Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypic trait

@inproceedings{Alfaro2012TravellingWI,
  title={Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypic trait},
  author={Matthieu Alfaro and J{\'e}r{\^o}me Coville and Ga{\"e}l Raoul},
  year={2012}
}
We consider a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait. To sustain the possibility of invasion in the case where an underlying principal eigenvalue is negative, we investigate the existence of travelling wave solutions. We identify a minimal speed c∗ > 0, and prove the existence of waves when c ≥ c ∗ and the non existence when 0 ≤ c < c∗. 

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References

Publications referenced by this paper.
Showing 1-10 of 44 references

Existence of nontrivial steady states for populations structured with respect to space and a continuous trait

  • A. Arnold, L. Desvillettes, C. Prevost
  • Comm. Pure Appl. Anal. 11
  • 2012
1 Excerpt

Parallel patterns of clinal variation in Solidago altissima in its native range in central U . S . A . and its invasive range in Japan

  • D. E. Delf, T. P. Craig, Y. Ando, T. Ohgushi
  • Ecol . Lett .
  • 2012

Traveling wave solutions of spatially periodic nonlocal monostable equations

  • W. Shen, A. Zhang
  • ArXiv e-prints,
  • 2012
1 Excerpt

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