10 Result(s)
within
Mathematics
Ordinary Differential Equations
Junjie Wei
Article
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Article
Hopf Bifurcation of a Delayed Single Population Model with Patch Structure
In this paper, we show the existence of a Hopf bifurcation in a delayed single population model with patch structure. The effect of the dispersal rate on the Hopf bifurcation is considered. Especially, if each...
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Article
Bifurcation Analysis for a Delayed Diffusive Logistic Population Model in the Advective Heterogeneous Environment
In this paper, we investigate a delayed reaction–diffusion–advection equation, which models the population dynamics in the advective heterogeneous environment. The existence of the nonconstant positive steady ...
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Article
Double Hopf Bifurcation in Delayed reaction–diffusion Systems
Double Hopf bifurcation analysis can be used to reveal some complicated dynamical behavior in a dynamical system, such as the existence or coexistence of periodic orbits, quasi-periodic orbits, or even chaos. ...
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Dynamics of a Diffusive Predator–Prey Model: The Effect of Conversion Rate
A general diffusive predator–prey model is investigated in this paper. We prove the global attractivity of constant equilibria when the conversion rate is small, and the non-existence of non-constant positive ...
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Article
Open AccessAnalysis of dynamics in an eco-epidemiological model with stage structure
This paper is devoted to the study of an eco-epidemiological model with stage structure in the predator and disease in the prey. To begin with, the positivity and boundedness of the solutions are obtained. Thi...
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Article
Open AccessStability and bifurcation analysis in a viral infection model with delays
In this paper, a class of virus infection models with CTLs response is considered. We incorporate an immune delay and two intracellular delays into the virus infection model. It is found that only incorporatin...
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Global Hopf Bifurcation Analysis of a Nicholson’s Blowflies Equation of Neutral Type
We investigate Hopf bifurcations in a delayed Nicholson’s blowflies equation of neutral type, derived from the Gurtin–MacCamy model. A key parameter that determines the direction of the Hopf bifurcation and th...
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Article
Hopf Bifurcation in a Diffusive Logistic Equation with Mixed Delayed and Instantaneous Density Dependence
A diffusive logistic equation with mixed delayed and instantaneous density dependence and Dirichlet boundary condition is considered. The stability of the unique positive steady state solution and the occurren...
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Article
Open AccessBifurcation analysis of a diffusive model of pioneer and climax species interaction
A diffusive model of pioneer and climax species interaction is considered. We perform a detailed Hopf bifurcation analysis to the model, and derive conditions for determining the bifurcation direction and the ...
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Article
Singularity Analysis on a Planar System with Multiple Delays
A planar model with multiple delays is studied. The singularities of the model and the corresponding bifurcations are investigated by using the standard dynamical results, center manifold theory and normal for...
