One-to-Many relationship in MySQL - how to build model?

create table Area(id int primary key auto_increment, name varchar(100));

create table Map(id int primary key auto_increment, 
                 area_id int not null,
                 name varchar(100),
                 foreign key (area_id) references area(id));

SqlFiddle

Each Map MUST have an Area, as area_id is not null (and is a Foreign key on Area)

But you won't be able (and it's not desired) to have "at least one map" for each area.

One day, you'll have to create an Area. And it won't have any Map at this time. Or make "regular" checks to see the Areas without any Map.

You may want to delete an Area, if it has no more related Map, when you delete a Map.