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 machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.002 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 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 source (direct Gemma or distilled Codex), 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".