How much a neighbor's problem actually matters
Rodents don't recognize property lines, and their range is genuinely large enough to matter — a widely cited rodent-ecology figure puts a rat's home range at up to 50 yards, which comfortably spans several suburban lots. An infested or long-vacant neighboring property, or something as simple as an unsecured dumpster nearby, adds real pressure to the surrounding area, not just to the property where the problem originates.
That pressure compounds in a specific way, too: once one mouse finds a route into a structure, it leaves scent trails that help guide others to the same spot, so an established entry point can attract more activity over time rather than staying a single, isolated incident.

