Analysis of linear determinacy for spread in cooperative models.

  title={Analysis of linear determinacy for spread in cooperative models.},
  author={Hans F. Weinberger and Mark A Lewis and Bingtuan Li},
  journal={Journal of mathematical biology},
  volume={45 3},
  • Hans F. Weinberger, Mark A Lewis, Bingtuan Li
  • Published 2002 in Journal of mathematical biology
The discrete-time recursion system u_[n+1]=Q[u_n] with u_n(x) a vector of population distributions of species and Q an operator which models the growth, interaction, and migration of the species is considered. Previously known results are extended so that one can treat the local invasion of an equilibrium of cooperating species by a new species or mutant. It is found that, in general, the resulting change in the equilibrium density of each species spreads at its own asymptotic speed, with the… CONTINUE READING
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