A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay
From MaRDI portal
Publication:1003272
DOI10.1016/j.nonrwa.2007.09.006zbMath1154.34383OpenAlexW2050773296MaRDI QIDQ1003272
Rong Yuan, Huaixing Li, Yoshiaki Muroya
Publication date: 27 February 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.09.006
Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Global stability of solutions to ordinary differential equations (34D23)
Related Items (max. 100)
Oscillation of numerical solution in the Runge-Kutta methods for equation \(x'(t) = ax(t) + a_{0}x([t)\)] ⋮ New contractivity condition in a population model with piecewise constant arguments ⋮ Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type ⋮ Global stability of nonautonomous logistic equations with a piecewise constant delay ⋮ Method of Lyapunov functions for differential equations with piecewise constant delay ⋮ An affirmative answer to the extended Gopalsamy and Liu's conjecture on the global asymptotic stability in a population model ⋮ Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1)=0\)] ⋮ Preservation of Oscillations in the Runge-Kutta Method for a Type of Advanced Differential Equation ⋮ Oscillation analysis of numerical solutions in theθ-methods for differential equation of advanced type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Gopalsamy and Liu's conjecture for global stability in a population model
- Certain systems with piecewise constant feedback controls with a time delay
- Stability results for delayed-recruitment models in population dynamics
- The dynamics of density dependent population models
- Persistence and global stability in a population model
- Uniform stability of nonlinear difference systems
- Global stability and chaos in a population model with piecewise constant arguments
- Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence
- Persistence, contractivity and global stability in logistic equations with piecewise constant delays
- Asymptotic behavior of solutions of first order nonlinear delay difference equations
- On the logistic delay differential equations with piecewise constant argument and quasi-periodic time dependence
- Global stability in a logistic equation with piecewise constant arguments
- An affirmative answer to Gopalsamy and Liu's conjecture in a population model
- Period doubling and Chaotic behavior of solutions to y′t) μy(t)(1 − y(δ[(t+α)/δ))]
- On the stability for a population growth equation with time delay
- Occurrence of Chaos in Higher-Dimensional Discrete-Time Systems
- Global attractivity for a logistic equation with piecewise constant argument
This page was built for publication: A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay
