Special Session 66: Geometric insights in Partial Differential Equations: advances and challenges

Species that live in different habitats: How do boundary conditions affect their behavior?
Cristina Brandle
U. Carlos III de Madrid
Spain
Co-Author(s):    Pablo \`Alvarez-Caudevilla, M\`onica Molina-Becerra and Antonio Su\`arez
Abstract:
In this talk, we will show examples of population models in which two species live in two different regions of the same habitat, separated by a permeable membrane and only come into contact through it. In this context, the membrane acts as a geographical barrier, and the information exchange across it is modeled using the so-called Kedem-Katchalsky conditions. We analyze the existence and uniqueness of positive solutions as a function of the parameters involved in the system.