Keep filter values in previous page when navigating

This is what looks like to be a very simple matter but for some reason I couldn't find a clear answer on how to do it.

I have 2 pages : users page that contains a list of users displayed in a v-data-table with search and filters. When I click on one of the users from the list, it opens the second page user details page that contains details of the user.

Let's say in the users page I use an age filter that shows me users with age 30+ and I click on the first user to see his details, when I go back to the users page the filters are restored back to neutral and I have to filter again from scratch. It's very annoying to have to set the filters again every time I want to see one user's details so I'm trying to look for a way to keep them in their current state while I navigate between users.

Here's what the users page looks like :

<template>
  <v-card height="100%">
    <v-container>
      <v-row>
        <v-app-bar>
          <v-row>
            <v-col cols="10">
              Users
            </v-col>
          </v-row>

      <v-row>
        <v-col cols="12">
          <v-card>
            <v-card-title>
              <v-row>
                <v-col cols="8">
                  <v-text-field
                    v-model="search"
                    append-icon="mdi-magnify"
                    label="Search users"
                    single-line
                    hide-details
                    solo
                    light
                    dense
                    rounded
                    clearable></v-text-field>
                </v-col>
                <v-col cols="2">
                  <v-select
                    v-model="filterType"
                    :items="typeList"
                    item-text="lib"
                    item-value="value"
                    label="Type"
                    light
                    solo
                    dense
                    clearable></v-select>
                </v-col>
                <v-col cols="2">
                  <v-select
                    v-model="filterAge"
                    :items="ageList"
                    item-text="lib"
                    item-value="value"
                    label="Age"
                    light
                    solo
                    dense
                    clearable></v-select>
                </v-col>
              </v-row>
            </v-card-title>

            <v-container>
              <v-data-table
                v-model="selectedUsers"
                item-key="id"
                :headers="headers"
                :items="displayedData"
                :options.sync="options"
                :loading="loading"
                :search="search"
                @click:row="clickRow"
                show-select>
              </v-data-table>
            </v-container>
          </v-card>
        </v-col>
      </v-row>
    </v-container>
  </v-card>
</template>

<script>
import moment from 'moment'

export default {
methods  & data ... 

    clickRow(item) {
      this.$router.push({
        name: 'users-id___' + this.$i18n.localeProperties.code,
        params: {
          id: item.id,
        },
      })
    },
}
</script>

And this is what the user details page looks like, I use $router.back() to navigate back to the previous page :

<template>
  <v-card height="100%">
    <v-container>
      <v-row>
        <v-app-bar>
          <v-row>
            <v-col cols="8">
              <v-icon dark @click="$router.back()"> mdi-arrow-left </v-icon>
              <v-icon large left>mdi-badge-account-horizontal</v-icon>
              User {{ badgename }}
            </v-col>
          </v-row>
        </v-app-bar>
      </v-row>

      <v-card-text>
      user details here ...
      </v-card-text>
    </v-container>
  </v-card>
</template>

<script>
import moment from 'moment'

export default {
methods & data ...
</script>

I tried using <keep-alive> with no success, I didn't knew exactly where nor how to use it.

Is there a clean way I can naviguate between users while keeping values of the filters in the users page? Thank you in advance.