scholarly journals Properties of Equilibria and Glassy Phases of the Random Lotka-Volterra Model with Demographic Noise

2021 ◽  
Vol 126 (25) ◽  
Author(s):  
Ada Altieri ◽  
Felix Roy ◽  
Chiara Cammarota ◽  
Giulio Biroli
2014 ◽  
Vol 45 (5) ◽  
pp. 471-484
Author(s):  
Safa Chouchane ◽  
Kais Bouzrara ◽  
Hassani Messaoud

2021 ◽  
Vol 26 (4) ◽  
pp. 505-522
Author(s):  
Jiajun Lin ◽  
Liyan Liang ◽  
Xu Han ◽  
Chen Yang ◽  
Xiaogang Chen ◽  
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Keyword(s):  

2021 ◽  
Author(s):  
QinQin Yu ◽  
Matti Gralka ◽  
Marie-Cécilia Duvernoy ◽  
Megan Sousa ◽  
Arbel Harpak ◽  
...  

AbstractDemographic noise, the change in the composition of a population due to random birth and death events, is an important driving force in evolution because it reduces the efficacy of natural selection. Demographic noise is typically thought to be set by the population size and the environment, but recent experiments with microbial range expansions have revealed substantial strain-level differences in demographic noise under the same growth conditions. Many genetic and phenotypic differences exist between strains; to what extent do single mutations change the strength of demographic noise? To investigate this question, we developed a high-throughput method for measuring demographic noise in colonies without the need for genetic manipulation. By applying this method to 191 randomly-selected single gene deletion strains from the E. coli Keio collection, we find that a typical single gene deletion mutation decreases demographic noise by 8% (maximal decrease: 81%). We find that the strength of demographic noise is an emergent trait at the population level that can be predicted by colony-level traits but not cell-level traits. The observed differences in demographic noise from single gene deletions can increase the establishment probability of beneficial mutations by almost an order of magnitude (compared to in the wild type). Our results show that single mutations can substantially alter adaptation through their effects on demographic noise and suggest that demographic noise can be an evolvable trait of a population.


2009 ◽  
Vol 2009 ◽  
pp. 1-9 ◽  
Author(s):  
Lijuan Chen ◽  
Liujuan Chen

This paper discusses a discrete periodic Volterra model with mutual interference and Holling II type functional response. Firstly, sufficient conditions are obtained for the permanence of the system. After that, we give an example to show the feasibility of our main results.


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