Lacking more context, what I can say is that "like this" would mean "é assim/ser assim/dessa forma/desse jeito".
Sometimes pointing out the thing or making a reference to something that has just been said:
We have a strong market position and it is vital for Sapa to uphold good customer relations, especially in a time like this.
(meaning "especialmente num tempo como esse/num tempo desses.)
In this case the writer means the comtemporary times, it would be equivalent to "especially in these times" etc...
Other case would be, for example, someone teaching somebody else new skills, "you should do like this" (faça assim !)