{"id":"W2512705427","doi":"10.1007/s10884-016-9546-2","title":"Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model","year":2016,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":85,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"China Scholarship Council; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Traveling wave; Mathematics; Epidemic model; Ordinary differential equation; Mathematical analysis; Nonlinear system; Periodic function; Diffusion; Set (abstract data type); Partial differential equation; Periodic sequence; Operator (biology); Applied mathematics; Differential equation; Physics; Computer science","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":[0.001271538,0.001082975,0.001505326,0.001793246,0.0008720625,0.002283856,0.002165304,0.002902818,0.003137698],"category_scores_gemma":[0.004695153,0.0006916727,0.001199718,0.001041543,0.001734358,0.002508966,0.001415801,0.001289675,0.0004320389],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001090634,"about_ca_system_score_gemma":0.001244595,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006749541,"about_ca_topic_score_gemma":0.002777653,"domain_scores_codex":[0.9996302,0.0001342796,0.0000237871,0.00005392198,0.00007182104,0.00008586569],"domain_scores_gemma":[0.9982833,0.0007842698,0.00037001,0.00007900745,0.0002851834,0.0001984157],"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":[0.0002409805,0.0001508691,0.003002334,0.0002279933,0.0001963675,0.00154142,0.0005634457,0.3865759,0.005682574,0.5919721,0.004319466,0.005526602],"study_design_scores_gemma":[0.00002718949,0.00002518485,0.0002891893,0.00000902075,0.00003745281,0.0001502336,0.0000735139,0.9642482,0.00007469422,0.03469712,0.0003505823,0.00001775635],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5093188,0.002583409,0.4459316,0.0047847,0.0004472588,0.0001745018,0.0006108807,0.0002383194,0.03591055],"genre_scores_gemma":[0.9611502,0.00159207,0.01040677,0.0002760508,0.0002677707,0.0001339032,0.0002367164,0.00006099003,0.02587564],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006749541,"threshold_uncertainty_score":0.01342052,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02436314258783544,"score_gpt":0.2876249392250819,"score_spread":0.2632617966372464,"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."}}