Bifurcation Analysis and Spatiotemporal Dynamics in a Diffusive ...

It is observed that incorporating cross-diffusion divides the bi-parametric plane into various sub-regions and dynamic patterns are analyzed in these different ...

It is observed that incorporating cross-diffusion divides the bi-parametric plane into various sub-regions and dynamic patterns are analyzed in ...

Stability and spatiotemporal dynamics in a diffusive predator–prey ...

Using the linear stability analysis, the possible bifurcation curves are obtained, and their positional relationship is determined by the discussion of their ...

Spatio-temporal dynamics in a diffusive Bazykin model

For the temporal model, we perform a bifurcation analysis and illustrate some representative dynamics through one- and two-parametric bifurcation diagrams. We ...

Spatiotemporal dynamics in a diffusive ratio-dependent predator ...

... analysis for the rich dynamics near this kind of bifurcation point. In this ... Bifurcation analysis of a diffusive ratio-dependent predator-prey model.

Bifurcation Analysis and Spatiotemporal Dynamics in a Diffusive ...

Bifurcation Analysis and Spatiotemporal Dynamics in a Diffusive Predator–Prey System Incorporating a Holling Type II Functional Response. Anshu 1. ,. Sajan 2.

Spatiotemporal dynamics in a diffusive Holling-Tanner model near ...

The theoretical results include two types, namely the normal form analysis of the double Hopf bifurcation and the Turing-Hopf bifurcation, respectively. The ...

Spatiotemporal dynamics of a diffusive predator-prey model with ...

To figure out the joint effect of delay and diffusion, we carry out Turing-Hopf bifurcation analysis and derive its normal form, from which we ...

Spatiotemporal dynamics of a diffusive predator-prey model with ...

In this paper, we discuss a diffusive predator-prey model with nonlocality and delay. Stability and bifurcation analysis suggest that the joint impacts of ...

Bifurcation analysis and transient spatio-temporal dynamics for a ...

In this paper, we study a diffusive plant-herbivore system with homogeneous and nonhomogeneous Dirichlet boundary conditions.

Bifurcation and spatiotemporal patterns in a homogeneous diffusive ...

A complete and rigorous analysis of the global dynamics of the diffusive predator–prey system (1.2) has not been achieved. Ko and Ryu [27] ...

Bifurcation analysis and transient spatio-temporal dynamics for a ...

PDF | In this paper, we study a diffusive plant-herbivore system with homogeneous and nonhomogeneous Dirichlet boundary conditions.

Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near ...

The stability of the positive constant steady state and the existence of Hopf and steady-state bifurcations are studied by analyzing the corresponding ...

Spatiotemporal dynamics for a diffusive mussel–algae model near a ...

Through analysis of the corresponding kinetic system, the existence and stability conditions of the equilibrium and the type of Hopf bifurcation are studied.

Spatiotemporal dynamics for a diffusive mussel–algae model near a ...

In this paper, the Hopf bifurcation and Turing instability for a mussel–algae model are investigated. Through analysis of the corresponding kinetic system,

Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near ...

However, Song et al. [46, 47] have verified the rigorous mathematical analysis and simulated the rich dynamics near the bifurcation point. The ...

Spatio-temporal Dynamics in a Reaction-Diffusion Equation with ...

Spectral analysis, stability, and bifurcation analysis. 4. Application to the logistic growth model. 5. Discussion. Data availability. Conflict of interest ...

prey model near a Hopf–Turing bifurcation

Spatiotemporal dynamics in a ratio-dependent predator–prey model with diffusion is stud- ied by analytical methods. Normal forms associated with ...

"Bifurcation and spatiotemporal patterns in a homogeneous diffusive ...

Hopf and steady state bifurcation analysis are carried out in details. In ... These results provide theoretical evidences to the complex spatiotemporal dynamics ...

Spatiotemporal dynamics near a supercritical Turing-Hopf ...

Spatiotemporal dynamics near a supercritical Turing-Hopf bifurcation in a two-dimensional reaction-diffusion system. W. Just, M. Bose, S ...