Update parent component property from child component in Angular 2

I'm using @input to receive a property from parent component in order to activate a CSS class in one of child component's element.

I'm able to receive the property from parent and also activate the class. But this works only once. The property i'm receiving from parent is a boolean data typed and when I set the status of it to false from child component, it does not change in parent.

Plunkr: https://plnkr.co/edit/58xuZ1uzvToPhPtOING2?p=preview

app.ts

import {Component, NgModule} from '@angular/core'
import {BrowserModule} from '@angular/platform-browser'
import { HeaderComponent } from './header';
import { SearchComponent } from './header/search';

@Component({
  selector: 'my-app',
  template: `
    <app-header></app-header>
  `,
})
export class App {
  name:string;
  constructor() {
  }
}

@NgModule({
  imports: [ BrowserModule ],
  declarations: [ App, HeaderComponent, SearchComponent ],
  bootstrap: [ App ]
})
export class AppModule {}

header.ts

import { Component, OnInit } from '@angular/core';

@Component({
  selector: 'app-header',
  template: `<header>
              <app-search [getSearchStatus]="isSearchActive"></app-search>
              <button (click)="handleSearch()">Open Search</button>
            </header>`
})
export class HeaderComponent implements OnInit {
  isSearchActive = false;

  handleSearch() {
    this.isSearchActive = true
    console.log(this.isSearchActive)
  }

  constructor() { }
  ngOnInit() { }
}

header/search.ts

import { Component, OnInit, Input } from '@angular/core';

@Component({
  selector: 'app-search',
  template: `<div id="search" [class.toggled]="getSearchStatus">
              search 
              <button  (click)="getSearchStatus = false" class="close">Close Search</button>
            </div>`
})
export class SearchComponent implements OnInit {
  @Input() getSearchStatus: boolean;

  constructor() { }

  ngOnInit() {

  }
}

Please check the above given plunker. The open search function works only once. After closing the search, it does not trigger again.

Is @input is the proper use case for this scenario? Please help me fix this. (Please update the plunker).