The global attractivity of the positive steady state is established for a class of nonmonotone time-delayed reaction-diffusion equations subject to the Neumann boundary condition via a fluctuation method. This result is also applied to three population models.

We introduce an effective Lagrangian which describes the classical and semi-classical dynamics of spherically symmetric, self-gravitating objects that may populate the Universe at large and small (Planck) scale. These include worm-holes, black holes and inflationary bubbles. We speculate that such objects represent some possible modes of fluctuation in the primordial spacetime foam out of which...

INTRODUCTION A variety of cardiovascular diseases have been demonstrated to have seasonal variations with peaks in the winter and troughs in the summer. Studies regarding atrial fibrillation (AF) have had varying results and this review describes the current data regarding the seasonal variation of AF and mechanisms mediating this seasonal fluctuation. METHODS A systematic review was conducte...

A two-year study was conducted of phlebotomine sand fly fauna in a defined focus of Leishmania tropica. A total of 17,947 sand flies representing 10 species were collected from the location. Phlebotomus guggisbergi, a vector of L. tropica in Kenya, was the most prevalent species through the entire period, representing about 80% of the total catch. There was marked seasonal fluctuation in the po...

A statistical significance test to detect seasonality of epidemiological events is described. The method is similar to that of Edwards, but makes it possible to allow for an arbitrary pattern of variation in the population risk, and also for the unequal lengths of time sectors of a cycyle of seasons (e.g., months of a year). From the test it is possible to estimate the amplitude of seasonal var...

Population fluctuation monitoring of wheat thrips Haplothrips tritici (Kurdjumov, 1912) (Thysanoptera: Phlaeothripidae) was evaluated on the Tosunbey (wheat) and Tarım92 (barley) cultivars by weekly samplings from plant emergence to harvest season in 2016 2017 Isparta (Center). Adult nymphal stages individuals were collected using direct sampling shake-out methods. In method, cut above-ground p...

Lorentzian distributions have been largely employed in statistical mechanics to obtain exact results for heterogeneous systems. Analytic continuation of these is impossible even slightly deformed due the divergence all moments (cumulants). We solved this problem by introducing a ``pseudocumulants'' expansion. This allows us develop reduction methodology spiking neural networks subject extrinsic...