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AIMS Lab Seminar - Yurij Salmaniw - Modelling Habitat Loss with Partial Differential Equations: Global Dynamics for a Habitat Degradation Model

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Speaker: Yurij Salmaniw (University of Alberta)

Title: Modelling Habitat Loss with Partial Differential Equations: Global Dynamics for a Habitat Degradation Model

Abstract: In 2001, the late (and great) Steve Irwin was asked what he saw as Australia’s biggest environmental issue: “I believe our biggest issue is the same biggest issue that the whole world is facing, and that’s habitat destruction.” Indeed, habitat loss has many negative implications and cascading effects, and it is therefore important to understand how, exactly, different forms of habitat loss may impact interacting species. In this talk, I will introduce a spatially explicit (i.e. a PDE) habitat degradation model applied to a two species competition-diffusion system. Through a study of the resultant monotone dynamical system and linearized stability, we are able to determine the full global dynamics of the steady states associated to the time dependent problem. In particular, it will be shown that under biologically reasonable assumptions, coexistence is always a possibility. This is in contrast to the well-known phenomenon of “the slower diffuser always wins!”. Then, time permitting, I will discuss some of the implications and future directions of this work. 

Date/Time: Monday November 16, 11:30am - 12:20pm

Location: Virtual

Join Zoom Meeting
https://mcmaster.zoom.us/j/91056982661?pwd=ZndCRXA3MnUvSU5mQUZqd1JXQk5QUT09

Meeting ID: 910 5698 2661
Passcode: 415742
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