Stationary distribution and extinction for a food chain chemostat model with random perturbation
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6809
Abstract: In this paper, we study the dynamical behavior of a stochastic food chain chemostat model, in which the white noise is proportional to the variables. Firstly, we prove the existence and uniqueness of the global… read more here.
Keywords: chemostat model; stationary distribution; food chain; chain chemostat ... See more keywords
Stationary Distribution of a Stochastic Process
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3817-x
Abstract: We find a stationary distribution of a stochastic process with delay at the origin. The trajectories of the process have linear growth and random jumps at random times. We use known results for regenerative processes… read more here.
Keywords: stochastic process; distribution stochastic; stationary distribution;
Periodic Solution and Ergodic Stationary Distribution of SEIS Dynamical Systems with Active and Latent Patients
Sign Up to like & getrecommendations! Published in 2018 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-018-0289-9
Abstract: This paper proposes two new stochastic non-autonomous SEIS epidemic dynamical models with latent and active patients. For the non-autonomous periodic system, we first obtain the sufficient conditions for the existence of nontrivial positive periodic solution… read more here.
Keywords: ergodic stationary; solution ergodic; stationary distribution; periodic solution ... See more keywords
Exponential convergence to a quasi-stationary distribution for birth–death processes with an entrance boundary at infinity
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2021.100
Abstract: Abstract We study the quasi-stationary behavior of the birth–death process with an entrance boundary at infinity. We give by the h-transform an alternative and simpler proof for the exponential convergence of conditioned distributions to a… read more here.
Keywords: stationary distribution; boundary infinity; entrance boundary; birth death ... See more keywords
Stationary distribution of a stochastic SIS epidemic model with double diseases and the Beddington-DeAngelis incidence.
Sign Up to like & getrecommendations! Published in 2017 at "Chaos"
DOI: 10.1063/1.4986838
Abstract: In this paper, a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with double diseases and the Beddington-DeAngelis incidence is proposed and studied. Sufficient conditions for the existence of an ergodic stationary distribution of the positive solutions to… read more here.
Keywords: sis epidemic; stationary distribution; model double; epidemic model ... See more keywords
Synchronized stationary distribution and synchronization for memristor-based complex networks via intermittent control
Sign Up to like & getrecommendations! Published in 2020 at "Applicable Analysis"
DOI: 10.1080/00036811.2020.1789593
Abstract: Synchronized stationary distribution and exponential synchronization analysis for stochastic memristor-based complex networks are investigated. It should be pointed out that aperiodically intermitt... read more here.
Keywords: based complex; memristor based; stationary distribution; synchronized stationary ... See more keywords
A General Formula for the Stationary Distribution of the Age of Information and Its Application to Single-Server Queues
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2019.2938171
Abstract: This paper considers the stationary distribution of the age of information (AoI) in information update systems. We first derive a general formula for the stationary distribution of the AoI, which holds for a wide class… read more here.
Keywords: stationary distribution; distribution age; service disciplines; information ... See more keywords
Asymptotic Behavior and Stationary Distribution of a Nonlinear Stochastic Epidemic Model with Relapse and Cure
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematics"
DOI: 10.1155/2020/4307083
Abstract: In this paper, by introducing environmental perturbation, we extend an epidemic model with graded cure, relapse, and nonlinear incidence rate from a deterministic framework to a stochastic differential one. The existence and uniqueness of positive… read more here.
Keywords: system; stationary distribution; epidemic model; relapse ... See more keywords
Ergodic Stationary Distribution of a Stochastic Hepatitis B Epidemic Model with Interval-Valued Parameters and Compensated Poisson Process
Sign Up to like & getrecommendations! Published in 2020 at "Computational and Mathematical Methods in Medicine"
DOI: 10.1155/2020/9676501
Abstract: Hepatitis B epidemic was and is still a rich subject that sparks the interest of epidemiological researchers. The dynamics of this epidemic is often modeled by a system with constant parameters. In reality, the parameters… read more here.
Keywords: hepatitis epidemic; stationary distribution; hepatitis; ergodic stationary ... See more keywords
Large-scale Analysis and Simulation of Traffic Flow using Markov Models
Sign Up to like & getrecommendations! Published in 2021 at "PloS one"
DOI: 10.1371/journal.pone.0246062
Abstract: Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps in understanding and handling traffic problems, optimizing traffic regulations and adapting the traffic… read more here.
Keywords: large scale; traffic; stationary distribution; analysis ... See more keywords
Threshold Analysis and Stationary Distribution of a Stochastic Model with Relapse and Temporary Immunity
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12030331
Abstract: In this paper, a stochastic model with relapse and temporary immunity is formulated. The main purpose of this model is to investigate the stochastic properties. For two incidence rate terms, we apply the ideas of… read more here.
Keywords: temporary immunity; stationary distribution; model relapse; model ... See more keywords