Bistability in a system of two species interacting through mutualism as well as competition: Chemostat vs. Lotka-Volterra equations

Autor: Sophie de Buyl, Stefan Vet, Karoline Faust, Jan Danckaert, Didier Gonze, Lendert Gelens
Přispěvatelé: Physics, Applied Physics, Faculty of Sciences and Bioengineering Sciences, Applied Physics and Photonics, Faculty of Engineering
Jazyk: angličtina
Rok vydání: 2018
Předmět:
0301 basic medicine
DYNAMICS
Bistability
Conservation Biology
Population Dynamics
Psychologie appliquée
DIVERSITY
lcsh:Medicine
Symbiosis/physiology
COEXISTENCE
Theoretical Ecology
Low density
Statistical physics
lcsh:Science
Mathematics
Netherlands
Conservation Science
Flow Rate
Mutualism (biology)
Multidisciplinary
Agricultural and Biological Sciences(all)
Ecology
Physics
Lotka–Volterra equations
ESSENTIAL RESOURCES
Classical Mechanics
Sciences bio-médicales et agricoles
NETWORKS
Multidisciplinary Sciences
Community Ecology
MICROBIAL INTERACTIONS
Physical Sciences
Science & Technology - Other Topics
Biologie
Research Article
Evolutionary Processes
Parabolas
High density
Geometry
Chemostat
Fluid Mechanics
Models
Biological
Continuum Mechanics
03 medical and health sciences
Mutualism
Computer Simulation
Symbiosis
Community Structure
Species Extinction
COOPERATION
Evolutionary Biology
Science & Technology
STABILITY
Biochemistry
Genetics and Molecular Biology(all)
lcsh:R
Ecology and Environmental Sciences
Biology and Life Sciences
Fluid Dynamics
MODEL
Species Interactions
030104 developmental biology
Microbial Interactions
lcsh:Q
COMMUNITIES
Zdroj: PloS one, 13 (6
PLoS ONE
PLoS ONE, Vol 13, Iss 6, p e0197462 (2018)
Popis: We theoretically study the dynamics of two interacting microbial species in the chemostat. These species are competitors for a common resource, as well as mutualists due to cross-feeding. In line with previous studies (Assaneo, et al. 2013; Holland, et al. 2010; Iwata, et al. 2011), we demonstrate that this system has a rich repertoire of dynamical behavior, including bistability. Standard Lotka-Volterra equations are not capable to describe this particular system, as these account for only one type of interaction (mutualistic or competitive). We show here that the different steady state solutions can be well captured by an extended Lotka-Volterra model, which better describe the density-dependent interaction (mutualism at low density and competition at high density). This two-variable model provides a more intuitive description of the dynamical behavior than the chemostat equations.
SCOPUS: ar.j
info:eu-repo/semantics/published
Databáze: OpenAIRE
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