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DTSTART;TZID=America/Los_Angeles:20210518T090000
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SUMMARY:Cinzia Soresina (University of Graz): The influence of cross-diffusion in pattern formation: multistability and Hopf bifurcations
DESCRIPTION:Abstract\nThe Shigesada-Kawasaki-Teramoto model (SKT) was proposed to account for stable inhomogeneous steady states exhibiting spatial segregation\, which describes a situation of coexistence of two competing species. Even though the reaction part does not present the activator-inhibitor structure\, the cross-diffusion terms are the key ingredient for the appearance of spatial patterns. We provide a deeper understanding of the conditions required on both the cross-diffusion and the reaction coefficients for non-homogeneous steady states to exist\, by combining a detailed linearised and weakly non-linear analysis with advanced numerical bifurcation methods via the continuation software pde2path. In particular\, we study the role of the additional cross-diffusion term in pattern formation\, showing that the bifurcation diagram undergoes major deformations leading to multistability regions. The presence of time-periodic spatial pattern appearing via Hopf bifurcation points is also investigated. \nZoom link: https://liu-se.zoom.us/j/63158449287 \nPast lectures are on the YouTube channel: https://www.youtube.com/c/TheoreticalEcologySeminarSeries \neventbrite link (for reminders): https://www.eventbrite.co.uk/e/theoretical-ecology-seminar-series-tickets-119884512805
URL:https://iite.info/event/cinzia-soresina-tbd/
CATEGORIES:IITE Seminar
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