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In Figure 2, we illustrate this result by comparing, for different ϵ = ϵ 1 = ϵ 2 (i.e., we choose μ = 1 in this example), the stochastic system and its averaged version.
Third, this model has many real applications, for example, in economic growth model it is different from the old delay Lotka-Volterra model which only palys a role in predator-prey system, for example, the stochastic R&D model [9, 10] is the best application of this model.
For example, the stochastic GRN dynamic system eventually attains a stationary distribution of attractor probabilities.
Within a single rotting fruit, for example, the stochastic nature of colonization by bacteria and fungi may lead to considerable variation.0 Within this tremendously varied environment, a female fly must assess possible oviposition sites so that she can decide where to invest her most valuable resource: her eggs.
For example, the stochastic fluctuations produced by a single cell are necessary to induce probabilistic differentiation from genetically identical cells [ 26- 28].
For example, the stochastic simulation of Villanueva et al. [ 10] showed that inbreeding rates increased by 17%% when there is variability between donors in embryo production compared to when embryo numbers are assumed fixed.
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Then we need to take the environmental noise into account, for example, consider the stochastic perturbation of the death rate of the predator and birth rate of the prey.
It may originate in the motion output of MT (due, for example, to the stochastic stimuli employed in these experiments) or to any additional stage of the pathways linking MT to LIP.
An example is the stochastic activation of the competence gene in B. subtilis, part of the organism's stress response.
For example, the simple stochastic model proposed in this work suggests that the number of confirmed cases in a given country follows a multiplicative process with exponential noise.
For example, the proposed stochastic 4- and 16-state models of V j -gating contained a sizable number (>10) of parameters and for their estimation global optimization (GO) algorithms were successfully used [ 5, 6].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com