A three population Lotka-Volterra competition model with two populations interacting through an interface Articles uri icon

publication date

  • February 2026

start page

  • 1

end page

  • 27

issue

  • 1

volume

  • 554

International Standard Serial Number (ISSN)

  • 0022-247X

Electronic International Standard Serial Number (EISSN)

  • 1096-0813

abstract

  • In this work we consider three species competing with each other in the same habitat. One of the species lives in the entire habitat, competing with the other two species, while the other two inhabit two disjoint regions of the habitat. These two populations just interact on a region/interface which acts as a geographical barrier. This barrier condition causes a drastic change in species behaviour compared to the classical Lotka-Volterra competitive model, showing very rich and new different situations depending on the several parameters involved in the system.

subjects

  • Mathematics

keywords

  • interface problems; competitive systems; membrane regions interchange of flux