By prescribing their code run behavior, we consider some subsets of Moran fractals. Fractal dimensions of these subsets are exactly obtained. Meanwhile, an interesting decomposition of Moran fractals is given.

We apply our general method of duality, introduced in [10], to models of population dynamics. The classical dualities between forward and ancestral processes can be viewed as a change of representation in the classical creation and annihilation operators, both for diffusions dual to coalescents of Kingman’s type, as well as for models with finite population size. Next, using SU(1, 1) raising an...

We prove that a Moran model converges in probability to Eigen's quasispecies model in the infinite population limit. We show further that the invariant probability measure of the Moran model converges to the unique stationary solution of Eigen's quasispecies model.

1. introduction drought is one of the most complex problems not only in the management of water resources, but also creates economic and social issues . but the problem definition, identification and prediction of unresolved. the occurrence of drought can be caused by several factors, mainly rooted in the general circulation of the atmosphere and space physics, and earth's energy balance is sou...

soil salinity is a limiting factor for plant growth and a serious cause of land degradation. field sampling and statistical analysis for estimating soil salinity is expensive and time consuming. estimating soil salinity by spatial statistical models and geographic information system (gis) is recommended, because it saves labor and time. this study was conducted to evaluate the performance of sp...