{"id":"W2887422411","doi":"10.1016/j.jde.2018.08.022","title":"The principal eigenvalue for periodic nonlocal dispersal systems with time delay","year":2018,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":28,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Fundamental Research Funds for the Central Universities; China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; University of Science and Technology of China; Memorial University of Newfoundland; National Natural Science Foundation of China","keywords":"Eigenvalues and eigenvectors; Mathematics; Biological dispersal; Principal (computer security); Dynamics (music); Mathematical analysis; Applied mathematics; Population; Physics; Computer science; Quantum mechanics; Demography","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":[],"consensus_categories":[],"category_scores_codex":[0.0005869147,0.00009892529,0.0003500135,0.00004007279,0.0003758832,0.00002357915,0.0001051453,0.0001034736,0.0002648771],"category_scores_gemma":[0.0008705252,0.00004505358,0.0001511054,0.00005082765,0.0005940092,0.00004147876,0.00001847013,0.0001966388,0.00004647219],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002908717,"about_ca_system_score_gemma":0.0001326035,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002062467,"about_ca_topic_score_gemma":0.000006258518,"domain_scores_codex":[0.9989498,0.00009690767,0.0004726576,0.00009055522,0.000163999,0.0002260883],"domain_scores_gemma":[0.9980032,0.001179747,0.0002059339,0.0001281148,0.0003233993,0.0001595912],"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":[0.001596072,0.0003296286,0.0002026081,0.00005001583,0.0004962651,0.000008628827,0.0002920379,0.00008571488,0.0004534758,0.9951812,0.0005539182,0.000750418],"study_design_scores_gemma":[0.002064353,0.003788329,0.0007649924,0.0001437967,0.0007391429,0.0003476595,0.0001216959,0.9818197,0.0001034768,0.008761713,0.001231528,0.0001135659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1512116,0.00006371269,0.8456061,0.001737222,0.0002845467,0.0002607985,0.000005428894,0.000007934227,0.0008226373],"genre_scores_gemma":[0.9976411,0.000006003591,0.0005455288,0.00009903096,0.0007478087,0.00001826497,0.000004241249,0.000009482641,0.0009285796],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9864195,"threshold_uncertainty_score":0.2900219,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0270957569364498,"score_gpt":0.2986545163942209,"score_spread":0.2715587594577711,"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."}}