{"id":"W2318388350","doi":"10.3934/mbe.2015.12.661","title":"Stability and persistence in ODE modelsfor populations with many stages","year":2015,"lang":"en","type":"article","venue":"Mathematical Biosciences & Engineering","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Persistence (discontinuity); Ode; Uniqueness; Ordinary differential equation; Mathematics; Applied mathematics; Stability (learning theory); Extinction (optical mineralogy); Population; Basic reproduction number; Mathematical economics; Differential equation; Mathematical analysis; Biology; Computer science; Demography","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007865342,0.0009169333,0.0009417058,0.0008105881,0.0006200924,0.001693453,0.00102788,0.001397031,0.001268661],"category_scores_gemma":[0.003050267,0.0004058761,0.001033678,0.0005657373,0.00118889,0.001568305,0.002211984,0.001080129,0.0001775976],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001139058,"about_ca_system_score_gemma":0.0007149875,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002778334,"about_ca_topic_score_gemma":0.002029931,"domain_scores_codex":[0.9996461,0.0001178972,0.00002897827,0.00007138453,0.00007497248,0.00006069754],"domain_scores_gemma":[0.9989674,0.000527553,0.0002618344,0.00004884342,0.0001179322,0.00007638579],"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":[0.00007544193,0.00008533832,0.003604495,0.0001807674,0.00009813214,0.0005392439,0.0005099491,0.5081484,0.01150657,0.4672391,0.001087406,0.006925226],"study_design_scores_gemma":[0.00001610224,0.00004163905,0.0004201991,0.00001495376,0.00001926748,0.00007540469,0.00004496397,0.9094606,0.0003526909,0.08861002,0.0009257318,0.0000184204],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3389029,0.002689184,0.6427026,0.00246881,0.0001417012,0.000107151,0.0003740464,0.0001616811,0.01245197],"genre_scores_gemma":[0.9698089,0.001308116,0.01839229,0.0001137055,0.0001466261,0.0001537992,0.0001484632,0.00003687166,0.009891181],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002778334,"threshold_uncertainty_score":0.008264482,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.111218347289744,"score_gpt":0.2931694679764237,"score_spread":0.1819511206866797,"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."}}