{"paper":{"title":"Analysis of a one-dimensional forager-exploiter model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Michael Winkler, Youshan Tao","submitted_at":"2019-02-03T05:16:22Z","abstract_excerpt":"\\begin{abstract} \\noindent % We consider the one-dimensional parabolic system\n  The system\n  \\bas\n  \\left\\{ \\begin{array}{l}\n  u_t= u_{xx} - \\chi_1 (uw_x)_x, \\\\[1mm]\n  v_t = v_{xx} - \\chi_2 (vu_x)_x, \\\\[1mm]\n  w_t = dw_{xx} - \\lambda (u+v)w - \\mu w + r,\n  \\end{array} \\right.\n  \\eas % that has been proposed as a model to describe social interactions within mixed forager-exploiter groups. is considered in a bounded real interval, with positive parameters $\\chi_1,\\chi_2,d,\\lambda$ and $\\mu$, and with $r \\ge 0$. Proposed to describe social interactions within mixed forager-exploiter groups, this m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00848","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"}