pass parameter in URL using vuejs and laravel

I wanna display data with specefic ID in laravel using vuejs. I get the ID from the link but it seems that there is no request sent to the controller. api.php :

    <?php

use Illuminate\Http\Request;


Route::middleware('auth:api')->get('/user', function (Request $request) {
    return $request->user();
});

Route::resource('user','API\UserController');
Route::resource('departement','API\DepartementController');
Route::resource('specialite','API\SpecialiteController')->parameters(['specialite'=>'id']);

my controller :

public function show($id)
    {
        $specialite=Specialite::with('dep')->findOrFail($id);
        $spec = Specialite::with('dep')->where('id',$specialite)->get();
        return $spec;
    }

my view :

<script>
    export default {

        data(){
        return{
        specialites:{},
        form: new Form({
            id:'',
            name:'',
            user_id:'',
            bio:''
        }),
        id:0,
        }

        },

    methods: {
        loadspecialite(){
        //axios.get('api/user').then(({data})=>(this.enseignants=data.data));
        axios.get('api/specialite/'+this.id).then(response=>{this.specialites=response.data;});
    },
        created() {
            this.id=this.$route.params.id;
            this.loadspecialite();
            Fire.$on('AfterCreate',()=>{
            this.loadspecialite();

            })

        }
    }
</script>

Hope you'll help me. thank you.

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