The Czech sixth seed was playing in her second final after having lost on clay in Prague last year to Ágnes Szávay.
Zahlavova Strycova played the big points well defending nine of 11 break-point chances for Erakovic in the first two sets before dominating the third and wrapping up the title in one hour and 57 minutes.
The world number 75, ranked 10 places above her unseeded opponent, picks up a cheque of $37,000 for winning the event.
She said: "After the first set I changed my strategy. I could see she was very tired after the first set so I started putting more balls in the court and making her run. In the first set she was playing very good, but I could see she started to make more mistakes. It felt like she was breaking down.
"Once it got to the third set I was just in the zone. It felt like everything I hit was going in. I saw the ball so big. I just knew I was going to win the match.
"This week was just like a fairytale. I was very tired coming here. I played so many tournaments in the summer and didn't play well, so this just gives me so much confidence."