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Once the PLL is in lock, what is the input (or VCO) frequency range for which it can keep itself locked is the lock range. When the PLL is initially not in lock, what frequency range can make the PLL lock is the capture range. Lock range is the parameter you should be interested in if you are looking for it's tracking behavior. But in CP PLLs, both the lock and capture ranges are the same.., limited only by the VCO's tuning range.
In modern PLLs capture range and lock range are the same. But by definition these are different and this relaxed usage in journals and books leads to these confusions.
Capture range and pull-in range are the same. Both refer to the ability of the system to acquire lock (from an unlocked state) to a frequency. Here the VCO is running at some arbitrary frequency and the disturbance required at the input to make it respond to the input disturbances thereafter is quantified as capture range.
While the VCO is responding to the input disturbance (in-lock), the amount of disturbance at the input that will cause the VCO to shun the input and run freely is quantified as lock range.
Always lock range is equal to or greater than the capture range.
Definitions from the web
Lock range is defined as the band of frequencies centered on the VCO's natural frequency over which a PLL can maintain frequency lock with an external input signal.
Capture range is defined as the band of frequencies centered around the VCO natural frequency where the PLL can initially establish or acquire frequency lock with an external input signal from an unlocked condition.
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