Correlated noise in a logistic growth model
نویسندگان
چکیده
منابع مشابه
Correlated noise in a logistic growth model.
The logistic differential equation is used to analyze cancer cell population, in the presence of a correlated Gaussian white noise. We study the steady state properties of tumor cell growth and discuss the effects of the correlated noise. It is found that the degree of correlation of the noise can cause tumor cell extinction.
متن کاملEffects of time-delay in stationary properties of a logistic growth model with correlated noises
A time-delayed tumor cell growth model with correlated noises is investigated. In the condition of small delay time, the stationary probability distribution is derived and the stationary mean value (〈x〉st ) and normalized variance λ2 of the tumor cell population and state transition rate (κ) between two steady states are numerically calculated. The results indicate that: (i) The delay time (τ )...
متن کاملNoise-induced transitions in a generalized logistic model with delay
The stochastic phenomena in the generalized randomly forced logistic model with delay is considered. The probabilistic mechanisms of the noise-induced transitions between coexisting attractors, and between separate parts of the unique attractor are studied. For the analysis of these phenomena, a new semi-analytical approach is suggested. Our method takes into account a geometry of the mutual ar...
متن کاملA new logistic model for bacterial growth.
A new logistic model for bacterial growth was developed in this study. The model is based on a logistic model, which is often applied for biological and ecological population kinetics. The new model is described by a differential equation and contains an additional term for suppression of the growth rate during the lag phase, compared with the original logistic equation. The new model successfu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2003
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.67.022903