{"paper":{"title":"Asymptotic dynamics in a two-species chemotaxis model with non-local terms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Rachidi Bolaji Salako, Tahir Bachar Issa","submitted_at":"2017-01-12T05:22:34Z","abstract_excerpt":"In this study, we consider the following extended attraction chemotaxis system of two species parabolic-parabolic-elliptic type with nonlocal terms\n  \\[ \\begin{cases} u_t=d_1\\Delta u-\\chi_1\\nabla (u\\cdot \\nabla w)+u\\left(a_0-a_1u-a_2v-a_3\\int_{\\Omega}u-a_4\\int_{\\Omega}v\\right),\\quad x\\in \\Omega \\quad\\cr v_t=d_2\\Delta v-\\chi_2\\nabla (v\\cdot \\nabla w)+v\\left(b_0-b_1u-b_2v-b_3\\int_{\\Omega}u-b_4\\int_{\\Omega}v\\right),\\quad x\\in \\Omega \\quad\\cr 0=d_3\\Delta w+k u+lv-\\lambda w,\\quad x\\in \\Omega \\quad\\cr\n  \\end{cases} \\] under homogeneous Neuman boundary conditions in a bounded domain $\\Omega \\subset \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03235","kind":"arxiv","version":3},"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"}