We study phase-dependent fluctuations of the resonance fluorescence a single $\Lambda$-type three-level atom in regime near coherent population trapping, i.e., alongside two-photon detuning condition. To this end, we employ method conditional homodyne detection (CHD) which considers squeezing weak driving regime, and extends to non-Gaussian for saturating strong fields. In framework, using esti...

We empirically assess the relationship between population growth rate (lambda, a parameter central to ecology) and effective population size (N(e), a key parameter in evolutionary biology). Recent theoretical and numerical studies indicate that in semelparous species with variable age at maturity (such as Pacific salmon, many monocarpic plants, and various other species), differences in mean re...

1. Introduction. "The logistic difference equation x t + 1 = rXtO-xt) with r =3.7 produces erratic, chaotically fluctuating values of xt (Figure la). Contemplating this time-series, Solomon (979) asked, "How could the trajectory of this completely determined process ever be distinguished from the sample path of a stochastic one?" The implication is that there is no way to tell if fluctuations i...

FROM purely theoretical considerations Lotka (1920) and Volterra (1926) concluded that a biological system consisting of two interdependent species (predator and prey) will exhibit regular periodic fluctuations in respect to the absolute and relative abundance of each species, even when random fluctuations due to external environmental factors have been eliminated. So far as is known this concl...

We study spreading of a nonmotile bacteria colony on a hard agar plate by using agent-based and continuum models. We show that the spreading dynamics depends on the initial nutrient concentration, the motility, and the inherent demographic noise. Population fluctuations are inherent in an agent-based model, whereas for the continuum model we model them by using a stochastic Langevin equation. W...

Fluctuations in rodent population densities in North America are a reality. Our understanding of the factors causing such fluctuations is incomplete; therefore, it is important to monitor populations to increase our understanding of natural wildlife communities so as to avoid substantial damage to agriculture, forestry, and urban infrastructures, and to prevent rodent-borne disease transmission...