Počet záznamů: 1

On the Gause predator-prey model with a refuge: A fresh look at the history

  1. 1.
    0355868 - BC-A 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
    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