{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:G6U7VO44CNMMGT6LSRSRWCJYJM","short_pith_number":"pith:G6U7VO44","schema_version":"1.0","canonical_sha256":"37a9fabb9c1358c34fcb94651b09384b0a2420a43b85394a6a9bdf971ddb5dfb","source":{"kind":"arxiv","id":"1311.3209","version":1},"attestation_state":"computed","paper":{"title":"Analysis of a malaria model with mosquito host choice and bed-net control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-bio.PE"],"primary_cat":"math.CA","authors_text":"Bruno Buonomo","submitted_at":"2013-11-13T16:58:34Z","abstract_excerpt":"A malaria model is formulated which includes the enhanced attractiveness of infectious humans to mosquitoes, as result of host manipulation by malaria parasite, and the human behavior, represented by insecticide-treated bed nets usage. The occurrence of a backward bifurcation at R_0=1 is shown to be possible, which implies that multiple endemic equilibria co-exist with a stable disease-free equilibrium when the basic reproduction number is less than unity. This phenomenon is found to be caused by disease-induced human mortality. The global asymptotic stability of the endemic equilibrium for R_"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1311.3209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-11-13T16:58:34Z","cross_cats_sorted":["math.DS","q-bio.PE"],"title_canon_sha256":"d249c8d8cadceacf9bb7164a54ed44923d3af18b2c3acbe232741accaa296088","abstract_canon_sha256":"35bbf9242a64b87cbfec5b6ced217d3e5c2c6b1e2f40804a846cc8d83afc61cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:12.694755Z","signature_b64":"u43RX0MhUzrobFmr4ghO12lcL8RpNqtvA2cdSKOM/kobICILBEm3ZYgTkn9TmYNT1CEqWhmrNX6O+7yEJXhRCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37a9fabb9c1358c34fcb94651b09384b0a2420a43b85394a6a9bdf971ddb5dfb","last_reissued_at":"2026-05-18T03:07:12.694060Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:12.694060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analysis of a malaria model with mosquito host choice and bed-net control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-bio.PE"],"primary_cat":"math.CA","authors_text":"Bruno Buonomo","submitted_at":"2013-11-13T16:58:34Z","abstract_excerpt":"A malaria model is formulated which includes the enhanced attractiveness of infectious humans to mosquitoes, as result of host manipulation by malaria parasite, and the human behavior, represented by insecticide-treated bed nets usage. The occurrence of a backward bifurcation at R_0=1 is shown to be possible, which implies that multiple endemic equilibria co-exist with a stable disease-free equilibrium when the basic reproduction number is less than unity. This phenomenon is found to be caused by disease-induced human mortality. The global asymptotic stability of the endemic equilibrium for R_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3209","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":"1311.3209","created_at":"2026-05-18T03:07:12.694152+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.3209v1","created_at":"2026-05-18T03:07:12.694152+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3209","created_at":"2026-05-18T03:07:12.694152+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6U7VO44CNMM","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6U7VO44CNMMGT6L","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6U7VO44","created_at":"2026-05-18T12:27:45.050594+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/G6U7VO44CNMMGT6LSRSRWCJYJM","json":"https://pith.science/pith/G6U7VO44CNMMGT6LSRSRWCJYJM.json","graph_json":"https://pith.science/api/pith-number/G6U7VO44CNMMGT6LSRSRWCJYJM/graph.json","events_json":"https://pith.science/api/pith-number/G6U7VO44CNMMGT6LSRSRWCJYJM/events.json","paper":"https://pith.science/paper/G6U7VO44"},"agent_actions":{"view_html":"https://pith.science/pith/G6U7VO44CNMMGT6LSRSRWCJYJM","download_json":"https://pith.science/pith/G6U7VO44CNMMGT6LSRSRWCJYJM.json","view_paper":"https://pith.science/paper/G6U7VO44","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.3209&json=true","fetch_graph":"https://pith.science/api/pith-number/G6U7VO44CNMMGT6LSRSRWCJYJM/graph.json","fetch_events":"https://pith.science/api/pith-number/G6U7VO44CNMMGT6LSRSRWCJYJM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6U7VO44CNMMGT6LSRSRWCJYJM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6U7VO44CNMMGT6LSRSRWCJYJM/action/storage_attestation","attest_author":"https://pith.science/pith/G6U7VO44CNMMGT6LSRSRWCJYJM/action/author_attestation","sign_citation":"https://pith.science/pith/G6U7VO44CNMMGT6LSRSRWCJYJM/action/citation_signature","submit_replication":"https://pith.science/pith/G6U7VO44CNMMGT6LSRSRWCJYJM/action/replication_record"}},"created_at":"2026-05-18T03:07:12.694152+00:00","updated_at":"2026-05-18T03:07:12.694152+00:00"}