Wallace, thanks for the link. I did know about the supernova redshift measurements, but not to the details given in the paper.
I am an engineer, not an astrophysist, so I am not familar with all the terminology contained within some of the references I find. In my model the repulsive dark energy force (I dislike this term) is much smaller in a young universe than the attractive gravitational force. With increasing time/distance, the dark repulsive force decreases at a slower rate than the attractive gravitational force. There is a crossing point where the repulsive force is equal to the gravitational attraction after which the accelerating force is greater than the garvitation attraction. Neither force is linear, nor is the resultant net force. As the universe becomes larger the accelerating force will decrease, but never to the point of zero acceleration.
What I have is correlation between gravitational attraction and this dark energy repulsive force relative to distance. A graph of this would look like two decreasing intersecting curves with force on the y-axis and distance on the x axis. The net resultant force would be negative(ie attractive) at time sightly > zero, grow to a posive repulsive force and then decrease to a ever decreasing but always positive repulsive force as the universe becomes bigger.