Stochastic dynamics and survival analysis of a cell population model with random perturbations.
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.
['Anton|Cristina|C|', 'Yong|Alan|A|']
D002460:Cell Line D002470:Cell Survival D003198:Computer Simulation D003603:Cytotoxins D006801:Humans D016014:Linear Models D016015:Logistic Models D008390:Markov Chains D055641:Mathematical Concepts D008954:Models, Biological D009010:Monte Carlo Method D013269:Stochastic Processes
extinction stationary distribution Stochastic logistic equation ergodic property stochastic permanence