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\\nabla \\cdot (u \\nabla v) - u - f(u) w + \\kappa, \\\\\n  v_t = \\Delta v - v + f(u) w, \\\\\n  w_t = \\Delta w - w + v,\n  \\end{cases} \\end{align*} which models the virus dynamics in an early stage of an HIV infection, in a smooth, bounded domain $\\Omega \\subset \\mathbb R^n, n \\in \\mathbb N,$ for a parameter $\\kappa \\ge 0$ and a given function $f \\in C^1([0, \\infty))$ satisfying $f \\ge 0$, $f(0) = 0$ and $f(s) \\le K_f s^\\alpha$ for all $s \\ge 1$, some $K_f \\gt 0$ and $\\alpha \\in \\mathbb R$.\n  We prove "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10960","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.10960","created_at":"2026-05-17T23:58:24.776483+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.10960v1","created_at":"2026-05-17T23:58:24.776483+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.10960","created_at":"2026-05-17T23:58:24.776483+00:00"},{"alias_kind":"pith_short_12","alias_value":"K6OPT2VS4NHN","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"K6OPT2VS4NHNGQVN","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"K6OPT2VS","created_at":"2026-05-18T12:32:33.847187+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF","json":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF.json","graph_json":"https://pith.science/api/pith-number/K6OPT2VS4NHNGQVNRVVZA53XGF/graph.json","events_json":"https://pith.science/api/pith-number/K6OPT2VS4NHNGQVNRVVZA53XGF/events.json","paper":"https://pith.science/paper/K6OPT2VS"},"agent_actions":{"view_html":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF","download_json":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF.json","view_paper":"https://pith.science/paper/K6OPT2VS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.10960&json=true","fetch_graph":"https://pith.science/api/pith-number/K6OPT2VS4NHNGQVNRVVZA53XGF/graph.json","fetch_events":"https://pith.science/api/pith-number/K6OPT2VS4NHNGQVNRVVZA53XGF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF/action/storage_attestation","attest_author":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF/action/author_attestation","sign_citation":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF/action/citation_signature","submit_replication":"https://pith.science/pith/K6OPT2VS4NHNGQVNRVVZA53XGF/action/replication_record"}},"created_at":"2026-05-17T23:58:24.776483+00:00","updated_at":"2026-05-17T23:58:24.776483+00:00"}