Pattern formation in interacting and diffusing systems in population biology.

@article{Mimura1982PatternFI,
  title={Pattern formation in interacting and diffusing systems in population biology.},
  author={Mamoru Mimura and M Yamaguti},
  journal={Advances in biophysics},
  year={1982},
  volume={15},
  pages={19-65}
}
In this article, we have been mainly concerned with spatially non-uniform stationary states and their stability, motivated by pattern formation arising in population biology. The discussions are restricted to one-dimensional space, though real systems are always distributed in at least two-dimensional space. Even if we limit ourselves to small-amplitude solutions, it seems difficult to discuss the bifurcation problems in a manner similar to that for one-dimensional space. One of the reasons is… CONTINUE READING