# Dynamics of a competitive Lotka-Volterra system with three delays

@article{Liao2011DynamicsOA, title={Dynamics of a competitive Lotka-Volterra system with three delays}, author={Maoxin Liao and Xianhua Tang and Changjin Xu}, journal={Appl. Math. Comput.}, year={2011}, volume={217}, pages={10024-10034} }

## 14 Citations

Bifurcation Analysis in an n-Dimensional Diffusive Competitive Lotka-Volterra System with Time Delay

- MathematicsInt. J. Bifurc. Chaos
- 2015

The stability and Hopf bifurcation of an n-dimensional competitive Lotka–Volterra diffusion system with time delay and homogeneous Dirichlet boundary condition is investigated and there exists a positive nonconstant steady state solution satisfying the given asymptotic expressions.

Stability and Hopf bifurcation for a competition and cooperation model of two enterprises with delay

- MathematicsCommun. Nonlinear Sci. Numer. Simul.
- 2014

Chaos in a nonautonomous eco-epidemiological model with delay

- MathematicsApplied Mathematical Modelling
- 2020

Dynamics of non-autonomous stochastic Gilpin-Ayala competition model with time-varying delays

- MathematicsAppl. Math. Comput.
- 2013

Spatiotemporal Dynamics and Hopf Bifurcation in a Delayed Diffusive Intraguild Predation Model with Holling II Functional Response

- MathematicsInt. J. Bifurc. Chaos
- 2016

It is revealed that the time delay has a destabilizing effect in the intraguild predation model dynamics and a phenomenon of Hopf bifurcation occurs when the delay increases through a certain threshold, which is induced by Hopf instability.

Dynamical Behavior of a Stage Structured Prey–Predator Model with Two Delays and Monod–Haldane Functional Response

- Mathematics
- 2018

In this paper, a new stage structured prey–predator model with Monod–Haldane functional response is proposed and the stages for predator have been considered. The proposed mathematical model consists…

A delayed eco-epidemiological system with infected prey and predator subject to the weak Allee effect.

- MathematicsMathematical biosciences
- 2015

Dynamical behaviors for a competition and cooperation model of enterprises with two delays

- Mathematics
- 2014

Dynamical behaviors for a competition and cooperation model of two enterprises with two delays are investigated and it is shown that the complex Hopf bifurcation phenomenon at the positive equilibrium of the system can occur as the diverse delay crosses some critical values.

New insights in stability analysis of delayed Lotka-Volterra systems

- MathematicsJ. Frankl. Inst.
- 2018

A delayed prey–predator system with prey subject to the strong Allee effect and disease

- Mathematics
- 2016

In this article, an eco-epidemiological model with strong Allee effect in prey population growth is presented by a system of delay differential equations. The time lag in terms of the delay parameter…

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