The paper deals with convergence of solutions of a class of stochastic differential equations driven by infinite-dimensional semimartingales. The infinite-dimensional semimartingales considered in the paper are Hilbert-space valued. The theorems presented generalize the convergence result obtained by Wong and Zakai for stochastic differential equations driven by linear interpolations of a finit...

BACKGROUND Mammographic breast density is a useful marker for breast cancer risk, as breast density is considered one of the strongest breast cancer risk factors. The study objective was to evaluate and compare mammographic breast density in infertile and parous women, as infertility may be associated with high breast density and cancer occurrence. METHODS This study evaluated mammographic br...

Emerging Infectious Diseases • www.cdc.gov/eid • Vol. 12, No. 4, April 2006 705 7. Piyasirisilp S, McCutchan FE, Carr JK, Anders-Buell E, Liu W, Chen J, et al. A recent outbreak of human immunodeficiency virus type 1 infection in southern China was initiated by two highly homogeneous geographically separated strains, circulating recombinant form AE and a novel BC recombinant. J Virol. 2000;74:1...

We prove that stochastic replicator dynamics can be interpreted as intrinsic Brownian motion on the simplex equipped with Aitchison geometry. As an immediate consequence, we derive three approximation results in spirit of Wong–Zakai approximation, Donsker’s invariance principle and a JKO-scheme. Using Fokker–Planck equation Wasserstein-contraction estimates, also study long time behavior equati...

In this paper, we consider a new type of Proinov contraction on the setting symmetrical abstract structure, more precisely, metric space. Our goal is to expand some results from literature using admissible mappings and concept E-contraction. The considered examples indicate validity obtained results.

Seth L. Blumerman 1 , and E. Fidelma Boyd 1* 10 11 Department of Biological Sciences, University of Delaware, Newark, DE 19711 1 , U.S. 12 Department of Agriculture, Agricultural Research Service, Delaware State University, Dover, 13 DE 19901 2 14 15 16 17 Corresponding author E. Fidelma Boyd – [email protected] 18 Department of Biological Sciences, 341 Wolf Hall, University of Delaware 19 Newark,...