Results 1 to 10 of about 652,852 (288)
Journal of Mathematics, 2021 Considering the environmental effects, a Holling–Leslie predator-prey system with impulsive and stochastic disturbance is proposed in this paper. Firstly, we prove that existence of periodic solution, the mean time boundness of variables is found by ...
Jinxing Zhao, Yuanfu Shao
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Permanence and extinction in a stochastic service–resource mutualism model
Applied Mathematics Letters, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meng Liu
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Robust permanence and impermanence for stochastic replicator dynamics
Journal of Biological Dynamics, 2008 Garay and Hofbauer (SIAM J. Math. Anal. 34 (2003)) proposed sufficient conditions for robust permanence and impermanence of the deterministic replicator dynamics. We reconsider these conditions in the context of the stochastic replicator dynamics, which is obtained from its deterministic analogue by introducing Brownian perturbations of payoffs.
Michel Benaïm +2 more
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Permanence and extinction for the stochastic SIR epidemic model [PDF]
Journal of Differential Equations, 2020 The aim of this paper is to study the stochastic SIR equation with general incidence functional responses and in which both natural death rates and the incidence rate are perturbed by white noises. We derive a sufficient and almost necessary condition for the extinction and permanence for an epidemic system with multi noises \begin{equation*} \begin ...
Du, N. H., Nhu, N. N.
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Long-time behavior of a nonautonomous stochastic predator–prey model with jumps
Modern Stochastics: Theory and Applications, 2021 The existence and uniqueness of a global positive solution is proven for the system of stochastic differential equations describing a nonautonomous stochastic predator–prey model with a modified version of the Leslie–Gower term and Holling-type II ...
Olga Borysenko, Oleksandr Borysenko
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Stochastic Permanent Breaks [PDF]
Review of Economics and Statistics, 1999 This paper bridges the gap between processes where shocks are permanent and those with transitory shocks by formulating a process in which the long-run impact of each innovation is time-varying and stochastic. In the stochastic permanent breaks (STOPBREAK) process, frequent transitory shocks are supplemented by occasional permanent shifts.
Engle, Robert F, Smith, Aaron
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Stochastic two-species mutualism model with jumps
Modern Stochastics: Theory and Applications, 2020 The existence and uniqueness are proved for the global positive solution to the system of stochastic differential equations describing a two-species mutualism model disturbed by the white noise, the centered and non-centered Poisson noises.
Olga Borysenko, Oleksandr Borysenko
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Journal of Mathematics, 2021 Considering the impacts of white noise, Holling-type II functional response, and regime switching, we formulate a stochastic predator-prey model in this paper.
Weili Kong, Yuanfu Shao
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Permanents of doubly stochastic trees
Linear Algebra and its Applications, 2003 The minimum permanent of matrices \(\mu(T)\) in doubly stochastic matrices of order \(n\) is studied. It is found that \[ \mu_{\min} (n)\leq 1/2^{n-1} \text{ and }\mu_{\max}(n) \geq(n-2)^{n-2}/(n-1)^{n-1}, \] respectively.
Ahmadi, Mohammad H. +2 more
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Advances in Difference Equations, 2017 In this paper, a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis is proposed and analysed. We explain the effects of stochastic disturbance on disease transmission.
Anqi Miao +4 more
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