Persistence and global stability in a population model
From MaRDI portal
Publication:1269688
DOI10.1006/jmaa.1998.5984zbMath0912.34040OpenAlexW2030511133MaRDI QIDQ1269688
Pingzhou Liu, Kondalsamy Gopalsamy
Publication date: 29 November 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/4a2145d73c74c1f48cbc44bebeddcefb367a390f
Population dynamics (general) (92D25) Additive difference equations (39A10) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Discretization of conformable fractional differential equations by a piecewise constant approximation ⋮ The Convergence of Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments Under Generalized One-Sided Lipschitz Condition ⋮ Persistence, contractivity and global stability in logistic equations with piecewise constant delays ⋮ Scenario of the invasive process in the modification of Bazykins population equation with delayed regulation and high reproductive potential ⋮ Stability of the logistic population model with generalized piecewise constant delays ⋮ Global stability in a population model with piecewise constant arguments ⋮ Asymptotic speeds of spread and traveling wave solutions of a second order integrodifference equation without monotonicity ⋮ Stability switches and Hopf bifurcations of an isolated population model with delay-dependent parameters ⋮ Stability analysis of neural networks with periodic coefficients and piecewise constant arguments ⋮ Stability analysis of a mathematical model in a microcosm with piecewise constant arguments ⋮ Neimark-Sacker bifurcation of a chemotherapy treatment of glioblastoma multiform (GBM) ⋮ Unnamed Item ⋮ Modeling a tumor growth with piecewise constant arguments ⋮ Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative ⋮ Unnamed Item ⋮ Stability of a Mathematical Model with Piecewise Constant Arguments for Tumor-Immune Interaction Under Drug Therapy ⋮ New contractivity condition in a population model with piecewise constant arguments ⋮ Population persistence in Cayley trees ⋮ Global behaviour of a predator–prey like model with piecewise constant arguments ⋮ Multiple bifurcations in an early brain tumor model with piecewise constant arguments ⋮ Stability and bifurcation analysis of a mathematical model for tumor-immune interaction with piecewise constant arguments of delay ⋮ Block boundary value methods applied to functional differential equations with piecewise continuous arguments ⋮ Asymptotic stability for delayed logistic type equations ⋮ An affirmative answer to Gopalsamy and Liu's conjecture in a population model ⋮ Stability analysis of a population model with piecewise constant arguments ⋮ Permanence, contractivity and global stability in logistic equations with general delays ⋮ Global stability of nonautonomous logistic equations with a piecewise constant delay ⋮ Method of Lyapunov functions for differential equations with piecewise constant delay ⋮ On Gopalsamy and Liu's conjecture for global stability in a population model ⋮ An affirmative answer to the extended Gopalsamy and Liu's conjecture on the global asymptotic stability in a population model ⋮ Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments ⋮ Global convergence in a reaction-diffusion equation with piecewise constant argument ⋮ ON PERSISTENCE AND STABILITY OF COUPLED MAP LATTICES ⋮ A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay ⋮ Dynamics of a plant–herbivore model with differential–difference equations ⋮ Modelling and analysis of a phytoplankton–zooplankton system with continuous and discrete time ⋮ Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system ⋮ Stability and bifurcations analysis of a competition model with piecewise constant arguments ⋮ On persistence and stability of some spatially inhomogeneous systems
Cites Work
- Certain systems with piecewise constant feedback controls with a time delay
- A nonlinear equation with piecewise continuous argument
- Stability results for delayed-recruitment models in population dynamics
- Global stability of population models
- The dynamics of density dependent population models
- Period doubling and Chaotic behavior of solutions to y′t) μy(t)(1 − y(δ[(t+α)/δ))]
- Occurrence of Chaos in Higher-Dimensional Discrete-Time Systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Persistence and global stability in a population model