Periodic Solution Bifurcation and Spiking Dynamics of Impacting Predator–Prey Dynamical Model

DOI10.1142/S021812741850147XzbMath1404.34064OpenAlexW2901220312WikidataQ115523706 ScholiaQ115523706MaRDI QIDQ4560145

Sanyi Tang, Xuewen Tan, Juhua Liang, Jin Yang

Publication date: 5 December 2018

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

Full work available at URL: https://doi.org/10.1142/s021812741850147x

zbMATH Keywords

Poincaré mapdiscontinuityspiking dynamicsorder-\(k\) periodic solutionimpacting systemperiodic solution bifurcation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Relaxation oscillations for ordinary differential equations (34C26)

Related Items

The state-dependent impulsive control for a general predator–prey model, The impulsive model with pest density and its change rate dependent feedback control, Modelling the effects of pest control with development of pesticide resistance, Optimization of an integrated feedback control for a pest management predator-prey model, An SI integrated pest management model with pesticide resistance to susceptible pests, Models to assess the effects of nonsmooth control and stochastic perturbation on pest control: a pest-natural-enemy ecosystem

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