Počet záznamů: 1
On the Gause predator-prey model with a refuge: A fresh look at the history
- 1.0355868 - BC 2012 RIV GB eng J - Článek v odborném periodiku
Křivan, Vlastimil
On the Gause predator-prey model with a refuge: A fresh look at the history.
Journal of Theoretical Biology. Roč. 274, č. 1 (2011), s. 67-73. ISSN 0022-5193. E-ISSN 1095-8541
Grant ostatní: Department of Agriculture(US) EF-0832858
Výzkumný záměr: CEZ:AV0Z50070508
Klíčová slova: discontinuous differential equations * Filippov solution * holling functional response
Kód oboru RIV: EH - Ekologie - společenstva
Impakt faktor: 2.208, rok: 2011
This article re-analyses the Gause prey–predator model with a refuge. The model is described by a differential equation with a discontinuity in the right hand-side , and trajectories are defined in the Filippov sense.The article shows that depending on parameter values, there are threepossibilities: (1) trajectories converge to a limit cycle, aspredicted by Gause, (2) trajectories converge to an equilibrium, or (3) the prey population escapes predator control and grows to infinity.
Trvalý link: http://hdl.handle.net/11104/0194538
Počet záznamů: 1