ANALYSIS OF STABILITY AND PERSISTENCE IN A RATIO-DEPENDENT PREDATOR-PREY RESOURCE MODEL
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Bibliographic record
Abstract
This paper deals with a predator-prey model having ratio-dependent functional response with an additional predator resource. By means of a transformation of variables, we transform the model into a dynamical system in such a way that there is a one-to-one correspondence between the positive values of the original model and positive values of the transformed model, so that the results which are true for the transformed model are also valid for the original model. Mathematical analyses of the model equations with regard to the nature of equilibria, boundedness of solutions, and persistence are carried out. We obtain conditions which influence the boundedness and persistence of all the populations. From numerical calculations, we show that in the absence of any resource, the predator population density decreases and is less than the prey population density, but in the presence of a resource, the predator population density becomes enhanced and dominates the prey population density.
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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 | 0.001 |
| 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 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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