Dynamics for stochastic Fitzhugh–Nagumo systems with general multiplicative noise on thin domains
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7092
Abstract: This paper is devoted to studying the dynamics for stochastic Fitzhugh–Nagumo equations with general multiplicative noise on thin domains, where the noise is described by a general stochastic process instead of the usual Wiener process.… read more here.
Keywords: thin domains; general multiplicative; stochastic fitzhugh; multiplicative noise ... See more keywords
Dynamics of stochastic HTLV‐I infection model with nonlinear CTL immune response
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7674
Abstract: In this paper, the dynamics of stochastic human T‐cell leukemia virus type I (HTLV‐I) infection model with cytotoxic T lymphocyte (CTL) immune response is investigated. First, we show that the stochastic model exists as a… read more here.
Keywords: htlv infection; ctl immune; infection model; model ... See more keywords
Random Dynamics of Stochastic Reaction–Diffusion Systems with Additive Noise
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-015-9431-4
Abstract: For a typical autocatalytic stochastic reaction–diffusion system with additive noises, the multicomponent reversible Gray–Scott reaction–diffusion system on a two-dimensional bounded domain, the existence of a random attractor and its attracting regularity are proved through the… read more here.
Keywords: dynamics stochastic; reaction diffusion; reaction; random dynamics ... See more keywords
Visual Dynamics: Stochastic Future Generation via Layered Cross Convolutional Networks
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Pattern Analysis and Machine Intelligence"
DOI: 10.1109/tpami.2018.2854726
Abstract: We study the problem of synthesizing a number of likely future frames from a single input image. In contrast to traditional methods that have tackled this problem in a deterministic or non-parametric way, we propose… read more here.
Keywords: future frames; stochastic future; dynamics stochastic; cross convolutional ... See more keywords
Dynamics of a stochastic population model with Allee effects under regime switching
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02759-x
Abstract: A stochastic single-species model with Allee effects under regime switching is developed and detected in the present study. First, extinction and persistence of the model are dissected. Subsequently, sufficient criteria are offered to ensure that… read more here.
Keywords: allee effects; regime switching; dynamics stochastic; model allee ... See more keywords
Dynamics of some stochastic chemostat models with multiplicative noise
Sign Up to like & getrecommendations! Published in 2017 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2017092
Abstract: In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, we analyze the existence and uniqueness of solutions for these models, as well as the… read more here.
Keywords: chemostat models; dynamics stochastic; noise; models multiplicative ... See more keywords