Hi Enganga,
The common method is to create buffers for all the points (health care centers) to show how they cover the region. Somehow, it's not efficient to advanced health care service management.
Two basic information you need includes:
- Health care facilities, and
- Road network
- and (optional) DEM.
A simple method (but efficient) you can try is with following steps:
1. Create distance map from road network.
- Grid data from vector map of roads
- If you have DEM (free from JAXA), you can incorporate slope as obstacle feature with the distance map to make it irregular (more realistic).
2. Create distance map from health care points (based on its importance, you'll have different distance coverage from each point)
3. Overlay (or sum up) Point distance map with Road distance map.
4. Reclassify the result to display health care coverage.
From this simple example, you can add up more parameters to make it closed to realistic.
The best method is to run accessibility analysis with GIS to: Calculate accessibility index from any residential point to health care service within a certain distance and certain means of transport.
Can't tell you much about it here, perhaps you can find it from Internet, they're available.
Cheers.