Nonlinear diffusion effects on biological population spatial patterns.

@article{Colombo2012NonlinearDE,
  title={Nonlinear diffusion effects on biological population spatial patterns.},
  author={Eduardo H Colombo and Celia Anteneodo},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={86 3 Pt 2},
  pages={036215}
}
Motivated by the observation that anomalous diffusion is a realistic feature in the dynamics of biological populations, we investigate its implications in a paradigmatic model for the evolution of a single species density u(x,t). The standard model includes growth and competition in a logistic expression, and spreading is modeled through normal diffusion… CONTINUE READING