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Destabilization, St...
Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments
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- Lindström, Torsten, 1965- (author)
- Linnéuniversitetet,Institutionen för matematik (MA),Vatten,Department of Mathematics, Linnæus University, Växjö, S-35195, Sweden
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- Cheng, Yuanji (author)
- Malmö universitet,Institutionen för materialvetenskap och tillämpad matematik (MTM),University of Malmö, Sweden
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- Subhendu, Chakraborty (author)
- Centre for Ocean Life, Technical University of Denmark, Kemitorvet, Kgs. Lyngby, DK-2800, Denmark; Marine Biological Section, Department of Biology, University of Copenhagen, Strandpromenaden 5, Helsinger, DK-3000, Denmark
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(creator_code:org_t)
- United States : Society for Industrial and Applied Mathematics, 2020
- 2020
- English.
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In: SIAM Journal on Applied Mathematics. - United States : Society for Industrial and Applied Mathematics. - 0036-1399 .- 1095-712X. ; 80:6, s. 2338-2364
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Abstract
Subject headings
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- The ability of mixotrophs to combine phototrophy and phagotrophy is now well recognized and found to have important implications for ecosystem dynamics. In this paper, we examine the dynamical consequences of the invasion of mixotrophs in a system that is a limiting case of the chemostat. The model is a hybrid of a competition model describing the competition between autotroph and mixotroph populations for a limiting resource, and a predator--prey-type model describing the interaction between autotroph and herbivore populations. Our results show that mixotrophs are able to invade in both autotrophic environments and environments described by interactions between autotrophs and herbivores. The interaction between autotrophs and herbivores might be in equilibrium or cycle. We find that invading mixotrophs have the ability to both stabilize and destabilize autotroph-herbivore dynamics depending on the competitive ability of mixotrophs. The invasion of mixotrophs can also result in multiple attractors.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- mixotrophy
- saturation
- bifurcation
- limit cycle
- multiple attractors
- algae blooms
- Tillämpad matematik
- Applied Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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