introduction the consequence of cooperation between environmental factors and circulation patterns in a long time can determine the arrangement of type and manner in humidity in geographical area. the knowledge about space dispersion in geographical areas assists preparing sound programming and proper environmental decision making. relative humidity is the most commonly used measurements of moi...

We consider a multistage cancer model in which cells are arranged in a d-dimensional integer lattice. Starting with all wild-type cells, we prove results about the distribution of the first time when two neutral mutations have accumulated in some cell in dimensions d ≥ 2, extending work done by 1. Introduction. The accumulation of mutations is important not only for cancer initiation, progressi...

Population genetics models typically consider a fixed population size and a unique selection coefficient. However, population dynamics inherently generate noise in numbers of individuals and selection acts on various components of the individuals’ fitness. In plant species with seed banks, the size of both the aboveand below-ground compartments present noise depending on seed production and the...