Speaker : Professor Sophia Jang (Department of Mathematics and Statistics, Texas Tech University)
Title : Multiple attractors in a Leslie–Gower competition system with Allee effects
Time : 2014-06-13 (Fri) 15:00 -
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: We investigate asymptotic dynamics of the classical Leslie–Gower competition model when both competing populations are subject to Allee effects. The system may possess four interior steady states. It is proved that for certain parameter regimes both competing populations may either go extinct, coexist or one population drives the other population to extinction depending on initial conditions.