# Accessibility indication from points

I will simplify my question to be better understood. Let's suppose my study area is consisted by settlements A and B. They both have the same population (1000 people each). Each settlement was converted to raster and then to point. Let's assume that each settlement has 100 points (each point corresponds to 10 people therefore a population field was added and filled up). The maximum radius of the walking distance is 3000 meters. Location 2 is accessible by many points from A and many from B (e.g. 100), location 1 is accessible by many from A and few from B (e.g. 60) and location 3 is accessible by none from A and many from B (e.g. 40). I want to show a raster output (visually similar to a density map) where each cell is assigned a value that corresponds to the number of points that can access it in a radius of 3000 meters.

In reality the shape of the settlements is complex and the population is different. The question is "accessibility" and I initially thought I wanted a "point density" output but I realized it doesn't show what I want. Are you aware of any tool that would help in this regard? 