Some paradoxical effects of the advection on a class of diffusive equations in ecology Articles uri icon

authors

  • GONZALEZ DE LA ALEJA GALLEGO, DAVID
  • LÓPEZ-GÓMEZ, JULIAN

publication date

  • December 2014

start page

  • 3031

end page

  • 3056

issue

  • 10

volume

  • 19

International Standard Serial Number (ISSN)

  • 1531-3492

abstract

  • In this paper we refine in a substantial way part of the materials of the celebrated paper of Belgacem and Cosner [3] by considering a rather general class of degenerate diffusive logistic equations in the presence of advection. Rather paradoxically, a large advection can provoke the stabilization to an steady state of a former explosive solution. Similarly, even with a severe taxis down the environmental gradient the species can be permanent.

keywords

  • advection; diffusive logistic equations; dynamics