Periodicity and stability in a single-species model governed by impulsive differential equation

DOI10.1016/j.apm.2011.07.056zbMath1243.34018OpenAlexW2067468527WikidataQ58981929 ScholiaQ58981929MaRDI QIDQ437853

Ronghua Tan, Robert A. Cheke, Zhijun Liu

Publication date: 20 July 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.07.056

zbMATH Keywords

Lyapunov functionBrouwer's fixed point theorempositive periodic solutionimpulsive single-species model

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)

Related Items (10)

Finite-time stability of dynamical system under event-triggered hybrid control ⋮ Positive periodic solutions of cooperative systems with delays and feedback controls ⋮ Permanence and almost periodic solutions for \(N\)-species nonautonomous Lotka-Volterra competitive systems with delays and impulsive perturbations on time scales ⋮ Modelling and analysis of a stochastic nonautonomous predator-prey model with impulsive effects and nonlinear functional response ⋮ Stochastic permanence of two impulsive stochastic delay single species systems incorporating predation term ⋮ PERMANENCE AND UNIFORMLY ASYMPTOTICAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR A SINGLE-SPECIES MODEL WITH FEEDBACK CONTROL ON TIME SCALES ⋮ Two impulsive stochastic delay single-species models incorporating Lévy noise ⋮ Extinction in a Lotka-Volterra competitive system with impulse and the effect of toxic substances ⋮ Modeling and analysis of a non-autonomous single-species model with impulsive and random perturbations ⋮ Analysis of a periodic single species population model involving constant impulsive perturbation

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