The Effect of Climate Shift on a Species Submitted to Dispersion, Evolution, Growth, and Nonlocal Competition

@article{Alfaro2015TheEO,
  title={The Effect of Climate Shift on a Species Submitted to Dispersion, Evolution, Growth, and Nonlocal Competition},
  author={Matthieu Alfaro and Henri Berestycki and Ga{\"e}l Raoul},
  journal={SIAM J. Math. Analysis},
  year={2015},
  volume={49},
  pages={562-596}
}
We consider a population structured by a space variable and a phenotypical trait, submitted to dispersion, mutations, growth and nonlocal competition. We introduce the climate shift due to {\it Global Warming} and discuss the dynamics of the population by studying the long time behavior of the solution of the Cauchy problem. We consider three sets of assumptions on the growth function. In the so-called {\it confined case} we determine a critical climate change speed for the extinction… CONTINUE READING

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