The desired output looks very much like APA style for an @article. The subject matter makes that not less likely.
For biblatex (which you use according to your comments) APA style is implemented by biblatex-apa's style=apa.
\documentclass[british]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{babel}
\usepackage{csquotes}
\usepackage[style=apa, backend=biber]{biblatex}
\usepackage{filecontents}
\begin{filecontents}{\jobname.bib}
@article{jackson,
author = {Jackson, A.},
title = {New Approaches to Drug Therapy},
journal = {Psychology Today and Tomorrow},
volume = {27},
number = {1},
pages = {54-59},
date = {2007},
}
\end{filecontents}
\addbibresource{\jobname.bib}
\addbibresource{biblatex-examples.bib}
\begin{document}
\cite{sigfridsson,jackson}
\printbibliography
\end{document}

In case you don't need APA style, but only something that looks remotely like APA style, you may want to check out one of the standard styles (style=authoryear for example) and modify it according to your needs. See Guidelines for customizing biblatex styles for a first idea how that could work. Note that biblatex-apa is not necessarily a good base to build a style as it has to work really hard to implement all the requirements of the APA and therefore becomes less flexible and customisable.
biblatex/biber. – Mico Jan 08 '19 at 12:54biblatex-apa'sstyle=apa. But I'm guessing here. – moewe Jan 08 '19 at 13:04