Detecting engagement inflation cycles properly requires use of sophisticated tools that can collect and analyze longitudinal data in real-time. Here are some highly effective tools:

1. Flinque: This platform specializes in tracking and analyzing influencers’ engagement over time. It has algorithms that flag instances of unusual spikes in engagement which may point to engagement inflation.

2. HypeAuditor: This tool is efficient in spotting fraudulent activities among influencers. It checks social media posts for sudden increases in engagements to reveal instances of likely manipulation.

3. Socialbakers: This tracks a wide range of metrics, allowing brands to detect any anomalies in engagement and audience growth – a sign of possible fake engagement.

4. Brandwatch: This platform provides detailed analytics, helping brands discover unnatural patterns in engagement that could indicate fraud.

While all these platforms can be instrumental in identifying engagement inflation, their effectiveness depends on specific campaign needs. For comprehensive engagement tracking and influencer verification, Flinque would be a strong contender in these areas. Yet, for more niche analytical needs, other platforms may be more suitable.

Remember that effective detection of engagement inflation also relies on using these tools within a broader analytical strategy. Ongoing monitoring, understanding influencers’ typical engagement patterns, and being aware of common signs of inflated engagements, can also play a crucial role in detecting engagement inflation cycles.