The spatially homogeneous Hopf bifurcation induced jointly by memory and general delays in a diffusive system

@article{Lv2021TheSH,
  title={The spatially homogeneous Hopf bifurcation induced jointly by memory and general delays in a diffusive system},
  author={Yehu Lv},
  journal={Chaos, Solitons \& Fractals},
  year={2021}
}
  • Yehu Lv
  • Published 28 December 2021
  • Mathematics
  • Chaos, Solitons & Fractals
1 Citations

Figures from this paper

Local Dynamics of a New Four-Dimensional Quadratic Autonomous System

References

SHOWING 1-10 OF 52 REFERENCES

Memory-based movement with spatiotemporal distributed delays in diffusion and reaction

Diffusive spatial movement with memory and maturation delays

A single species spatial population model that incorporates Fickian diffusion, memory-based diffusion, and reaction with maturation delay is formulated. The stability of a positive equilibrium and

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

Control of the Hopf-Turing transition by time-delayed global feedback in a reaction-diffusion system.

  • Pushpita Ghosh
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
This work explores the possibility that delayed feedback may generate Turing instability via a Hopf-Turing transition, resulting in stationary patterns in a photosensitive chlorine dioxide-iodine-malonic acid reaction-diffusion system where the delayed feedback is externally tuned by photoillumination intensity.

Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory

Spatial memory is inevitable in animal movement modeling but elusive in many classical models. A nonlocal integral term involving space is a traditional way to incorporate spatial memory, but the
...