{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:MDMT34EBNLTVBJSONOI3CZFACR","short_pith_number":"pith:MDMT34EB","schema_version":"1.0","canonical_sha256":"60d93df0816ae750a64e6b91b164a014517bd183d4ee667d343ca1edfe76e2dd","source":{"kind":"arxiv","id":"2504.18035","version":1},"attestation_state":"computed","paper":{"title":"Dynamics and Control of Additional Food Provided Prey-Predator Systems exhibiting Holling Type-III Functional Response and Intra-specific Competition among Predators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"D Bhanu Prakash, D K K Vamsi","submitted_at":"2025-04-25T03:01:59Z","abstract_excerpt":"The dynamics of predator-prey systems influenced by intra-specific competition and additional food resources have increasingly become a subject of rigorous study in the realm of mathematical biology. In this study, we consider an additional food provided prey-predator model exhibiting Holling type-III functional response and the intra-specific competition among predators. We prove the existence and uniqueness of global positive solutions for the proposed model. We study the existence and stability of equilibrium points and further explore the possible bifurcations. We numerically depict the pr"},"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":"2504.18035","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2025-04-25T03:01:59Z","cross_cats_sorted":[],"title_canon_sha256":"373b8dbdc12490708f400368111b11ff8dec12d8a92fe4655e786d8d8a6a1e58","abstract_canon_sha256":"6c307b8d35c976d6fe6ee3eac7cbf65add8c12c128b7a366cdb09fc99189a810"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:54:00.555252Z","signature_b64":"6tJT7G1NMkyAvPM5gp0LezVi3Tm+T+K+SGXlg32PObxKs8KMirNVe8mn5+Hpg230M7tPodp4ZJcApZZ4RxPAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60d93df0816ae750a64e6b91b164a014517bd183d4ee667d343ca1edfe76e2dd","last_reissued_at":"2026-07-05T10:54:00.554842Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:54:00.554842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics and Control of Additional Food Provided Prey-Predator Systems exhibiting Holling Type-III Functional Response and Intra-specific Competition among Predators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"D Bhanu Prakash, D K K Vamsi","submitted_at":"2025-04-25T03:01:59Z","abstract_excerpt":"The dynamics of predator-prey systems influenced by intra-specific competition and additional food resources have increasingly become a subject of rigorous study in the realm of mathematical biology. In this study, we consider an additional food provided prey-predator model exhibiting Holling type-III functional response and the intra-specific competition among predators. We prove the existence and uniqueness of global positive solutions for the proposed model. We study the existence and stability of equilibrium points and further explore the possible bifurcations. We numerically depict the pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.18035","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.18035/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2504.18035","created_at":"2026-07-05T10:54:00.554901+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.18035v1","created_at":"2026-07-05T10:54:00.554901+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.18035","created_at":"2026-07-05T10:54:00.554901+00:00"},{"alias_kind":"pith_short_12","alias_value":"MDMT34EBNLTV","created_at":"2026-07-05T10:54:00.554901+00:00"},{"alias_kind":"pith_short_16","alias_value":"MDMT34EBNLTVBJSO","created_at":"2026-07-05T10:54:00.554901+00:00"},{"alias_kind":"pith_short_8","alias_value":"MDMT34EB","created_at":"2026-07-05T10:54:00.554901+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.18613","citing_title":"Additional Food Enhances the Bifurcation Structure of Predator Competition Models","ref_index":75,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR","json":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR.json","graph_json":"https://pith.science/api/pith-number/MDMT34EBNLTVBJSONOI3CZFACR/graph.json","events_json":"https://pith.science/api/pith-number/MDMT34EBNLTVBJSONOI3CZFACR/events.json","paper":"https://pith.science/paper/MDMT34EB"},"agent_actions":{"view_html":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR","download_json":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR.json","view_paper":"https://pith.science/paper/MDMT34EB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.18035&json=true","fetch_graph":"https://pith.science/api/pith-number/MDMT34EBNLTVBJSONOI3CZFACR/graph.json","fetch_events":"https://pith.science/api/pith-number/MDMT34EBNLTVBJSONOI3CZFACR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR/action/storage_attestation","attest_author":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR/action/author_attestation","sign_citation":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR/action/citation_signature","submit_replication":"https://pith.science/pith/MDMT34EBNLTVBJSONOI3CZFACR/action/replication_record"}},"created_at":"2026-07-05T10:54:00.554901+00:00","updated_at":"2026-07-05T10:54:00.554901+00:00"}