Climacteric fruit is the one that shows:

Fruits like the apple, banana, mango, melon, and apricot that are connected with increased ethylene production and strong cellular respiration during ripening are known as climacteric fruits.  
Such fruits do not necessarily need to ripen on the tree, they might ripen after being harvested.
Their ripening process increases as ethylene production rises.
The process of dispersing seeds and fruits as a result of a natural physical explosion is known as autochory.
This method of seed self-dispersion helps the plant in the independent seed dispersal process.