2017
DOI: 10.1155/2017/1295089
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Global Dynamics of Rational Difference Equations xn+1=xn+x

Abstract: Global dynamics of a system of nonlinear difference equations was investigated, which had five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria along the coordinate axes. The local stability of these equilibria was analyzed which led to nine regions in the parameters space. The solution of the system converged to the equilibria or the boundary point (+∞, 0) or (0, +∞) in each region depending on nonnegative initial conditions. These results completely described the beha… Show more

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Cited by 2 publications
(4 citation statements)
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“…Class 1 and Class 2.1 metabolites are further oxidized or conjugated to hydroxylated PCB 11 sulfate (Class 2.2) and glucuronide metabolites (Class 2.3), respectively. Hydroxylated PCB sulfates have been detected in rats [85][86][87] and polar bears, 30 whereas no hydroxylated PCB 11 glucuronides have been reported to-date. There is also evidence that these metabolites are formed in mice; however, it is unknown if these metabolites were PCB sulfates or glucuronides.…”
Section: Proposed Metabolic Pathways Of Pcb 11 In Hepg2 Cellsmentioning
confidence: 99%
See 1 more Smart Citation
“…Class 1 and Class 2.1 metabolites are further oxidized or conjugated to hydroxylated PCB 11 sulfate (Class 2.2) and glucuronide metabolites (Class 2.3), respectively. Hydroxylated PCB sulfates have been detected in rats [85][86][87] and polar bears, 30 whereas no hydroxylated PCB 11 glucuronides have been reported to-date. There is also evidence that these metabolites are formed in mice; however, it is unknown if these metabolites were PCB sulfates or glucuronides.…”
Section: Proposed Metabolic Pathways Of Pcb 11 In Hepg2 Cellsmentioning
confidence: 99%
“…[25][26][27] Moreover, 4-OH-PCB 11 is likely a substrate for UDPglucuronosyltransferases (UGTs) and, as with other hydroxylated PCBs, 28,29 likely metabolized to a glucuronide in vivo. As suggested from observations with polar bears, 30 hydroxylated, sulfated and glucuronidated PCB 11 metabolites may be further oxidized to diverse di-and tri-hydroxylated metabolites.…”
Section: Introductionmentioning
confidence: 96%
“…11 As a passive sampling device, silicone wristbands non-selectively sequester bioavailable volatile and semi-volatile organic compounds via diffusion, similar to a phospholipid membrane. 11 The bioavailable fraction is significant for inhalation and dermal exposure routes in humans, [12][13][14][15] and these exposure routes can significantly increase the risk of adverse health outcomes. [13][14] Silicone wristbands have been used to assess exposure for VOCs in asphalt workers, 11 flame retardants for preschool age children, 12 pesticides for farm workers in Africa, and pesticides for people living in both agricultural and urban communities in Peru.…”
Section: Introductionmentioning
confidence: 99%
“…11 The bioavailable fraction is significant for inhalation and dermal exposure routes in humans, [12][13][14][15] and these exposure routes can significantly increase the risk of adverse health outcomes. [13][14] Silicone wristbands have been used to assess exposure for VOCs in asphalt workers, 11 flame retardants for preschool age children, 12 pesticides for farm workers in Africa, and pesticides for people living in both agricultural and urban communities in Peru. Because silicone wristbands provide the capacity to measure personal exposures to pesticides both at home and away, they present an opportunity to examine predictors and correlates of exposure.…”
Section: Introductionmentioning
confidence: 99%