| Autor: |
Dalziel BD; Department of Integrative Biology and Department of Mathematics, Oregon State University, Corvallis, USA., Thomann E; Department of Mathematics, Oregon State University, Corvallis, USA., Medlock J; Department of Biomedical Sciences, Oregon State University, Corvallis, USA., De Leenheer P; Department of Integrative Biology and Department of Mathematics, Oregon State University, Corvallis, USA. deleenhp@math.oregonstate.edu. |
| Jazyk: |
angličtina |
| Zdroj: |
Journal of mathematical biology [J Math Biol] 2020 Jul; Vol. 81 (1), pp. 159-183. Date of Electronic Publication: 2020 May 17. |
| DOI: |
10.1007/s00285-020-01504-y |
| Abstrakt: |
We consider a modified Holling-type II predator-prey model, based on the premise that the search rate of predators is dependent on the prey density, rather than constant. A complete analysis of the global behavior of the model is presented, and shows that the model exhibits a dichotomy similar to the classical Holling-type II model: either the coexistence steady state is globally stable; or it is unstable, and then a unique, globally stable limit cycle exists. We discuss the similarities, but also important differences between our model and the Holling-type II model. The main differences are that: 1. The paradox of enrichment which always occurs in the Holling-type II model, does not always occur here, and 2. Even when the paradox of enrichment occurs, predators can adapt by lowering their search rate, and effectively stabilize the system. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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