{"id":"W2028680067","doi":"10.1137/120876642","title":"Global Stability of Infectious Disease Models Using Lyapunov Functions","year":2013,"lang":"en","type":"article","venue":"SIAM Journal on Applied Mathematics","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":423,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lyapunov function; Mathematics; Applied mathematics; Eigenvalues and eigenvectors; Stability (learning theory); Lyapunov equation; Graph; Mathematical optimization; Computer science; Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000661769,0.0001945308,0.0006357905,0.00006150221,0.0001491158,0.00001337661,0.00009226747,0.0001615395,0.001693481],"category_scores_gemma":[0.0004195681,0.0001310204,0.0002118662,0.00015417,0.000317099,0.00007360992,0.00004598108,0.0003474096,0.0001072724],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009942851,"about_ca_system_score_gemma":0.0001109141,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002238679,"about_ca_topic_score_gemma":3.785693e-7,"domain_scores_codex":[0.9984701,0.00004579669,0.0007541606,0.0001775696,0.0002337957,0.0003186061],"domain_scores_gemma":[0.9983726,0.0004098429,0.0002741048,0.0003188021,0.0001651623,0.0004594522],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000147974,0.001431887,0.0005710564,0.000410315,0.0001367682,0.000007479073,0.0001027081,0.002394091,0.000289623,0.9938726,0.0002317601,0.0004036915],"study_design_scores_gemma":[0.0006574859,0.0001528623,0.0003501052,0.0001018714,0.0001992506,0.0001376974,0.0001249137,0.1680876,0.00006307483,0.830013,0.000008431381,0.0001037262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5062792,0.00002418273,0.4546087,0.000382705,0.000086573,0.0004005536,0.000007574845,0.0000363222,0.03817412],"genre_scores_gemma":[0.9841684,0.00001398127,0.01520289,0.0004495283,0.00008237831,0.00002367905,0.000002446036,0.00001441697,0.00004234346],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4778891,"threshold_uncertainty_score":0.9992191,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04597695433447826,"score_gpt":0.2967822950432727,"score_spread":0.2508053407087945,"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."}}