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In this section, we provide two examples for stochastic fourth-order parabolic equations with Markovian switching as applications of our main results.
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The notion is applied to economic and ecological examples and generalised for stochastic sets.
Some additional examples of stochastic processes follow.
Examples of Stochastic Figure-Ground stimuli.
In this section, we illustrate ABC SMC for model selection on a simple example of stochastic reaction kinetics.
Many authors have introduced some more appropriate definitions of permanence for stochastic population model, for example, stochastic persistence in probability (see Refs. [17, 18]) or a new definition of stochastic permanence (see Ref. [19]).
For example stochastic variation of DNA methylation across cell divisions may account for the observed variation of DNA methylation due to aging and across tissues, particularly for some short intragenic CGIs.
For example, stochastic memoryless modes ignores temporal correlation of the data, but suitable for low complexity single PU sparse channel usage scenarios.
For example, stochastic persistence in probability (see [25, 26]) or a new definition of stochastic permanence (see [27]).
Some nice and interesting properties, for example, stochastic boundedness, extinction, stochastic permanence, positive recurrent, invariant distribution, have been obtained (see, e.g., [6 20]).
A formal semantics can then be defined as mapping of chemical solutions and reactions to, for example, stochastic processes or ODEs [ 11, 15].
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