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

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

Abstract. We investigate spatiotemporal patterns near the Turing-Hopf and double Hopf bifurcations in a diffusive Holling-Tanner model on a one- dimensional ...

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

In this paper, the stability and dynamics of a diffusive predator–prey model with nonlocal prey competition and nonlocal fear effect are investigated.

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

p style='text-indent:20px;'>We investigate spatiotemporal patterns near the Turing-Hopf and double Hopf bifurcations in a diffusive Holling-Tanner model on ...

Spatiotemporal patterns in a diffusive predator–prey system with ...

We investigate the effect of nonlocal intraspecific prey competition on the spatiotemporal dynamics of a Holling–Tanner predator–prey model with diffusion.

Bifurcation Analysis and Spatiotemporal Dynamics in a Diffusive ...

For the temporal model, the well-posedness and persistence of the system have been discussed. We investigated the existence and the stability behavior of the ...

Spatiotemporal dynamics of a diffusive predator-prey system ...

This research concerned with a new formulation of a spatial predator-prey model with Leslie-Gower and Holling type II schemes in the presence of prey social ...

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

Spatiotemporal dynamics in a diffusive ratio-dependent predator–prey model near a Hopf–Turing bifurcation point. Author links open overlay panelYongli Song

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

Using theoretical and numerical simulations, we demonstrates that this TH interaction would significantly enhance the diversity of spatial patterns and trigger ...

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 ...

Spatiotemporal Dynamics of a Reaction Diffusive Predator‐Prey ...

Our findings reveal that various spatiotemporal patterns, such as patches, spots, and even chaos, emerge based on species diffusion rates. We ...

The spatiotemporal dynamics of a diffusive predator-prey model with ...

On one hand, in the diffusive system without the Allee effect, the pattern formation regarding the distribution of species was relatively scattered, whereas in ...

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

Some basic dynamics including the dissipation, persistence and non-persistence(i.e., one species goes extinct), the local and global stability of non-negative ...

Complex Dynamics of a Diffusive Holling-Tanner - ProQuest

We examine the existence of the positive equilibria and the related dynamical behaviors of the model and find that when the model is with weak Allee effect, the ...

SPATIOTEMPORAL DYNAMICS OF A DIFFUSIVE LESLIE-TYPE ...

For the diffusive model, firstly, it is shown that Turing (diffusion-driven) instability occurs which induces spatial inhomogeneous patterns. Next, it is proved ...

Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner ...

Downloadable! The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary ...

Spatiotemporal Dynamics of a Diffusive Leslie–Gower Predator ...

[2013] “Hopf bifurcation and. Turing instability in the reaction–diffusion Holling–. Tanner predator–prey model,” IMA J. ... model near a codi-.

Spatiotemporal dynamics of prey–predator model incorporating ...

The two-dimensional diffusive model is further discussed, highlighting various Turing patterns, including holes, stripes, and hot and cold spots ...

[PDF] Bifurcations and spatiotemporal patterns in a ratio‐dependent ...

8 Citations · Spatiotemporal dynamics in a diffusive Holling-Tanner model near codimension-two bifurcations · Turing-Hopf bifurcation of reaction-diffusion neural ...

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 ...

Dynamics of a Holling-Tanner Model - Academia.edu

We have carried out stability analysis of both the non-spatial model without diffusive spreading and of the spatial model. Turing and Hopf stability ...