{"id":"W2328982500","doi":"10.3934/mbe.2012.9.819","title":"Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes","year":2012,"lang":"en","type":"article","venue":"Mathematical Biosciences & Engineering","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":119,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Basic reproduction number; Stability theory; Smoothness; Lyapunov function; Epidemic model; Exponential stability; Applied mathematics; Mathematics; Stability (learning theory); Infectious disease (medical specialty); Persistence (discontinuity); Tuberculosis; Pure mathematics; Disease; Mathematical analysis; Computer science; Medicine; Physics; Population; Environmental health","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":[0.0009019266,0.0008383999,0.001095142,0.001137793,0.0005822409,0.001408699,0.001303026,0.001467943,0.003524681],"category_scores_gemma":[0.003716927,0.0004243705,0.0008439095,0.0006279393,0.001419227,0.001394727,0.001532846,0.001104226,0.0005773811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001200058,"about_ca_system_score_gemma":0.0005465334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006740889,"about_ca_topic_score_gemma":0.002818679,"domain_scores_codex":[0.9997228,0.00008439642,0.0000142577,0.0000593795,0.00004277773,0.00007629745],"domain_scores_gemma":[0.9988251,0.0005806694,0.0002903503,0.00005602451,0.0001095213,0.0001382492],"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":[0.0002387278,0.0001334692,0.008576312,0.000127388,0.0001488255,0.0008554873,0.001045136,0.6624456,0.005595619,0.310036,0.001866099,0.008931316],"study_design_scores_gemma":[0.00003744531,0.00006561648,0.001113239,0.00001677713,0.00003020695,0.0001096982,0.0001358294,0.9551679,0.0001871355,0.04237513,0.0007404099,0.000020549],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.669084,0.001040541,0.3003814,0.002591773,0.00008744109,0.000070184,0.0005496159,0.0002572923,0.02593773],"genre_scores_gemma":[0.9807934,0.00043162,0.004463207,0.00010288,0.00005152147,0.00008418678,0.0001308038,0.00003226001,0.01391012],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006740889,"threshold_uncertainty_score":0.0134033,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05023541719411402,"score_gpt":0.3013454650089933,"score_spread":0.2511100478148793,"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."}}