{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YGRY3RKWOQL7EZPY44J4T5UVHF","short_pith_number":"pith:YGRY3RKW","schema_version":"1.0","canonical_sha256":"c1a38dc5567417f265f8e713c9f6953948d794c45d967d2cb2c0c95acdcc4aed","source":{"kind":"arxiv","id":"1703.09266","version":1},"attestation_state":"computed","paper":{"title":"Canard Phenomenon in a modified Slow-Fast Leslie-Gower and Holling type scheme model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"B. Ambrosio, M.A. Aziz-Alaoui, R. Yafia","submitted_at":"2017-03-27T18:56:14Z","abstract_excerpt":"Geometrical Singular Perturbation Theory has been successful to investigate a broad range of biological problems with different time scales. The aim of this paper is to apply this theory to a predator-prey model of modified Leslie-Gower type for which we consider that prey reproduces mush faster than predators. This naturally leads to introduce a small parameter $\\epsilon$ which gives rise to a slow-fast system. This system has a special folded singularity which has not been analyzed in the classical work of Krupa-Szmolyan. We use the blow-up technique to visualize the behavior near this fold "},"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":"1703.09266","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-27T18:56:14Z","cross_cats_sorted":[],"title_canon_sha256":"5f439dfeeb163a749e393b728cf668ea31e91245d96ad29a56d69421bc6d64c9","abstract_canon_sha256":"a744c82e98865ecc14c6e1044e9c6776acd6c10afbfd6d5a74eb4166fd247f2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:45.048117Z","signature_b64":"16tgUKYu0+oFQmXrtq1u0JXVKZSOFhwbNSmb5ofj1eAQASR35BL/fpds5ISsn8PG/56KVDySArv6vbLNtXRABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1a38dc5567417f265f8e713c9f6953948d794c45d967d2cb2c0c95acdcc4aed","last_reissued_at":"2026-05-18T00:47:45.047383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:45.047383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Canard Phenomenon in a modified Slow-Fast Leslie-Gower and Holling type scheme model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"B. Ambrosio, M.A. Aziz-Alaoui, R. Yafia","submitted_at":"2017-03-27T18:56:14Z","abstract_excerpt":"Geometrical Singular Perturbation Theory has been successful to investigate a broad range of biological problems with different time scales. The aim of this paper is to apply this theory to a predator-prey model of modified Leslie-Gower type for which we consider that prey reproduces mush faster than predators. This naturally leads to introduce a small parameter $\\epsilon$ which gives rise to a slow-fast system. This system has a special folded singularity which has not been analyzed in the classical work of Krupa-Szmolyan. We use the blow-up technique to visualize the behavior near this fold "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09266","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":"1703.09266","created_at":"2026-05-18T00:47:45.047521+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.09266v1","created_at":"2026-05-18T00:47:45.047521+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09266","created_at":"2026-05-18T00:47:45.047521+00:00"},{"alias_kind":"pith_short_12","alias_value":"YGRY3RKWOQL7","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YGRY3RKWOQL7EZPY","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YGRY3RKW","created_at":"2026-05-18T12:31:56.362134+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/YGRY3RKWOQL7EZPY44J4T5UVHF","json":"https://pith.science/pith/YGRY3RKWOQL7EZPY44J4T5UVHF.json","graph_json":"https://pith.science/api/pith-number/YGRY3RKWOQL7EZPY44J4T5UVHF/graph.json","events_json":"https://pith.science/api/pith-number/YGRY3RKWOQL7EZPY44J4T5UVHF/events.json","paper":"https://pith.science/paper/YGRY3RKW"},"agent_actions":{"view_html":"https://pith.science/pith/YGRY3RKWOQL7EZPY44J4T5UVHF","download_json":"https://pith.science/pith/YGRY3RKWOQL7EZPY44J4T5UVHF.json","view_paper":"https://pith.science/paper/YGRY3RKW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.09266&json=true","fetch_graph":"https://pith.science/api/pith-number/YGRY3RKWOQL7EZPY44J4T5UVHF/graph.json","fetch_events":"https://pith.science/api/pith-number/YGRY3RKWOQL7EZPY44J4T5UVHF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YGRY3RKWOQL7EZPY44J4T5UVHF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YGRY3RKWOQL7EZPY44J4T5UVHF/action/storage_attestation","attest_author":"https://pith.science/pith/YGRY3RKWOQL7EZPY44J4T5UVHF/action/author_attestation","sign_citation":"https://pith.science/pith/YGRY3RKWOQL7EZPY44J4T5UVHF/action/citation_signature","submit_replication":"https://pith.science/pith/YGRY3RKWOQL7EZPY44J4T5UVHF/action/replication_record"}},"created_at":"2026-05-18T00:47:45.047521+00:00","updated_at":"2026-05-18T00:47:45.047521+00:00"}