What should be the proper "style" of biblatex package for this type of bibliography?
"authoryear-ibid" style is producing similar, but not exactly the same result.
From a screenshot alone it is hard to implement a full bibliography and citation style, but I feel that asking for a full style is too much for one question here anyway. Since biblatex is quite easily configured and still fairly young, there are not that many ready-made styles available on CTAN (compared to BibTeX). If your style is not one of the big (APA, Chicago, IEEE, Nature, ...) styles for which an implementation exists already, you will have to start from a similar style and do the rest yourself. To that end it is much more useful for other users if you can isolate the important characteristics of your style and ask about each one separately. I'm quite confident that you can find answers to many of those questions already. A good start is always Guidelines for customizing biblatex styles.
Here is a start that addresses the most important aspects of the style as shown in the screenshot (as I see them). I used biblatex-ext's version of authoryear-ibid as basis, because it makes a few things easier (namely articlein as well as \jourvoldelim and \volnumdelim).
\documentclass[british]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{babel}
\usepackage{csquotes}
\usepackage[backend=biber,
style=ext-authoryear-ibid,
articlein=false,
giveninits=true, maxbibnames=6, minbibnames=6,]{biblatex}
\addbibresource{biblatex-examples.bib}
\DeclareNameAlias{sortname}{family-given}
\DeclareDelimFormat{finalnamedelim}{\addcomma\space\&\space}
\DeclareFieldFormat
[article,inbook,incollection,inproceedings,patent,thesis,unpublished]
{title}{#1\isdot}
\renewcommand*{\intitlepunct}{}
\renewcommand*{\jourvoldelim}{\addcomma\space}
\renewcommand*{\volnumdelim}{}
\DeclareFieldFormat[article,periodical]{volume}{\mkbibemph{#1}}
\DeclareFieldFormat[article,periodical]{number}{\mkbibparens{#1}}
\DeclareFieldFormat[article,periodical]{pages}{#1}
\begin{document}
\cite{sigfridsson,worman,aksin,nussbaum,geer}
\printbibliography
\end{document}
author-yearand then explain which parts of the formatting you want to change. It's likely that most of the changes have been covered by other questions on the site. – Alan Munn May 29 '19 at 16:21