Stochastic dynamics and survival analysis of a cell population model with random perturbations
type: Item
instance of: scholarly article
title: Stochastic dynamics and survival analysis of a cell population model with random perturbations
zbMATH Open document ID: 1406.92486
author: Cristina A. Anton
author: Alan Yong
published in: Mathematical Biosciences and Engineering
publication date: 2019-02-01T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 7010936
zbMATH Keywords: stochastic logistic equation
zbMATH Keywords: stationary distribution
zbMATH Keywords: ergodic property
zbMATH Keywords: extinction
zbMATH Keywords: stochastic permanence
Wikidata QID: Q58125618
MaRDI profile type: Publication
full work available at URL: mbe.2018048
OpenAlex ID: W2803935153
cites work: Modeling and simulation for toxicity assessment
cites work: Stability in distribution for a class of singular diffusions
cites work: Q3446272
cites work: A Stochastic Differential Equation SIS Epidemic Model
cites work: Effects of toxicants on populations: a qualitative approach II. First order kinetics
cites work: Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
cites work: The survival analysis for a population in a polluted environment
cites work: Existence, uniqueness, stochastic persistence and global stability of positive solutions of the logistic equation with random perturbation
cites work: A note on nonautonomous logistic equation with random perturbation
cites work: Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
cites work: A single stage-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin
cites work: Q4004325
cites work: Statistical inference for ergodic diffusion processes.
cites work: Q5569338
cites work: Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle
cites work: Environmental Brownian noise suppresses explosions in population dynamics.
cites work: Asymptotic behaviour of the stochastic Lotka-Volterra model.
cites work: On a logistic growth model with predation and a power-type diffusion coefficient. I: Existence of solutions and extinction criteria
cites work: Q4260445
cites work: Persistence and extinction for a class of stochastic SIS epidemic models with nonlinear incidence rate
cites work: Psychological effect on single-species population models in a polluted environment
cites work: A stochastic single-species population model with partial pollution tolerance in a polluted environment
cites work: The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
cites work: Stochastic dynamics of SIRS epidemic models with random perturbation
DOI: 10.3934/MBE.2018048
description: scientific article; zbMATH DE number 7010936