Is it healthy to occasionally not have communication with each other for a day or two in a relationship?

My boyfriend and I have a great relationship, when we are together. I see him every weekend, and occasionally in the week. However, when we are not together our communication is very limited. He seems to sometimes go for a day or two without texting me or chatting to me online, is this healthy? At the beginning of the relationship we would frequently text throughout the day and that seems to have stopped. We have been together for five months. I do acknowledge that he is hard working and has a stressful job, and also has hobbies which he is very committed to. I am just concerned about whether this is something that is healthy in a relationship. When we are together, he is very loving and intimate with me, and helpful and generous. We go out most weekends and do activities together. I know it is important to give men their space, but I am having trouble understanding why he is so excited when he is with me, but when we are apart the communicating just stops.

I do not want to be the one always texting him, so I have started from the beginning of the relationship by rarely texting him first. Neither of us like speaking on the phone much. I am not a clingy girlfriend, or at least I am making all the efforts to make sure he does have enough down time. Even so, I really expected that this would lead to him wanting to communicate with me more when we are not together. If anyone could give me some insight, it would be greatly appreciated.