Local stability analysis on the predator-prey model with intraguild predation
Bibliographic record
Abstract
We consider the predator-prey system with a common consuming resource that was proposed by Holt and Polis in 1997 to introduce the the effects of intraguild predation in modelling community ecology. Some of the results suggest that strong intraguild predation can even foster the coexistence of species. In 2018, the spatiotemporal dynamics of the model proposed was further analyzed to illustrate the theoretical findings previously mentioned in 1997. In this thesis, we perform transformations to the system, in order to study a simplified equivalent system. The number of parameters is re- duced without altering the biological meaning of the system or the dynamic behaviour. The local stability of the model is studied at each of the two pos- itive boundary equilibria and at the positive interior equilibrium by finding the intervals of the parameters involved. The behaviour of the system will depend on which intervals the parameters fall. The emphasis is put on the ranges of the predation rate assuming, there is less that can be done to in- fluence the parameters representing the natural birth and death rates of the prey and predator. By using the qualitative theory for autonomous planar systems, we show under which conditions each positive boundary equilibria can be a saddle, saddle node, or stable, and the interior positive equilibrium is locally asymptotically stable. Under certain conditions the positive in- terior equilibrium is a stable node. It is interesting to note that when the consumption of the common resources are equal for the predator and prey species then we would be dealing with a symmetric system.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 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".