A Filippov system describing the effect of prey refuge use on a ratio-dependent predator-prey model

DOI10.1016/j.jmaa.2015.03.045zbMath1321.34060OpenAlexW1978549760WikidataQ115570341 ScholiaQ115570341MaRDI QIDQ2348499

Li-Hong Huang, Xiao-yan Chen

Publication date: 12 June 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.03.045

zbMATH Keywords

refugeratio-dependentFilippov systemfinite time stable

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (14)

The Filippov approach for predator-prey system involving mixed type of functional responses ⋮ A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system ⋮ Dynamical analysis in a piecewise smooth predator–prey model with predator harvesting ⋮ Hopf bifurcation analysis in a predator-prey model with two time delays and stage structure for the prey ⋮ Global asymptotical stability and sliding bifurcation analysis of a general Filippov-type predator-prey model with a refuge ⋮ Dynamical behavior in a hybrid stochastic triple delayed prey predator bioeconomic system with Lévy jumps ⋮ Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type ⋮ Global dynamics of non-smooth Filippov pest-natural enemy system with constant releasing rate ⋮ Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type ⋮ Non-smooth ecological systems with a switching threshold depending on the pest density and its rate of change ⋮ Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems ⋮ GLOBAL DYNAMICS OF A FILIPPOV PLANT DISEASE MODEL WITH AN ECONOMIC THRESHOLD OF INFECTED-SUSCEPTIBLE RATIO ⋮ Global dynamics of a Filippov predator-prey model with two thresholds for integrated pest management ⋮ Bifurcations in Holling-Tanner model with generalist predator and prey refuge

Cites Work

• Unnamed Item
• Unnamed Item
• Global qualitative analysis of a non-smooth Gause predator-prey model with a refuge
• A theory for flow switchability in discontinuous dynamical systems
• Global qualitative analysis of a ratio-dependent predator-prey system
• Global dynamics of a ratio-dependent predator-prey system
• Parametric analysis of the ratio-dependent predator-prey model
• Piecewise-smooth dynamical systems. Theory and applications
• Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations
• The Geometry of Generic Sliding Bifurcations
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Global convergence of neural networks with discontinuous neuron activations
• On the Gause predator-prey model with a refuge: a fresh look at the history

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