Sentence examples for models with fluctuations from inspiring English sources

Yuan et al. [26] and Yu et al. [27] both investigated epidemic models with fluctuations around the positive equilibrium, and they proved the locally stochastically asymptotic stability of the positive equilibrium.

Recently, Gray et al. in [11] investigate the stochastic SIS epidemic model with fluctuations around the transmission coefficient β.

By using Lyapunov functions, in [11] was shown the asymptotic behavior of a multigroup SIR epidemic model with fluctuations around parameter β.

For single species, Ludwig [12] studied models with random fluctuations and found that constant effort harvesting does worse than other harvesting strategies.

The PC factor scores for PC 1 were analysed using a mixed-model ANOVA with fluctuation regime (SYNC and ASYNC) as a fixed factor and egg mass as a random effect to identify how each treatment affected PC 1 (size).

For predation trials, survival time data were cube root transformed to satisfy assumptions of normality and homogeneity of variance, and analysed using a mixed-model ANOVA with fluctuation regime (SYNC and ASYNC) as a fixed factor, and egg mass and predator tank as random effects.

The experiment depicted in Fig. 6a and b corresponds to modeling in a model with random fluctuations and migration in a smooth background model.

This work analyzes the stability of the Yee scheme for non-stationary Maxwell's equations coupled with a linear current model with density fluctuations.

Due to a large amount of action principles and parameters involved, the calculation in modified model is complex, with fluctuations existing in the data.

The numerical approach used to solve the resulting FHD-Poisson equations is very efficient and models thermal fluctuations with remarkable accuracy.

Indeed, several studies invoked relatively simple kinetic models, in which initial racemates with fluctuations undergo reactions that lead to chiral purity, thus demonstrating the plausibility of symmetry breaking in a non-equilibrium regimen [ 5, 7- 9].