In this article, we study population dynamics of a simple two-patch SI model with three features: i) strong Allee effects built in the net reproduction rates; ii) the disease-modified fitness such as the reproduction ability and the competitive ability in different population levels; and iii) dispersal whose rate is proportional to the difference of population between two patches. We derive suf...

Natural mortality is an important determinant of the population dynamics of a species, and an understanding of mortality forces should aid in the development of better management strategies for insect pests. An in situ, observational method was used to construct cohort-based life tables for Bemisia tabaci (Gennadius) Biotype B (Homoptera: Aleyrodidae) over 14 generations on cotton in central Ar...

Change in the size of populations over space and time is, arguably, the motivation for much of pure and applied ecological research. The fundamental model for the dynamics of any population is straightforward: the net change in the abundance is the simple difference between the number of individuals entering the population and the number leaving the population, either or both of which may chang...

We offer a new form for the Snl term in the Hasselmann kinetic equation for squared wave amplitudes of wind-driven gravity wave. This form of Snl makes possible to rewrite in differential form the conservation laws for energy, momentum, and wave action, and introduce their fluxes by a natural way. We show that the stationary kinetic equation has a family of exact Kolmogorov-type solutions gover...

Both source-sink theory and extensions of optimal foraging theory ("balanced dispersal" theory) address dispersal and population dynamics in landscapes where habitat patches vary in quality. However, studying dispersal mechanisms empirically has proven difficult, and dispersal is rarely tied back to long-term spatial dynamics. We used a manipulable laboratory system consisting of bacteria and p...

Switching dynamics of nanoscale ferroelectric capacitors with a radius of 35 nm were investigated using piezoresponse force microscopy. Polarization switching starts with only one nucleation event occurring only at the predetermined places. The switching dynamics of nanoscale capacitors did not follow the classical Kolmogorov-Avrami-Ishibashi model. On the basis of the consideration of two sepa...

Let C(Rn) denote the set of real valued continuous functions defined on Rn. We prove that for every n≥2 there are positive numbers λ1,…,λn and ϕ1,…,ϕm∈C(R) with following property: bounded f∈C(Rn) is a function g∈C(R) such f(x)=∑q=1mg∑p=1nλpϕq(xp) x=(x1,…,xn)∈Rn. Consequently, can be obtained from one variable using compositions additions.