vue.js select2 multiple select

For many days I've searched to find an answer to this error. I tried many alternatives but nothing worked.

I need to select multiple values. When I select multiple values, my code hangs, but when I use a single select it works well with self.$emit('input', this.value). What I need is to select multiple values.

Select2.vue

<template>
    <select multiple class="input-sm" :name="name">
        <slot></slot>
    </select>
</template>
<style src="select2/dist/css/select2.min.css"></style>
<style src="select2-bootstrap-theme/dist/select2-bootstrap.min.css"></style>

<script>
    import Select2 from 'select2';

    export default{
        twoWay: true,
        priority: 1000,
        props: ['options', 'value', 'name'],
        data(){
            return{
                msg: 'hello'
            }
        },
        mounted(){
            var self = this;
            $(this.$el)
                .select2({theme: "bootstrap", data: this.options})
                .val(this.value)
                .trigger('change')
                .on('change', function () {
                    //self.$emit('input', this.value) //single select worked good
                    self.$emit('input',  $(this).val()) // multiple select
                })
        },
        watch: {
            value: function (value) {
                $(this.$el).val(value).trigger('change');
            },
            options: function (options) {
                $(this.$el).select2({ data: options })
            }
        },
        destroyed: function () {
            $(this.$el).off().select2('destroy')
        }
    }
</script>

new.vue

    <p>Selected: {{ model.users_id }}</p>
              <select2 :options="options" v-model="model.users_id" name="options[]" style="width: 1000px; height: 1em;" class="form-control">
           <option value="0">default</option>
            </select2>

    export default {
            data(){
                return {
                    model: {
                        'users_id': [],
                    },
                    options: [],

components:{
            'select2': Select2
         },