How to fire an event when v-model changes?

You can actually simplify this by removing the v-on directives:

<input type="radio" name="optionsRadios" id="optionsRadios1" value="1" v-model="srStatus">

And use the watch method to listen for the change:

new Vue ({
    el: "#app",
    data: {
        cases: [
            { name: 'case A', status: '1' },
            { name: 'case B', status: '0' },
            { name: 'case C', status: '1' }
        ],
        activeCases: [],
        srStatus: ''
    },
    watch: {
        srStatus: function(val, oldVal) {
            for (var i = 0; i < this.cases.length; i++) {
                if (this.cases[i].status == val) {
                    this.activeCases.push(this.cases[i]);
                    alert("Fired! " + val);
                }
            }
        }
    }
});