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By Lemma 2.3, two thresholds (mathcal{R}_{1}) and (mathcal{R}_{2}) decide the persistence and extinction of the microorganisms that are related with the impulsive disturbance force, that is, the larger toxicant pulsed input u or the smaller period of pulsing τ can lead to the extinction of the microorganisms in the deterministic system (1) without white noise disturbance.
Denitrification is generally regulated by the availability of labile organic matter, and pulsed input of fresh POC would sometimes greatly stimulate denitrification [8, 10].
By using the global attractivity of a k times periodically pulsed input chemostat model, we obtain the bound of the system.
(A ) Comparison of cell-to-cell dynamic heterogeneity for different fractions of active cells for either constant or pulsed input.
u is the amount of pulsed input concentration of the toxicant at each T, and all the coefficients are positive.
However, the pulsed input power depends on the working gas and dimensions of the pulsed plasma jet electrodes.
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This chapter illustrates asynchronous finite state machine (FSMs) that are designed to operate with nonoverlapping pulsed inputs and that use data-triggered memory elements called pulse mode sequential machines.
In particular, we examine the effects of different steady and pulsed inputs to five variants of the bifan motif, based on evidence in the literature of bifan motifs found in Saccharomyces cerevisiae (commonly known as baker's yeast).
(A ) Simulated fractions of activated cells for pulsed inputs of TNF with various doses and durations.
(A ) The simulated fractions of activated cells for pulsed inputs of LPS with various doses and durations.
In [47], Meng et al. proposed a chemostat model with saturated growth rate and pulsed toxicant input.
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