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rdf:type
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Description
| - Práce se zabývá stabilitou modelů popsaných po částech nezávislými diferenciálními rovnicemi. Takové modely se vyskytují při popisu genových sítí, v ekologii a pod. Teoretické výsledky jsou v práci aplikovány na model populační dynamiky dvou kompetujících si druhů. (cs)
- In this article we construct Lyapunov functions formodels described by piecewise-continuous and independent differential equations. Because these models are described by discontinuous differential equations, the theory of Lyapunov functions for smooth dynamical systems is not applicable. Instead, we use a geometrical approach to construct a Lyapunov function. Then we apply the general approach to analyze population dynamics describing exploitative competition of two species in a two-patch environment. We prove that for any biologically meaningful parameter combination the model has a globally stable equilibrium and we analyze this equilibrium with respect to parameters.
- In this article we construct Lyapunov functions formodels described by piecewise-continuous and independent differential equations. Because these models are described by discontinuous differential equations, the theory of Lyapunov functions for smooth dynamical systems is not applicable. Instead, we use a geometrical approach to construct a Lyapunov function. Then we apply the general approach to analyze population dynamics describing exploitative competition of two species in a two-patch environment. We prove that for any biologically meaningful parameter combination the model has a globally stable equilibrium and we analyze this equilibrium with respect to parameters. (en)
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Title
| - A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments
- A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments (en)
- Lypunovova funkce pro modely popsané po částech nezávislými diferenciálními rovnicemi: Stabilita prostorového rozložení populací (cs)
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skos:prefLabel
| - A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments
- A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments (en)
- Lypunovova funkce pro modely popsané po částech nezávislými diferenciálními rovnicemi: Stabilita prostorového rozložení populací (cs)
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skos:notation
| - RIV/60077344:_____/07:00080591!RIV07-AV0-60077344
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(IAA100070601), Z(AV0Z10190503), Z(AV0Z50070508), Z(MSM6007665801)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/60077344:_____/07:00080591
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - interspecific competition; ideal free distribution; optimal foraging (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - DE - Spolková republika Německo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Journal of Mathematical Biology
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Křivan, Vlastimil
- Vrkoč, Ivo
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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