IDW's Ghostbusters: Displaced Aggression storyline made Dan Aykroyd's original vision for Ghostbusters a reality. Before Erik Burnham and Dan Schoening's iconic Ghostbusters run, this story saw them facing the interdimensional warlord Koza'Rai, who also happened to be Gozer's father. After defeating the paranormal investigators, Koza'Rai did not kill them but instead stranded them in different time periods throughout history. When a young new recruit shows up in a time-traveling Ecto-1 to collect the guys in grey, their adventures battling supernatural entities through time take on more than a few similarities to Dan Aykroyd's original idea for the movie, which was rewritten and reimagined with other collaborators into the iconic franchise it is today.
In Ghostbusters: Displaced Aggression by Scott Lobell and Ilynias Kryiazis, Dr. Peter Venkman is acting as a one-man Ghostbuster in the Old West. After dispatching the latest poltergeist with his modified gear and Containment Unit, Peter explains to someone that he is from the future, a Ghostbuster separated from his teammates following a battle against a powerful demon. Koza'Rai was furious that his son Gozer had not only been destroyed but by mortal men and after defeating the Ghostbusters, he was not convinced death could permanently end the Ghostbusters threat. He instead flung them throughout time, Peter later theorizing that the influx of ghosts in his time period indicated Koza'Rai was slowly conquering time and space since any resistance wouldn't have the Ghostbusters technology to fight back with.
After facing a particularly nasty entity, Peter meets Rachel Unglighter, a former student of Egon Spengler and survivor of Koza'Rai's ongoing invasion. With the help of Winston Zeddemore, who remained in present-day New York, Rachel was able to modify the Eco-1, upgrade the proton packs and begin her mission of traveling through time to collect the Ghostbusters so they could have a rematch with Koza'Rai. After essentially making the Ecto-1 similar to Back to the Future's Delorean, Peter and Rachel finish up in the Old West and then travel to Medieval England to find Dr. Ray Stantz, into the far future to retrieve Dr. Egon Spengler and eventually reunite with Winston.
Although known more for his work with Marvel and DC, writer Scott Lobdell took inspiration for his story from Dan Aykroyd's original screenplay for Ghostbusters which would have starred him, his frequent co-star John Belushi, and other SNL-related comedians. Inspired by his family's history with the supernatural, Aykroyd had envisioned the Ghostbusters as an organization dedicated to protecting time and space from supernatural threats. It's no coincidence that the Ghostbusters' iconic headquarters is a firehouse as they were intended to be similar to firemen or exterminators with multiple teams scattered throughout the universe and history. Unfortunately, Akyroyd's vision was deemed to be too expensive by director Ivan Reitman and Harold Ramis was brought in to rewrite the script, their collaboration becoming something they'd be forever synonymous with.
Lobdell and Kryiazis use time travel as both a result of the antagonist's actions and also an excuse to put the Ghostbusters in a variety of different and fun situations, adapting Aykroyd's vision through a medium that isn't limited by budget, special effects, or other limits of the film industry. Although the stories were one of IDW's earliest forays into the world of Ghostbusters, characters like Koza'Rai and Rachel Unlighter have made cameos in future ongoing series, suggesting the story is canon within the Ghostbusters multiverse and that Dan Aykroyd's vision of franchises throughout time and space did, in some way come true.