Although Samsung has improved its sales in the U.S., Apple's iPhone leads U.S. market share with 42% of the smartphones in the country made by Apple.

In the last quarter 2012, that same figure was 35 %; so Apple is seeing significant increase after the launch of the iPhone 5s, 5c - both targeted for China as a budget phone.

An NPD report said that LG was the only other firm to report an upswing trend, but it was too miniscule to consider. Samsung is tipped at 25%. During the same time last year, Samsung tagged at 22% market share.

Other firms like BlackBerry, HTC, Nokia and Windows Pane have not come up to par with Apple's iphone to a separate rank.

Apple's iPhone 5s was well received by U.S. consumers. A report by CIRP said that the iPhone 5S has the largest share in iPhone sales at 59% in the Q4 2013.

Yankee Group's Carl Howe has forecasted Apple will continue to make gains in the U.S. market, making headway over Android.

According to his Markov theory projection, Howe commented that iPhone has an impressive retention as a driving force in innovation.

Howe explained the Markov projection for Apple like this:

"Think of the Apple and Android ecosystems as two buckets of water. New smartphone buyers -- mostly upgrading feature phone owners -- fall like rain into the two big buckets about equally, with a smaller number falling into Windows Phone and BlackBerry buckets. However, the Android bucket leaks badly, losing about one in five of all the owners put into it. The Apple bucket leaks only about 7 percent of its contents, so it retains more of the customers that fall into it. The Apple bucket will fill up faster and higher than the Android one, regardless of the fact that the Apple bucket may have had fewer owners in it to begin with," Motley Fool reported.