Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments. / Lindström, Torsten; Cheng, Yuanji; Chakraborty, Subhendu.

In: SIAM Journal on Applied Mathematics, Vol. 80, No. 6, 2020, p. 2338-2364.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Lindström, T, Cheng, Y & Chakraborty, S 2020, 'Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments', SIAM Journal on Applied Mathematics, vol. 80, no. 6, pp. 2338-2364. https://doi.org/10.1137/19M1294186

APA

Lindström, T., Cheng, Y., & Chakraborty, S. (2020). Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments. SIAM Journal on Applied Mathematics, 80(6), 2338-2364. https://doi.org/10.1137/19M1294186

Vancouver

Lindström T, Cheng Y, Chakraborty S. Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments. SIAM Journal on Applied Mathematics. 2020;80(6):2338-2364. https://doi.org/10.1137/19M1294186

Author

Lindström, Torsten ; Cheng, Yuanji ; Chakraborty, Subhendu. / Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments. In: SIAM Journal on Applied Mathematics. 2020 ; Vol. 80, No. 6. pp. 2338-2364.

Bibtex

@article{82e63ae0075d4901b85fb9c8cdc6971f,
title = "Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments",
abstract = "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.",
keywords = "Algae blooms, Bifurcation, Limit cycle, Mixotrophy, Multiple attractors, Saturation",
author = "Torsten Lindstr{\"o}m and Yuanji Cheng and Subhendu Chakraborty",
note = "Publisher Copyright: {\textcopyright} 2020 Society for Industrial and Applied Mathematics",
year = "2020",
doi = "10.1137/19M1294186",
language = "English",
volume = "80",
pages = "2338--2364",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics",
number = "6",

}

RIS

TY - JOUR

T1 - Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments

AU - Lindström, Torsten

AU - Cheng, Yuanji

AU - Chakraborty, Subhendu

N1 - Publisher Copyright: © 2020 Society for Industrial and Applied Mathematics

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Algae blooms

KW - Bifurcation

KW - Limit cycle

KW - Mixotrophy

KW - Multiple attractors

KW - Saturation

U2 - 10.1137/19M1294186

DO - 10.1137/19M1294186

M3 - Journal article

AN - SCOPUS:85096862932

VL - 80

SP - 2338

EP - 2364

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 6

ER -

ID: 269662470