{"id":"W2168410117","doi":"10.1016/j.jde.2004.05.002","title":"Saddle-point behavior for monotone semiflows and reaction–diffusion models","year":2004,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":56,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Saddle point; Bistability; Monotone polygon; Mathematics; Saddle; Reaction–diffusion system; Diffusion; Competition (biology); Pure mathematics; Statistical physics; Mathematical analysis; Mathematical optimization; Geometry; Physics; Thermodynamics; Quantum mechanics","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":[0.006334049,0.001337666,0.002928091,0.002211617,0.001342266,0.004032147,0.002534808,0.004166375,0.005336699],"category_scores_gemma":[0.02445763,0.001172472,0.002514072,0.001227933,0.003935209,0.005317433,0.002630179,0.002645188,0.0005175891],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002350255,"about_ca_system_score_gemma":0.001692767,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004588929,"about_ca_topic_score_gemma":0.002181982,"domain_scores_codex":[0.9988058,0.0006128569,0.00006387066,0.0001909943,0.0001752059,0.0001514246],"domain_scores_gemma":[0.985453,0.01079468,0.001513757,0.0004043968,0.0009728472,0.0008614495],"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":[0.0000670978,0.00006727677,0.001281411,0.0001429149,0.0001168886,0.0002401094,0.000270814,0.1061895,0.001507452,0.8838485,0.002356189,0.003911743],"study_design_scores_gemma":[0.00004250336,0.0000269977,0.0003655013,0.0000207882,0.00002242168,0.00008394753,0.000057226,0.4825103,0.00009645287,0.51616,0.0005823408,0.00003154386],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2161579,0.002874171,0.7555001,0.007403349,0.0002755391,0.0001678625,0.0004821379,0.0003184309,0.01682058],"genre_scores_gemma":[0.9356096,0.002932867,0.04138116,0.000630112,0.0003860236,0.0002988464,0.0004475286,0.00017025,0.01814364],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006334049,"threshold_uncertainty_score":0.03349805,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05107176519833124,"score_gpt":0.3176483588581051,"score_spread":0.2665765936597739,"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."}}