Dynamical analysis of dispersal impact on a three-patch based predator-prey system with strong Allee effected preys
Bibliographic record
Abstract
This paper describes a three-patch based predator-prey interaction model where a strong Allee effect accomplishes each prey species in their respective patches. It is also assumed that only the prey species are movable among the patches following the balanced dispersal rule. The stability behavior at the inner equilibrium point has been studied in the presence and non-existence of dispersal. This study also observes a vital characteristic of the Allee edge regarding the stability of the equilibrium of the model when prey species progress freely in their patches. Also, the dispersal can destabilize the interior equilibrium of populations, i.e., if the interior equilibrium becomes unstable in the absence of dispersal under some conditions, it becomes stabilized under some conditions whenever the prey species move among their patches. The Hopf bifurcation behavior of the system has been studied and numerical simulations have been performed taking hypothetical parameter values using MATHEMATICA and MATLAB software.
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How this classification was reachedexpand
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 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".