Diffusive spatial movement with memory and maturation delays
Why is this work in the frame?
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Full frame distilled prediction
Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
- Candidate categories
- none
- Consensus categories
- none
- Domain
- Candidate signal: noneConsensus signal: none
- Study design
- Candidate signal: Theoretical or conceptualConsensus signal: none
- Genre
- Candidate signal: EmpiricalConsensus signal: Empirical
- Teacher disagreement score
- 0.737
- Threshold uncertainty score
- 0.784
- Validation status
machine_predicted_unvalidated·codex-gemma-dda1882f352a
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
- Teacher spread
- 0.242 · how far apart the two teachers sit on this one work
- Validation status
score_only:v0-immature-baseline· verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it
Abstract
Abstract A single species spatial population model that incorporates Fickian diffusion, memory-based diffusion, and reaction with maturation delay is formulated. The stability of a positive equilibrium and the crossing curves in the two-delay parameter plane on which the characteristic equation has purely imaginary roots are studied. With Neumann boundary condition, the crossing curve that separates the stable and unstable regions of the equilibrium may consist of two components, where spatially homogeneous and inhomogeneous periodic solutions are generated through Hopf bifurcation respectively. This phenomenon rarely emerges from standard partial functional differential equations with Neumann boundary condition, which indicates that the memory-based diffusion can induce more complicated spatiotemporal dynamics.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
The record
- Venue
- Nonlinearity
- Topic
- Mathematical and Theoretical Epidemiology and Ecology Models
- Field
- Medicine
- Canadian institutions
- University of Alberta
- Funders
- Division of Mathematical SciencesCanadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of CanadaNatural Sciences and Engineering Research Council of CanadaNational Natural Science Foundation of ChinaNational Science Foundation
- Keywords
- MathematicsNeumann boundary conditionMathematical analysisHopf bifurcationBifurcationBoundary (topology)DiffusionPlane (geometry)Stability (learning theory)HomogeneousPopulationBoundary value problemConstant (computer programming)Partial differential equationGeometryNonlinear systemPhysics
- Has abstract in OpenAlex
- yes