The phrase "vigorous struggle" is correct and can be used in written English.
For example, you could use it in a sentence such as "The young woman faced a vigorous struggle to achieve her dream."
The court previously heard Becky fought for life in a "vigorous" struggle in which she suffered more than 40 injuries and died from suffocation.
Supplies were scarce, and when they materialized — including at least one major shipment of vehicles and heavy weaponry from Qatar — there was a vigorous struggle among the men for their use.
The cardinal was, however, too old and feeble to wage a vigorous struggle against the war party, which had fallen under the control of Marshal Charles-Louis de Belle-Isle.
The Conservatives did eventually succeed in deregulating and de-unionising the media and culture industries, but not before several years of vigorous struggle: the 1970s left/liberal centre did not go down without a fight.
Supplies were scarce, and when they materialized including at least one major shipment of vehicles and heavy weaponry from Qatar there was a vigorous struggle among the men for their use.
Though Mannesmann put up a vigorous struggle, Vodafone's strategy, with its global focus, won out over the German's concentration on a pan-European approach based on the integration of fixed-line and wireless networks.
Through the vigorous struggles of these recent years, we've sold out our traditions — we must return to them".
After the first 2 min of the initial vigorous struggling, the animals were immobile.
In Rheumatobates rileyi, females resist to costly mating through vigorous struggles aiming at rejecting male mating attempts.
The forced swimming mice exposed to passive and immobile after a period of vigorous activity (struggling) to keep their heads above the water.
This method was adapted on the observation of animals exposed to a situation of forced swimming, in which they become passive and immobile after a period of vigorous activity (struggling), producing only the movements required to keep their heads above the water.
