Fruit which show either a rise in respiration rate or an associated production of ethylene during the ripening process are called

A fruit that shows either a rise in respiration rate or an associated production of ethylene during the ripening process is called Non-Climacteric.
Fruit ripening is a highly coordinated developmental process that coincides with seed maturation. The ripening process is regulated by thousands of genes that control progressive softening and/or lignification of pericarp layers, accumulation of sugars, acids, pigments and release of volatiles.
Non-climacteric fruits include strawberry, grape, raspberry, cherry, citrus, etc. Non-climacteric fruits are characterized by ripening transitions that do not strictly depend on a significant increase in ethylene production and an associated rise in respiration rate.