A few thoughts on this issue
1) Search timeout
The search timeout specifies how long a slave device will look for the transmission of a master.
If you set the timeout to 0, on the AP1, this means your timeout is the lowest possible value - 2.5s. With such a short time, it is unlikely that your device will be able to acquire any of the sensors. The longest timeout you can achieve on the AP1 is ~ 10 minutes.
How often does your use case require to search?
2) Data loss during search
Searching will interfere with other active channels.
I notice that you are receiving at 1Hz, which means that missing a single packet might have a bigger effect on your application than receiving at a higher rate. Do you see any improvement receiving at a higher rate (2HZ or 4Hz?)
3) Message timing
>> Why Device will receive six package at 1 sec as below data log (message rate=1Hz)?
Where does that time stamp get generated?
While ANT will receive one message per second, the time at which these messages are processed by your application depends on your specific threading. From the log, it seems that messages queued up while your application was busy doing something else, and then got processed all at once. The event time and event count do change in these packets, so they clearly are different messages, generated at different times.
4) Data loss with single sensor.
Looking at your log, it looks that you have a gap between the second and fourth messages, and then you get a set of messages with the same timestamp. This could very well be related to (3), so you might not be missing any messages, and it just happens that they get processed at the same time. It is possible then that this issue is related to synchronization in your application.
Do you get any EVENT_RX_FAIL messages during the data loss periods? Any messages indicating you are dropping back to search or search timeout? If you do see very poor RF performance, further testing would need to be done. Nordic Semiconductor can provide further pointers on troubleshooting the RF for your device (and sensors, if custom design), with the casing and placement required for your use case.