Stochastic dynamics and survival analysis of a cell population model with random perturbations

Author
Anton, Cristina
Yong, Alan
Faculty Advisor
Date
2018
Keywords
STS , cell population model , random perturbations , stochastic dynamics
Abstract (summary)
We consider a model based on the logistic equation and linear kinetics to study the effect of toxicants with various initial concentrations on a cell population. To account for parameter uncertainties, in our model the coefficients of the linear and the quadratic terms of the logistic equation are affected by noise. We show that the stochastic model has a unique positive solution and we find conditions for extinction and persistence of the cell population. In case of persistence we find the stationary distribution. The analytical results are confirmed by Monte Carlo simulations.
Publication Information
C. Anton, A. Yong, Stochastic dynamics and survival analysis of a cell population model with random perturbations, Math BioSci. Eng., 15, (5) , 1077-1098, 2018, https://doi.org/10.3934/mbe.2018048
Notes
Item Type
Article
Language
English
Rights
All Rights Reserved