{"id":"W4403135574","doi":"10.1007/s12346-024-01154-1","title":"Relaxation Oscillation, Homoclinic Orbit and Limit Cycles in a Piecewise Smooth Predator–Prey Model","year":2024,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Homoclinic orbit; Mathematics; Predation; Limit (mathematics); Orbit (dynamics); Oscillation (cell signaling); Homoclinic bifurcation; Heteroclinic orbit; Relaxation (psychology); Piecewise; Limit cycle; Mathematical analysis; Physics; Bifurcation; Nonlinear system; Biology; Ecology; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003438967,0.0003170351,0.0005776035,0.0006512794,0.0005038281,0.001005846,0.0008888155,0.0008593489,0.001638539],"category_scores_gemma":[0.001522927,0.0003209105,0.000447636,0.0003998593,0.001383592,0.001060826,0.000870294,0.0005674281,0.0001106726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006865237,"about_ca_system_score_gemma":0.0004714104,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004096479,"about_ca_topic_score_gemma":0.00144482,"domain_scores_codex":[0.9999129,0.00003415047,0.000003865519,0.00001424592,0.0000168425,0.00001815583],"domain_scores_gemma":[0.9995864,0.0001777732,0.0001098496,0.00002520937,0.00003131163,0.00006940452],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001979659,0.00009672282,0.0041021,0.0001639337,0.0001190178,0.0007527,0.0005476644,0.6103038,0.007259869,0.3676882,0.001612608,0.00715547],"study_design_scores_gemma":[0.00002010533,0.00003768265,0.00088769,0.000008009552,0.00001920463,0.00009881477,0.0001094186,0.9174976,0.00009865574,0.08091481,0.0002909354,0.00001700553],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8685529,0.0007569527,0.1148348,0.001256179,0.00005602474,0.00002913282,0.0001531953,0.0001070512,0.0142538],"genre_scores_gemma":[0.9947843,0.0001755546,0.002399758,0.0000301428,0.00001510264,0.00001204464,0.00002166534,0.00001040803,0.002551036],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004096479,"threshold_uncertainty_score":0.008145273,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06191243583035444,"score_gpt":0.3753527581142845,"score_spread":0.3134403222839301,"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."}}