{"id":"W4411547029","doi":"10.1007/s00025-025-02460-z","title":"Modeling and Dynamic Analysis for a Three-Species Model: With and Without Time Delay","year":2025,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"China Scholarship Council","keywords":"Mathematics; Applied mathematics; Statistics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008265624,0.0001475987,0.0007081805,0.0001823783,0.00006887127,0.00001005641,0.00004981701,0.0001585634,0.000007541614],"category_scores_gemma":[0.0006429926,0.00009448882,0.00005890915,0.0002054038,0.0002337152,0.00003031,0.000046234,0.0001481096,0.000001407363],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001894849,"about_ca_system_score_gemma":0.00002946676,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002463498,"about_ca_topic_score_gemma":0.00007522004,"domain_scores_codex":[0.9989697,0.00002036424,0.0004497874,0.0002685409,0.00006806775,0.0002235164],"domain_scores_gemma":[0.9989767,0.0006293747,0.00005292238,0.000215986,0.00005564599,0.00006938292],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001601111,0.0003887923,0.002632464,0.001370664,0.00119291,0.000006459516,0.0009994199,0.09772641,0.00008314985,0.893531,0.00002221998,0.0004454549],"study_design_scores_gemma":[0.001026545,0.00006731707,0.0001622118,0.0001659153,0.0005588202,0.000007854534,0.00004178322,0.6760785,0.000003874809,0.3218192,0.000001940071,0.00006602465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2992079,0.00008550483,0.6956032,0.001192017,0.000003693415,0.0003440646,0.00001238009,0.00002359105,0.003527656],"genre_scores_gemma":[0.9164258,0.00005195385,0.08152937,0.0001517469,0.000004421071,0.00004710217,0.0000120433,0.000009220244,0.001768378],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6172179,"threshold_uncertainty_score":0.3853142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02715118209491824,"score_gpt":0.3089959533182755,"score_spread":0.2818447712233573,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}