Results 11 to 20 of about 947,634 (291)
Stationary distributions of persistent ecological systems [PDF]
Journal of Mathematical Biology, 2021 We analyze ecological systems that are influenced by random environmental fluctuations. We first provide general conditions which ensure that the species coexist and the system converges to a unique invariant probability measure (stationary distribution). Since it is usually impossible to characterize this invariant probability measure analytically, we
Hening, Alexandru, Li, Yao
openaire +3 more sources
Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions
Mathematical Biosciences and Engineering, 2023 The Togashi Kaneko model (TK model) is a simple stochastic reaction network that displays discreteness-induced transitions between meta-stable patterns. Here we study a constrained Langevin approximation (CLA) of this model.
Wai-Tong (Louis) Fan +2 more
doaj +1 more source
Threshold Analysis of a Stochastic SIRS Epidemic Model with Logistic Birth and Nonlinear Incidence
Mathematics, 2023 The paper mainly investigates a stochastic SIRS epidemic model with Logistic birth and nonlinear incidence. We obtain a new threshold value (R0m) through the Stratonovich stochastic differential equation, different from the usual basic reproduction ...
Huyi Wang +3 more
doaj +1 more source
Parametric continuity of stationary distributions [PDF]
Economic Theory, 2006 This paper develops a mathematical model for a Markovian for a stationary distribution. The set up and mapping of the model has been developed with theorems and illustrations. Necessary and sufficient conditions are derived for the solution scheme and upper and lower bounds are defined for the existence and uniqueness of the model.
Le Van, Cuong, Stachurski, John
openaire +5 more sources
Fractal and Fractional, 2023 In this article, we analyze a second-order stochastic SEIR epidemic model with latent infectious and susceptible populations isolated at home. Firstly, by putting forward a novel inequality, we provide a criterion for the presence of an ergodic ...
Chun Lu, Honghui Liu, Junhua Zhou
doaj +1 more source
Minimal quasi-stationary distribution approximation for a birth and death process [PDF]
, 2014 In a first part, we prove a Lyapunov-type criterion for the $\xi\_1$-positive recurrence of absorbed birth and death processes and provide new results on the domain of attraction of the minimal quasi-stationary distribution.
Villemonais, Denis
core +8 more sources
Mathematical Biosciences and Engineering, 2022 Coronavirus disease (COVID-19) has a strong influence on the global public health and economics since the outbreak in 2020. In this paper, we study a stochastic high-dimensional COVID-19 epidemic model which considers asymptomatic and isolated infected ...
Jiying Ma, Wei Lin
doaj +1 more source
The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps
Abstract and Applied Analysis, 2014 Dynamics of Lotka-Volterra population with jumps (LVWJ) have recently been established (see Bao et al., 2011, and Bao and Yuan, 2012). They provided some useful criteria on the existence of stationary distribution and some asymptotic properties for LVWJ.
Zhenzhong Zhang +2 more
doaj +1 more source
Networks and Heterogeneous Media, 2013 Assume that a stochastic process can be approximated, when some scale parameter gets large, by a fluid limit (also called 'mean field limit', or 'hydrodynamic limit').
Jean-Yves Le Boudec
doaj +1 more source
Cached Files Updating Revisited: The Distribution of Popularity-Weighted Average File Age
IEEE Access, 2020 Low-latency information transmission is required in 5G communication networks, where the cache is commonly used to speed up the data access. Meanwhile, a large number of IoT applications need real-time information exchange, resulting in the information ...
Jixiang Zhang
doaj +1 more source