{"paper":{"title":"Dynamics of a generalized Beverton-Holt competition model subject to Allee effects","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.DS","authors_text":"Yun Kang","submitted_at":"2015-05-21T21:46:48Z","abstract_excerpt":"We propose and study {a generalized Beverton-Holt competition model} subject to Allee effects to obtain insights on how the interplay of Allee effects and contest competition affects the persistence and the extinction of two competing species. By using {the theory of monotone dynamics} and the properties of critical curves for non-invertible maps, our analysis shows that our model has simple equilibrium dynamics for most conditions. The coexistence of two competing species occurs only if the system has four interior equilibria.} We provide an {approximation to} the basins of the boundary attra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05913","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}