Dynamics of a stage–structure Leslie–Gower model with Michaelis–Menten type harvesting
Bibliographic record
Abstract
A modified Leslie–Gower predator–prey model with stage–structure and Michaelis–Menten type harvesting in prey is proposed and studied in this work. Here, the population is divided into three sub–populations namely immature prey and mature prey as well as predator. We assume that the predator only consumes immature prey. In addition, the harvesting process only considered in the immature prey population. We investigated the existence of all possible equilibrium states of the system and discuss the stability of equilibrium state. The results has been shown that by the change of parameters, all population could eventually coexist, become extinct, or predator population will be driven to extinction and the prey population will coexist, or else the prey to extinction and the predator will exist. Furthermore, the harvesting process in the immature prey have an impact on the dynamical behaviour of system. Numerical simulations are presented to confirm the analytical results.
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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 | 0.000 | 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)
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".