DB2 uses a deadlock detection algorithm that detects when two or more transactions are waiting for locks held by each other, and it resolves these deadlocks by rolling back one of the transactions involved. Deadlocks are detected by DB2 automatically. 

Optimizing the execution of Runstats and Reorg utilities in DB2 involves various strategies aimed at minimizing downtime and maximizing efficiency. These include scheduling these utilities during off-peak hours to reduce the impact on production systems, allocating adequate system resources for faster execution, utilizing utility options like SAMPLED or DELTA to reduce overhead, and parallelizing Reorg tasks across multiple CPUs to expedite the process. Implementing these strategies can significantly enhance the performance and reliability of DB2 databases. 

Triggers in DB2 are powerful tools used to enforce business rules, perform data validation, and maintain data consistency. They allow users to define actions that automatically execute when specified database events occur, such as INSERT, UPDATE, or DELETE operations. This ensures that data integrity is maintained by enforcing predefined rules and actions, such as checking constraints, cascading updates, or auditing changes. 

The key difference between a sensitive and an insensitive cursor in DB2 lies in how they react to changes made to the underlying data. A sensitive cursor reflects all changes made to the data, ensuring that any updates, inserts, or deletes performed by other transactions are visible to the cursor. On the other hand, an insensitive cursor does not reflect such changes and presents a consistent view of the data as it was when the cursor was opened. Sensitive cursors are useful in applications where real-time data updates are essential, while insensitive cursors may be preferred for performance reasons or when data consistency is not critical. 

The main role of an index in a database is to improve query performance by facilitating rapid data retrieval. An index is a data structure that contains keys derived from one or more columns of a table, allowing the database management system to locate specific rows efficiently. By reducing the number of disk accesses needed to fulfill queries, indexes speed up data retrieval operations and enhance overall system performance. 

The UPDATE statement in SQL is used to modify existing records in a table. It allows users to change the values of one or more columns in existing rows based on specified conditions. This statement is crucial for updating data in a database when there are changes or corrections needed in the existing records. 

SYSIBM.SNAPDB is a system table that provides a snapshot of database health, including information about locks, buffer pool usage, and other vital statistics. Querying this table can help DBAs monitor and maintain the health of their DB2 databases. 

An index in DB2 speeds up data retrieval operations by providing a faster access path to the rows in a table. It organizes the data in a structured way based on the indexed column(s), allowing the database engine to quickly locate and retrieve the required data, thereby enhancing query performance. This is particularly useful in scenarios where there are large volumes of data to be queried frequently. 

Using EXPLAIN to analyze the query execution plan helps the analyst understand how DB2 processes the query and identifies potential areas for optimization. This information allows for fine-tuning the SQL query to improve both accuracy and efficiency. 

IBM Data Studio offers integrated query optimization, real-time SQL performance monitoring, advanced visualization tools, and built-in support for other DBMSs. These capabilities differentiate it by providing a comprehensive environment for database development, administration, and performance tuning. For instance, the real-time monitoring feature allows developers to identify and optimize poorly performing queries, leading to enhanced database performance. The built-in support for other DBMSs enables users to work with multiple databases seamlessly, which is a unique advantage over other IDEs in the market.