{"id":"W2953739647","doi":"10.3934/mbe.2019299","title":"Dynamic analysis of the recurrent epidemic model","year":2019,"lang":"en","type":"article","venue":"Mathematical Biosciences & Engineering","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Hopf bifurcation; Stability (learning theory); Epidemic model; Mathematics; Bifurcation; Applied mathematics; Population; Mathematical economics; Age structure; Population model; Computer science; Medicine; Physics; Nonlinear system","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":[0.0008378181,0.0001261839,0.000627271,0.0001302275,0.00003474529,0.000004032754,0.0002279202,0.0001116357,0.0004556215],"category_scores_gemma":[0.0009458838,0.0000666734,0.0003169622,0.0007179001,0.0002517636,0.00003663955,0.00009413694,0.0002008303,0.00005471663],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002550168,"about_ca_system_score_gemma":0.00002598444,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.34287e-7,"about_ca_topic_score_gemma":3.868909e-7,"domain_scores_codex":[0.9988002,0.00002703452,0.0004499133,0.0002299142,0.0002052402,0.0002877673],"domain_scores_gemma":[0.9988233,0.0006019786,0.00007843135,0.0003586979,0.00003050807,0.0001070212],"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":[0.00001327074,0.0001392918,0.001451734,0.0002946082,0.0001923647,5.674775e-7,0.0001401102,0.04245967,0.007888395,0.9472997,0.000007310966,0.0001130105],"study_design_scores_gemma":[0.00009351047,0.00005074056,0.001951522,0.0001212015,0.0004163668,0.000005362572,0.00001618491,0.9533538,0.0004051835,0.04350641,0.000006422703,0.00007328144],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8002253,0.0000543705,0.1957421,0.000861027,0.0000957441,0.0002271226,0.000004079062,0.00003448453,0.002755791],"genre_scores_gemma":[0.9919016,0.000009901029,0.007576295,0.000190631,0.000003992754,0.000009945002,0.000001211935,0.000005620162,0.0003008262],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9108942,"threshold_uncertainty_score":0.4988735,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01547616130305975,"score_gpt":0.2756676541014143,"score_spread":0.2601914927983545,"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."}}