Killing invasive bamboo can be a challenging task, as it often spreads quickly and is resilient to many types of control methods. However, there are several approaches that can be effective in controlling or eliminating an invasive bamboo population. Some methods include:

1. Cutting and removing the bamboo: One way to control invasive bamboo is to cut it down and remove as much of the root system as possible. This can be done manually with hand tools or with heavy equipment, depending on the size of the infestation.

2. Smothering the bamboo: Another method is to smother the bamboo with a thick layer of mulch or other organic material. This can help prevent the bamboo from getting the sunlight it needs to grow and may eventually kill it.

3. Applying herbicides: Certain herbicides can be effective in killing bamboo. However, this method can be risky and requires careful application to avoid harming other plants or wildlife in the area.

4. Repeated mowing: Mowing the bamboo regularly can help weaken it over time and eventually kill it.

It's important to note that controlling invasive bamboo can be a long and difficult process, and may require a combination of these methods over an extended period of time. Additionally, it's important to follow any local regulations or guidelines for controlling invasive plant species in your area.