Related Experiment Video
Updated: Jun 10, 2026

Daily Transfers, Archiving Populations, and Measuring Fitness in the Long-Term Evolution Experiment with Escherichia coli
Published on: August 18, 2023
Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion
1Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China. liumeng0557@sina.com
Abstract:
Stochastic competitive models with pollution and without pollution are proposed and studied. For the first system with pollution, sufficient criteria for extinction, nonpersistence in the mean, weak persistence in the mean, strong persistence in the mean, and stochastic permanence are established. The threshold between weak persistence in the mean and extinction for each population is obtained. It is found that stochastic disturbance is favorable for the survival of one species and is unfavorable for the survival of the other species. For the second system with pollution, sufficient conditions for extinction and weak persistence are obtained. For the model without pollution, a partial stochastic competitive exclusion principle is derived.
Related Concept Videos
Microbial Interactions: Competition
Competition
Modeling with Differential Equations
Limits to Natural Selection
Assumptions of Survival Analysis
Censoring Survival Data

