TY - T1 - On the dynamics of multi-species Ricker models admitting a carrying simplex SN - / UR - http://hdl.handle.net/10138/311550 T3 - A1 - Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping A2 - PB - Y1 - 2019 LA - eng AB - We study the dynamics of the Ricker model (map) T. It is known that under mild conditions, T admits a carrying simplex , which is a globally attracting invariant hypersurface of codimension one. We define an equivalence relation relative to local stability of fixed points on the boundary of Σ on the space of all 3D Ricker models admitting carrying simplices. There are a total of 33 stable equivalence classes. We list them in terms of simple inequalities on the parameters, and draw each one's pha... VO - IS - SP - OP - KW - 111 Mathematics N1 - PP - ER -