Ecological communities from random Lotka-Volterra dynamics with nonlinear functional response
We investigate the outcome of Lotka-Volterra dynamics of ecological communities with random interaction coefficients and non-linear functional response. We show in simulations that the saturation of Holling type-II response stabilises the dynamics. This is confirmed in an analytical generating-functional approach to Lotka-Volterra equations with piecewise linear saturating response. For such systems we are able to derive self-consistent relations governing the stable fixed-point phase, and to carry out a linear stability analysis to predict the onset of unstable behaviour. We investigate in detail the combined effects of the mean and variance of the random interaction coefficients, the cut-off parameter of the non-linear response, and a symmetry parameter. We find that stability and diversity increases with the introduction of functional response, where decreasing the functional response parameter has a similar effect to decreasing the symmetry parameter. We also find biomass and diversity to be less dependent on the symmetry of interactions with functional response, and co-operation to no longer have a detrimental effect on stability.
NurtureToken New!

Token crowdsale for this paper ends in

Buy Nurture Tokens

Authors

Are you an author of this paper? Check the Twitter handle we have for you is correct.

Laura Sidhom (add twitter)
Tobias Galla (edit)
Ask The Authors

Ask the authors of this paper a question or leave a comment.

Read it. Rate it.
#1. Which part of the paper did you read?

#2. The paper contains new data or analyses that is openly accessible?
#3. The conclusion is supported by the data and analyses?
#4. The conclusion is of scientific interest?
#5. The result is likely to lead to future research?

Github
User:
None (add)
Repo:
None (add)
Stargazers:
0
Forks:
0
Open Issues:
0
Network:
0
Subscribers:
0
Language:
None
Youtube
Link:
None (add)
Views:
0
Likes:
0
Dislikes:
0
Favorites:
0
Comments:
0
Other
Sample Sizes (N=):
Inserted:
Words Total:
Words Unique:
Source:
Abstract:
None
09/12/19 06:01PM
16,690
2,998
Tweets
BioPapers: Ecological communities from random Lotka-Volterra dynamics with nonlinear functional response. https://t.co/8bVItwuodU
tobiasgalla: Ecological communities from random Lotka-Volterra dynamics with nonlinear functional response (with Laura Sidhom) https://t.co/nyixJtorx7
Images
Related