Survival and ergodicity of a stochastic microorganism flocculation model with nonlinear response functionals

Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Physiological, cellular and medical topics (92C99) Monotone systems involving ordinary differential equations (34C12)

Cites Work

Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises
Effects of stochastic perturbation on the SIS epidemic system
Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
Dynamical behavior of a rumor transmission model with Holling-type II functional response in emergency event
Dynamical behavior of an epidemic model with a nonlinear incidence rate
Noise-induced stochastic transition: a stochastic chemostat model with two complementary nutrients and flocculation effect
General nonlinear stochastic systems motivated by chemostat models: complete characterization of long-time behavior, optimal controls, and applications to wastewater treatment
Permanence and extinction for the stochastic SIR epidemic model
Approximation of the Fokker-Planck equation of the stochastic chemostat
Classification of asymptotic behavior in a stochastic SEIR epidemic model
Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period
Conditions for permanence and ergodicity of certain SIR epidemic models
Exclusion and persistence in deterministic and stochastic chemostat models
Competitive exclusion in a general multi-species chemostat model with stochastic perturbations
A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function
Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
DYNAMICAL ANALYSIS OF A CONTINUOUS-CULTURE AND HARVEST CHEMOSTAT MODEL WITH IMPULSIVE EFFECT
On Strong Feller, Recurrence, and Weak Stabilization of Regime-Switching Diffusions
Stationary distribution and extinction for a food chain chemostat model with random perturbation
Stochastic dynamics of the delayed chemostat with Lévy noises
An Introduction to Mathematical Epidemiology