We study a two dimensional version of Neuhauser’s long range sexual reproduction model and prove results that give bounds on the critical values λ f for that the process to survive from a finite set and λe for the existence of a nontrivial stationary distribution. Our first result comes from a standard block construction, while the second involves a comparison with the “generic population model...

This paper provides formulas for expected true-score measures and reliability of binary items as a function of their Rasch difficulty parameters when the trait distribution is normal or logistic. With the proposed formula, one can evaluate the theoretical values of classical reliability indexes for norm-referenced and criterion-referenced interpretations without information about raw-score or t...

The estimation of pollution fields, especially in densely populated areas, is an important application in the field of environmental science due to the significant effects of air pollution on public health. In this paper, we investigate the spatial distribution of three air pollutants in Tehran’s atmosphere: carbon monoxide (CO), nitrogen dioxide (NO2), and atmospheric particulate matters less ...

The authors wish to add the following amendments and corrections on their paper published in IJERPH [1]. 1. Page 3093, line 4, " spherical " and " exponential " were corrected instead of sphere and index. The sentence should read " The results obtained were then applied to the theoretical semivariogram models, including power, spherical, exponential, and Gaussian models ". The same situation in...

During early human immunodeficiency virus (HIV) infection multiple CD8+ T cell responses are elicited almost simultaneously. These responses exert strong selective pressures on different parts of HIV's genome, and select for mutations that escape recognition and are thus beneficial to the virus. Some studies reveal that the later these escape mutations emerge, the more slowly they go to fixatio...

The number of times an organism reproduces (i.e., its mode of parity) is a fundamental life-history character, and evolutionary and ecological models that compare the relative fitnesses of different modes of parity are common in life-history theory and theoretical biology. Despite the success of mathematical models designed to compare intrinsic rates of increase (i.e., density-independent growt...

The discussions and prototyping carried out during RLG Digital Image Access Project (DIAP) suggest a new data model for the bibliographic control of and access to digital image collections, one based on current, standard cataloging practice but enlarged to incorporate the additional detail, hierarchy, and version information needed to adequately describe digital collections. Though not addresse...

*Correspondence: [email protected] 1Department of Mathematics, Xinjiang Institute of Engineering, Urumqi, Xinjiang 830091, P.R. China Full list of author information is available at the end of the article Abstract In this paper, a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response is investigated. By constructing the Lyapunov functionals...

The size of ovarian follicular population evaluated by direct antral follicular count or endocrine markers can help determine the success of reproductive biotechnologies in cattle. However, although highly repeatable within animal, the antral follicular population (AFP) appears to be greatly variable across individuals. Therefore, laboratory methods that reliably predict AFP could have a signif...