{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:VJJPLKQUVSB5JUTKPZ3QIW37WC","short_pith_number":"pith:VJJPLKQU","schema_version":"1.0","canonical_sha256":"aa52f5aa14ac83d4d26a7e77045b7fb09b123dba6f7c656559159810f1d54582","source":{"kind":"arxiv","id":"1906.02513","version":1},"attestation_state":"computed","paper":{"title":"On the Dynamic Consistency of a Discrete Predator-Prey Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Milan Biswas, Nandadulal Bairagi, Priyanka Saha","submitted_at":"2019-06-06T10:46:52Z","abstract_excerpt":"We here discretize a predator-prey model by standard Euler forward method and non-standard finite difference method and then compare their dynamic properties with the corresponding continuous-time model. We show that NSFD model preserves positivity of solutions and is completely consistent with the dynamics of the corresponding continuous-time model. On the other hand, the discrete model formulated by forward Euler method does not show dynamic consistency with its continuous counterpart. Rather it shows scheme--dependent instability when step--size restriction is violated."},"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":"1906.02513","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-06-06T10:46:52Z","cross_cats_sorted":[],"title_canon_sha256":"6c08aa0379c11782cc0b6031d7178dd79b607ee5d7487b2d34e5c1c0ee918741","abstract_canon_sha256":"a922c0116bdb336becb44799e79a9ab50fd4c11bb89e9390bc2c728372fd0817"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:00.935975Z","signature_b64":"t5hC+/GnMHOZyjFPBrtx+gUE7w6s4NfLECDLRtz1m1n9HTRZCl03y8EZoRZob732R8f3kvKW5k68gnA86vlEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa52f5aa14ac83d4d26a7e77045b7fb09b123dba6f7c656559159810f1d54582","last_reissued_at":"2026-05-17T23:44:00.935348Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:00.935348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Dynamic Consistency of a Discrete Predator-Prey Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Milan Biswas, Nandadulal Bairagi, Priyanka Saha","submitted_at":"2019-06-06T10:46:52Z","abstract_excerpt":"We here discretize a predator-prey model by standard Euler forward method and non-standard finite difference method and then compare their dynamic properties with the corresponding continuous-time model. We show that NSFD model preserves positivity of solutions and is completely consistent with the dynamics of the corresponding continuous-time model. On the other hand, the discrete model formulated by forward Euler method does not show dynamic consistency with its continuous counterpart. Rather it shows scheme--dependent instability when step--size restriction is violated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.02513","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":"1906.02513","created_at":"2026-05-17T23:44:00.935440+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.02513v1","created_at":"2026-05-17T23:44:00.935440+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.02513","created_at":"2026-05-17T23:44:00.935440+00:00"},{"alias_kind":"pith_short_12","alias_value":"VJJPLKQUVSB5","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"VJJPLKQUVSB5JUTK","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"VJJPLKQU","created_at":"2026-05-18T12:33:30.264802+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/VJJPLKQUVSB5JUTKPZ3QIW37WC","json":"https://pith.science/pith/VJJPLKQUVSB5JUTKPZ3QIW37WC.json","graph_json":"https://pith.science/api/pith-number/VJJPLKQUVSB5JUTKPZ3QIW37WC/graph.json","events_json":"https://pith.science/api/pith-number/VJJPLKQUVSB5JUTKPZ3QIW37WC/events.json","paper":"https://pith.science/paper/VJJPLKQU"},"agent_actions":{"view_html":"https://pith.science/pith/VJJPLKQUVSB5JUTKPZ3QIW37WC","download_json":"https://pith.science/pith/VJJPLKQUVSB5JUTKPZ3QIW37WC.json","view_paper":"https://pith.science/paper/VJJPLKQU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.02513&json=true","fetch_graph":"https://pith.science/api/pith-number/VJJPLKQUVSB5JUTKPZ3QIW37WC/graph.json","fetch_events":"https://pith.science/api/pith-number/VJJPLKQUVSB5JUTKPZ3QIW37WC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VJJPLKQUVSB5JUTKPZ3QIW37WC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VJJPLKQUVSB5JUTKPZ3QIW37WC/action/storage_attestation","attest_author":"https://pith.science/pith/VJJPLKQUVSB5JUTKPZ3QIW37WC/action/author_attestation","sign_citation":"https://pith.science/pith/VJJPLKQUVSB5JUTKPZ3QIW37WC/action/citation_signature","submit_replication":"https://pith.science/pith/VJJPLKQUVSB5JUTKPZ3QIW37WC/action/replication_record"}},"created_at":"2026-05-17T23:44:00.935440+00:00","updated_at":"2026-05-17T23:44:00.935440+00:00"}