Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism

DOI10.1007/s11071-017-3829-yzbMath1393.92044OpenAlexW2763985766MaRDI QIDQ1663722

Dandan Fang, Yunfei Lv, Yongzhen Pei, Lan-Sun Chen

Publication date: 22 August 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3829-y

zbMATH Keywords

bifurcationperiodic solutionperturbed systemrotated vector fieldsstate feedback controlhomoclinic cycle\(B\)-convergent

Mathematics Subject Classification ID

Feedback control (93B52) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Dynamical properties of a herbivore-plankton impulsive semidynamic system with eating behavior ⋮ Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy ⋮ Nonlinear control ecological model with complex discrete map ⋮ Dynamic analysis of a predator-prey state-dependent impulsive model with fear effect in which action threshold depending on the prey density and its changing rate ⋮ Global dynamic behavior of a predator-prey model under ratio-dependent state impulsive control ⋮ Global dynamic behavior of a plant disease model with ratio dependent impulsive control strategy ⋮ OPTIMAL PEST REGULATION TACTICS FOR A STOCHASTIC PROCESS MODEL WITH IMPULSIVE CONTROLS USING REGRESSION ANALYSIS— TAKING COTTON APHIDS AS AN EXAMPLE ⋮ Dynamics analysis of a predator-prey model with nonmonotonic functional response and impulsive control ⋮ Global dynamics analysis of a water hyacinth fish ecological system under impulsive control

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