In this paper, we established a mathematical model of an SI1I2R epidemic disease with saturated incidence and general recovery functions of the first disease I1. Considering the basic reproduction number, we obtained conditions for both disease-free and co-existing cases. The equilibrium points local stability is verified by using the Routh-Hurwitz criterion, while for the global stability, we used a suitable Lyapunov function to analyze the endemic spread of the positive equilibrium point. Moreover, we carried out the local bifurcation around both equilibrium points (disease-free and co-existing), where we obtained that the disease-free equilibrium point undergoes a transcritical bifurcation. We conduct numerical simulations that suppo

New complexes of the [M(Ura)(Phen)(OH2)Cl2]Cl.2H2O type, where (Ura) uracil ; (Phen) 1,10-phenanthroline hydrate; M (Cr+3 , Fe+3 and La+3) were synthesized from mix ligand and characterized . These complexes have been characterized by the elemental micro analysis, spectral (FT-IR., UV-Vis, 1HNMR, 13CNMR and Mass) and magnetic susceptibility as well the molar conductive mensuration. Cr+3, Fe+3 and La+3- complexes of six–coordinated were proposed for the insulated for three metal(III) complexes for molecular formulas following into uracil property and 1,10-phenanthroline hydrate present . The proposed molecular structure for all metal (III) complexes is octahedral geometries .The biological activity was tested of metal(III) salts, ligands

Discrete   logarithms  are applied      in many    cryptographic problems  . For instance ,   in public   key .  and for construction of sets with disti nct sums of  k-clcments.  The   purpose o r  this   paper

is  to  modify  the  method ol' informationl1·iding  using        discrete logarithms  , introduce new properties of St - sets ,   uscdthe direct product   of    groups   to construct  cyclic group and finally, present modified   method   for   knapsack &

To determine the important pathogenic role of celiac disease in triggering several
autoimmune disease, thirty patients with Multiple Sclerosis of ages (22-55) years
have been investigated and compared with 25 healthy individuals. All the studied
groups were carried out to measure anti-tissue transglutaminase antibodies IgA IgG
by ELISA test, anti-reticulin antibodies IgA and IgG, and anti-endomysial
antibodies IgA and IgG by IFAT. There was a significant elevation in the
concentration of anti-tissue transglutaminase antibodies IgA and IgG compared to
control groups (P≤0.05), there was 4(13.33%) positive results for anti-reticulin
antibodies IgA and IgG , 3(10%) positive results for anti-endomysial antibodies

     Thyroid carcinoma incidence is increasing yearly and ranks second among the top ten cancers in Iraq, especially among women. The single nucleotide polymorphism (rs965513, A>C) near FOXE1 gene was found to be associated with papillary thyroid carcinoma risk in several Genome-wide association studies. Therefore, this is a case-control study aimed at identifying whether this variation is associated with the risk of papillary thyroid carcinoma in the Iraqi population. Association of rs965513 was investigated in one hundred and one papillary thyroid carcinoma Iraqi patients and one hundred and two controls using quantitative PCR-high resolution melting technique. The results of genotype and allele frequencies showe

Charge-transfer (CT) complexes of adenine (Ade.), guanine (Gua.), xanthine (Xan.), and inosine (Ino.) as electron donors with 2,3-dichloro-5,6-dicyano-1,4-benzoquinone (DDQ), 2,3,5,6-tetrabromo-1,4-benzoquinone (Bromanil)(BA) as π – electron acceptors and iodine (Iod.) as σ – electron acceptor were studied and their electronic spectra recorded .In each case one (CT) band was observed and recorded. These spectroscopic investigations made in ethanol solvent at (20°C) temperature. The values of equilibrium constant (KCT), change in standard free energy (ΔG°), molar extinction coefficient (εCT(, absorption band energy (hνCT) of CT complexes and the association energy of the CT complexes-excited state (W) were calculated and studie