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홈 > 학술정보 >학술행사 > 세미나
2018 고려대학교 수학과 Colloquium

Title
Ecological invasion in competition-diffusion systems when the exotic species is either very st
Speaker
Danielle Hilhorst   (CNRS and University de Paris-Sud )
Date
2018-11-09 16:30:00
Host
KOREA University
Place
아산이학관 526호
Abstract
Reaction-diffusion systems with a Lotka-Volterratype reaction term, also known as competition-diffusion systems, have been used to investigate the dynamics of the competition among m ecological species for a limited resource necessary to their survival and growth. Even though they have a rather simple mathematical structure, such systems may display quite interesting behaviors. In particular, while for m=2 no coexistence of the two species is usually possible, if m is larger or equal to 3 we may observe coexistence of all or a subset of the species, sensitively depending on the parameter values. Such coexistence can take the form of very complex spatio-temporal patterns and oscillations. In this talk, we will present some criteria for the non-coexistence of species, motivated by the ecological problem of the invasion of an ecosystem by an exotic species. We will show that when the environment is very favorable to the invading species the invasion will always be successful and the native species will be driven to extinction. On the other hand, if the environment is not favorable enough, the invasion will always fail. This is joint work with Lorenzo Contentoand MasayasuMimura.
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