Results 11 to 20 of about 944,336 (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
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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
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On the Entropy Rate of a Random Walk on t-Designs [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, a random walk on t-designs are considered. We assign a weight to each block and walk randomly on the vertices with a probability proportional to the weight of blocks. This stochastic process is a Markov chain.
Reza Kahkeshani
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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
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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
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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
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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
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The morphing of fluid queues into Markov-modulated Brownian motion
Stochastic Systems, 2015 Ramaswami showed recently that standard Brownian motion arises as the limit of a family of Markov-modulated linear fluid processes.We pursue this analysis with a fluid approximation for Markov-modulated Brownian motion.
Guy Latouche, Giang T. Nguyen
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Analysis of a Class of Predation-Predation Model Dynamics with Random Perturbations
Mathematics, 2022 In this paper, we study a class of predation–prey biological models with random perturbation. Firstly, the existence and uniqueness of systematic solutions can be proven according to Lipschitz conditions, and then we prove that the systematic solution ...
Xuewen Tan +3 more
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Mathematics, 2022 In view of prey’s delayed fear due to predators, delayed predator gestation, and the significance of intra-specific competition between predators when their populations are sufficiently large, a prey–predator population model with a density-dependent ...
Yuanfu Shao, Weili Kong
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