{"total":2,"items":[{"citing_arxiv_id":"2604.14759","ref_index":11,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Beyond the Critical Depth: The Metabolic and Physical Drivers of Phytoplankton Persistence in a Changing Ocean","primary_cat":"math.DS","submitted_at":"2026-04-16T08:20:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A non-autonomous dynamical systems framework shows metabolic constraints increasingly govern phytoplankton persistence in a warming ocean, producing a global expansion of metabolic-driven regimes and a 1:4 ratio of new viable niches to ice-free polar deserts.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"and constants used in the model. 3. Threshold Dynamics and Global Persistence Analysis. The long-term fate of the marine ecosystem in our model is determined by the stability of the extinction equilibrium. While this approach generalizes the critical depth criteria of Sverdrup [40], it is formally rooted in the modern theory of coexistence and invasion analysis [11]. Our framework is analogous to the derivation of the Basic Reproduction Number (R0) in epidemiological models for periodic environments [43]; we investigate the per-capita growth rate of a population when rare, identifying the conditions under which a small plankton population can invade and persist 6 M. A. NETO, P. A. MARQUET, M. A. FREILICH, L."},{"citing_arxiv_id":"2505.10156","ref_index":5,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Population dynamics of generalist/specialist strategies in the feast-famine cycles","primary_cat":"q-bio.PE","submitted_at":"2025-05-15T10:28:40+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"In a stochastic model combining resource-use and growth-death trade-offs, weak growth-death trade-offs favor generalist dominance while intense trade-offs favor specialists.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}