Speaker : Prof. Sophia Jang (Texas Tech University)
Title : Extinction and persistence in discrete population models with Allee effects
Time : 2017-07-11 (Tue) 15:30 - 16:30
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: In this talk, we discuss two discrete population models with Allee effects. One system is cooperative and the other is competitive. There exist a unique interior period-two solution and two boundary period-two solutions for the cooperative system. We present basins of attraction for the local attractors of the model. For the competition system, it is shown that every solution converges to an equilibrium. The system has at most four interior equilibria and basins of attraction for the local attractors will be determined.