Dynamics and Bifurcation Analysis of a Filippov Predator–Prey Ecosystem in a Seasonally Fluctuating Environment

DOI10.1142/S0218127419500202zbMath1414.34036OpenAlexW2921579187WikidataQ115523690 ScholiaQ115523690MaRDI QIDQ4630079

Xinzhi Liu, Xuewen Tan, Wenjie Qin, Jun-hua Chen, Xiaotao Shi

Publication date: 29 March 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419500202

zbMATH Keywords

periodic forcingFilippov systemlimited resourcesswitching transientssliding periodic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Control problems involving ordinary differential equations (34H05) Ordinary differential equations and systems with randomness (34F05) Ecology (92D40) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Nonautonomous smooth dynamical systems (37C60)

Related Items (16)

On periodic solution to control problem with time-driven switching ⋮ Sliding modes in the management of renewable resources ⋮ A stochastic predator-prey model for integrated pest management ⋮ Dynamics and bifurcations of a Filippov Leslie-Gower predator-prey model with group defense and time delay ⋮ Stochastic analysis of a predator-prey model with modified Leslie-Gower and Holling type II schemes ⋮ IPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect ⋮ Sliding dynamics of a Filippov forest-pest model with threshold policy control ⋮ Threshold control strategy for a non-smooth Filippov ecosystem with group defense ⋮ Switching dynamics analysis of forest-pest model describing effects of external periodic disturbance ⋮ Global dynamics of non-smooth Filippov pest-natural enemy system with constant releasing rate ⋮ Analysis of a hybrid pest management model incorporating pest resistance and different control strategies ⋮ Complexity dynamics and simulations in a discrete switching ecosystem induced by an intermittent threshold control strategy ⋮ Complex Dynamics of a Filippov Three-Species Food Chain Model ⋮ Sliding Dynamics and Bifurcations in the Extended Nonsmooth Filippov Ecosystem ⋮ Global dynamics of a Filippov predator-prey model with two thresholds for integrated pest management ⋮ Pest control switching models with instantaneous and non-instantaneous impulsive effects

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