Bifurcation analysis of an ecological model with nonlinear state-dependent feedback control by Poincaré map defined in phase set

DOI10.1016/j.cnsns.2021.106212zbMath1496.34088OpenAlexW4200178145MaRDI QIDQ2076240

Sanyi Tang, Qianqian Zhang

Publication date: 16 February 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106212

zbMATH Keywords

transcritical bifurcationPoincaré mapstate-dependent feedback controlaction thresholdnon-linear impulsive set

Mathematics Subject Classification ID

Feedback control (93B52) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Pest management (92D45)

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