diff --git a/.travis.yml b/.travis.yml
index fba457d..023ebdf 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -14,10 +14,9 @@ env:
 
 matrix:
   include:
-    - php: 7.0
-    - php: 7.0
-      env: RELEASE=lowest
     - php: 7.1
+    - php: 7.1
+      env: RELEASE=lowest
     - php: 7.2
     - php: 7.3
       env: COVERAGE=yes
diff --git a/README.md b/README.md
index cc97c60..227817b 100644
--- a/README.md
+++ b/README.md
@@ -111,7 +111,9 @@ DB::table('users')->insertIgnore(
 
 ### Eloquent
 
-You can use UPSERT and INSERT IGNORE queries in Eloquent with the `HasUpsertQueries` trait:
+You can use UPSERT and INSERT IGNORE queries with Eloquent models.
+
+In Laravel 5.5–5.7, this requires the `HasUpsertQueries` trait:
 
 ```php
 class User extends Model
@@ -134,4 +136,6 @@ If you are using Lumen, you have to instantiate the query builder manually:
 $builder = new \Staudenmeir\LaravelUpsert\Query\Builder(app('db')->connection());
 
 $builder->from(...)->upsert(...);
-```
\ No newline at end of file
+```
+
+In Eloquent, the `HasUpsertQueries` trait is required for *all* versions of Lumen.
\ No newline at end of file
diff --git a/composer.json b/composer.json
index 515c371..a2ebffe 100644
--- a/composer.json
+++ b/composer.json
@@ -9,12 +9,12 @@
         }
     ],
     "require": {
-        "php": ">=7.0",
-        "illuminate/database": "5.5.*|5.6.*|5.7.*"
+        "php": "^7.1.3",
+        "illuminate/database": "5.8.*"
     },
     "require-dev": {
-        "laravel/homestead": "^7.0",
-        "orchestra/testbench": "^3.5"
+        "laravel/homestead": "^8.0",
+        "orchestra/testbench": "3.8.*"
     },
     "autoload": {
         "psr-4": {
diff --git a/tests/TestCase.php b/tests/TestCase.php
index 8b6f4ed..c594290 100644
--- a/tests/TestCase.php
+++ b/tests/TestCase.php
@@ -12,7 +12,7 @@
 
 abstract class TestCase extends Base
 {
-    protected function setUp()
+    protected function setUp(): void
     {
         parent::setUp();
 
@@ -48,7 +48,7 @@ protected function setUp()
         Carbon::setTestNow(Carbon::now()->addSecond());
     }
 
-    protected function tearDown()
+    protected function tearDown(): void
     {
         Carbon::setTestNow(null);