We study a reaction-diffusion model in a binary environment made of habitat and non-habitat regions. Environmental heterogeneity is expressed through the species intrinsic growth rate coefficient. It was known that, for a fixed habitat abundance, species survival depends on habitat arrangements. Our goal is to describe the spatial configurations of habitat that maximise the chances of survival....

We study a reaction-diffusion model in a binary environment made of habitat and non-habitat regions. Environmental heterogeneity is expressed through the species intrinsic growth rate coefficient. It was known that, for a fixed habitat abundance, species survival depends on habitat arrangements. Our goal is to describe the spatial configurations of habitat that maximise the chances of survival....

We report here new electrical laws, derived from nonlinear electro-diffusion theory, about the effect of the local geometrical structure, such as curvature, on the electrical properties of a cell. We adopt the Poisson-Nernst-Planck (PNP) equations for charge concentration and electric potential as a model of electro-diffusion. In the case at hand, the entire boundary is impermeable to ions and ...

We investigate a model for contact angle motion of quasi-static capillary drops resting on a horizontal plane. We prove global in time existence and long time behavior (convergence to equilibrium) in a class of star-shaped initial data for which we show that topological changes of drops can be ruled out for all times. Our result applies to any drop which is initially star-shaped with respect to...

Background. A field study conducted by researchers found the balls used by visual impairment students at school basically used the sound by a small bell inside the ball. However, the sound emitted from the ball is very limited, the ball will sound when it is moved. This makes it difficult for students with visual impairments to find a missing ball that not emitted makes a sound. Objectives. A ...

hybridization is normally prevented by different flowering times in the two species, but under certain climatic/weather conditions hybridization may occur (Dorman and Barber 1956), and natural hybrids of shortleaf pine and loblolly pine have been reported (Zobel 1953, Hare and Switzer 1969, Edwards-Burke et al. 1997 and Stewart et al. 2010). The questions are where, when, and why do they hybrid...

We compute holographic complexity for the nonsupersymmetric Janus deformation of ${\mathrm{AdS}}_{5}$ according to volume conjecture. The result is characterized by a power-law ultraviolet divergence. When ball-shaped region located around interface considered, subleading logarithmic divergent term and finite part appear in corresponding subregion complexity. Using two different prescriptions r...

Simple oil-in-water emulsion led to structural complexity at both the surface and interior of the PLGA microsphere. A golf ball-like dimpled surface comes from the heteroaggregation of volatile nonsolvent colloid originating from the inside of the organic droplet as supported by in situ optical microscopy. The internal porous structure and encapsulation of hydrophobic agent inside the micropart...

One-pot reaction of AgSBu(t) and AgOAc in the methanol-ethanol-DMF solvent system under room temperature gave a ball-shaped Ag56 cluster and a disc-like Ag20 cluster. The formations of clusters and are templated by an in situ generated S(2-) ion from the cleavage of the S-C bond of SBu(t) and CO3(2-) ion from the fixation of atmospheric carbon dioxide, respectively. Interestingly, cluster 1 onl...

Dendroctonus frontalis Zimmerman is a major disturbance agent in American pine forests, but attack preferences for various host species, and their relative suitability for reproduction, are poorly known. We studied patterns of beetle attack and reproduction during an infestation of stands containing Virginia pine and loblolly pine. Nearly all Virginia pine were attacked and killed, whereas a th...