[Webtoon] Trace by NastyCat
The story set in the contemporary South Korea. Some 30 years ago, unidentified creatures appeared out of nowhere and have attacked people. They have caused massive destruction wherever they go. The monsters are called "Trouble", and get the world have fallen into chaos. Along with the first appearance of the "Troubles", some number of humans were born with or acquired supernatural abilities. These mutants called "Trace" are the only ones who can fight off the "Trouble". The "Trace" are also considered freaks and generally shunned by the community because some of them misused the powers for their own interest.
The plot revolves around two main characters. Sah Gang-kwon, a high school student born as a "Trace" who attempts to hide his ability. The other is Kim Yun-Seong, who acquired his "Trace" abilities during his early 30s. Soon after the acquision, his wife and daughter were taken away from him for experimental purposes.
P.S. this was originally a webcomic that was then published.
The series first season ended.
The author stated that he will start season 2 some time in the near future.[baka update]