You've over simplified the problem. Yes infinite resources would solve this. However, the cost is astronomical. You require not just the vaccine but the infrast

You've over simplified the problem. Yes infinite resources would solve this. However, the cost is astronomical. You require not just the vaccine but the infrastructure to support it in regions that are very far off this level of infrastructure. It will take generations of political stability in these nations to get there. That doesn't look likely anytime soon.