Abstract

In this talk I will discuss the large time behavior of solutions of various reaction-diffusion equations with a shifting heterogeneity. By shifting, we mean that the parameters depend on a moving variable with . This typically arises in the modeling of population dynamics ongoing a modification in environmental conditions (due to either climate change or invasive predator species...). If time allows, I will consider two situations depending on whether the diffusion or the reaction term contains such a heterogeneity. We will see that this type of heterogeneity may give rise to a wide range of outcomes, including nonlocally pulled speeds or threshold phenomena. The results that I will present have been obtained in collaborations with Juliette Bouhours, Gregory Faye and Matt Holzer.

WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m2bf880aa626cbaa2f60c181fb5b0a118