Traveling waves connecting equilibrium and periodic orbit for reaction – diffusion equations with time delay and nonlocal response

@inproceedings{Huang2008TravelingWC,
  title={Traveling waves connecting equilibrium and periodic orbit for reaction – diffusion equations with time delay and nonlocal response},
  author={Wenzhang Huang},
  year={2008}
}
A class of reaction–diffusion equations with time delay and nonlocal response is considered. Assuming that the corresponding reaction equations have heteroclinic orbits connecting an equilibrium point and a periodic solution, we show the existence of traveling wave solutions of large wave speed joining an equilibrium point and a periodic solution for reaction–diffusion equations. Our approach is based on a transformation of the differential equations to integral equations in a Banach space and… CONTINUE READING

From This Paper

Topics from this paper.
1 Citations
14 References
Similar Papers

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Periodic traveling waves for diffusion equations with time delay and non-local responding reaction

  • D. Duehring, W. Huang
  • J. Dynam. Differential Equations
  • 2007
3 Excerpts

A reaction – diffusion model for a single species with age structure . I . Travelling wavefronts on unbounded domains

  • X. Zou
  • J . Differential Equations
  • 2005

Propagation and its failure in a lattice delayed differential equation with global interaction

  • S. Ma, X. Zou
  • J. Differential Equations
  • 2005

Traveling waves for delayed reaction–diffusion equations with global response (with Teresa Faria and Jianhong Wu)

  • T. Faria, W. Huang, J. Wu
  • Proc. R. Soc. Lond. Ser. A,
  • 2005
3 Excerpts

Traveling fronts in a food-limited population model with time delay

  • S. A. Gourley, M.A.J. Chaplain
  • Proc. Roy. Soc. Edinburgh Sect. A
  • 2002

A reaction–diffusion model for a single species with age structure. I

  • J. So, J. Wu, X. Zou
  • Travelling wavefronts on unbounded domains, Proc…
  • 2001

Existence of traveling wave fronts in delay reaction–diffusion system via monotone iteration method

  • X. Zou, J. Wu
  • Proc. Amer. Math. Soc
  • 1997

Similar Papers

Loading similar papers…