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

Number of the records: 1

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SYSNO ASEP	0355868
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	On the Gause predator-prey model with a refuge: A fresh look at the history
Author(s)	Křivan, Vlastimil (BC-A)_{RID, ORCID}
Number of authors	1
Source Title	Journal of Theoretical Biology. - : Elsevier - ISSN 0022-5193 Roč. 274, č. 1 (2011), s. 67-73
Number of pages	7 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	discontinuous differential equations ; Filippov solution ; holling functional response
Subject RIV	EH - Ecology, Behaviour
CEZ	AV0Z50070508 - ENTU-I, BC-A (2005-2011)
UT WOS	000288312400008
DOI	10.1016/j.jtbi.2011.01.016
Annotation	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.
Workplace	Biology Centre (since 2006)
Contact	Dana Hypšová, eje@eje.cz, Tel.: 387 775 214
Year of Publishing	2012

Number of the records: 1