Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment
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Bibliographic record
Abstract
In this paper, we propose a mathematical model to describe the avianinfluenza dynamics in wild birds with bird mobility andheterogeneous environment incorporated. In addition to establishingthe basic properties of solutions to the model, we also prove thethreshold dynamics which can be expressed either by the basicreproductive number or by the principal eigenvalue of thelinearization at the disease free equilibrium. When the environmentfactor in the model becomes a constant (homogeneous environment), weare able to find explicit formulas for the basic reproductivenumber and the principal eigenvalue. We also perform numericalsimulation to explore the impact of the heterogeneous environment onthe disease dynamics. Our analytical and numerical results revealthat the avian influenza dynamics in wild birds is highly affectedby both bird mobility and environmental heterogeneity.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
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.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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