type predator prey system with selective harvesting of predator ⋮ Dynamic analysis of a predator–prey model of Gause type with Allee effect and non-Lipschitzian hyperbolic-type functional response ⋮ Predator–Prey System: Bachelor Herding of the Prey Imposes Ecological Constraints on Predation

Cites Work

• Unnamed Item
• Unnamed Item
• Global dynamics of a predator-prey model with defense mechanism for prey
• Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality
• Modeling herd behavior in population systems
• Spatiotemporal complexity of a predator-prey system with constant harvest rate
• Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
• Predator-prey systems with group defence: The paradox of enrichment revisited
• Stability and Hopf bifurcation of a modified predator-prey model with a time delay and square root response function
• Stability and Hopf bifurcation of a delayed-diffusive predator-prey model with hyperbolic mortality and nonlinear prey harvesting
• Dynamic analysis of a prey-predator model with state-dependent control strategy and square root response function
• Predator-prey dynamics with square root functional responses
• An impulsive two-stage predator-prey model with stage-structure and square root functional responses
• Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response
• Dynamics of prey threshold harvesting and refuge
• Spatial dynamics in a predator-prey model with herd behavior
• BIFURCATIONS OF A HOLLING-TYPE II PREDATOR–PREY SYSTEM WITH CONSTANT RATE HARVESTING
• Stability and Bifurcation Analysis in a Predator–Prey System with Constant Harvesting and Prey Group Defense
• Stochastic analysis of a prey–predator model with herd behaviour of prey
• STABILITY AND BIFURCATION ANALYSIS OF A DISCRETE PREY–PREDATOR MODEL WITH SQUARE-ROOT FUNCTIONAL RESPONSE AND OPTIMAL HARVESTING
• Dynamics of a Discrete Prey–Predator Model with Mixed Functional Response

This page was built for publication: Dynamic analysis of a predator-prey system with nonlinear prey harvesting and square root functional response