diff --git a/DESCRIPTION b/DESCRIPTION
index 00d53f0..3d81106 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -1,6 +1,6 @@
 Package: odin2
 Title: Next generation odin
-Version: 0.3.15
+Version: 0.3.16
 Authors@R: c(person("Rich", "FitzJohn", role = c("aut", "cre"),
                     email = "rich.fitzjohn@gmail.com"),
              person("Wes", "Hinsley", role = "aut"),
@@ -17,12 +17,13 @@ URL: https://mrc-ide.github.io/odin2, https://github.com/mrc-ide/odin2
 BugReports: https://github.com/mrc-ide/odin2/issues
 Imports:
     cli,
-    dust2 (>= 0.3.7),
+    dust2 (>= 0.3.9),
     glue,
     monty (>= 0.3.11),
     rlang
 Suggests:
     decor,
+    deSolve,
     fs,
     knitr,
     rmarkdown,
diff --git a/R/generate_dust.R b/R/generate_dust.R
index cc518fa..bad4ee2 100644
--- a/R/generate_dust.R
+++ b/R/generate_dust.R
@@ -435,12 +435,11 @@ generate_dust_system_delays <- function(dat) {
                                  dat$sexp_data)
     if (target %in% arrays$name) {
       size <- generate_dust_sexp(call("OdinLength", target), dat$sexp_data)
-      index <- sprintf("dust2::tools::integer_sequence(%s, %s)",
-                       size, offset)
     } else {
-      index <- sprintf("{%s}", offset)
+      size <- "1"
     }
-    body$add(sprintf("const dust2::ode::delay<real_type> %s{%s, %s};",
+    index <- sprintf("{%s, %s}", offset, size)
+    body$add(sprintf("const dust2::ode::delay<real_type> %s(%s, {%s});",
                      nm, by, index))
   }
 
@@ -973,10 +972,10 @@ generate_dust_system_delay_equation <- function(nm, dat) {
 
   if (delay_type == "variable") {
     if (is_array) {
-      ret <- sprintf("const auto& %s = delays[%d];",
+      ret <- sprintf("const auto& %s = delays[%d].data;",
                      nm, i - 1)
     } else {
-      ret <- sprintf("const auto %s = delays[%d][0];",
+      ret <- sprintf("const auto %s = delays[%d].data[0];",
                      nm, i - 1)
     }
   } else {
diff --git a/tests/testthat/test-generate-delay.R b/tests/testthat/test-generate-delay.R
index fd9a62e..5f19c68 100644
--- a/tests/testthat/test-generate-delay.R
+++ b/tests/testthat/test-generate-delay.R
@@ -9,14 +9,14 @@ test_that("can generate a very simple delay", {
   expect_equal(
     generate_dust_system_delays(dat),
     c(method_args$delays,
-      "  const dust2::ode::delay<real_type> a{1, {0}};",
+      "  const dust2::ode::delay<real_type> a(1, {{0, 1}});",
       "  return dust2::ode::delays<real_type>({a});",
       "}"))
 
   expect_equal(
     generate_dust_system_rhs(dat),
     c(method_args$rhs_delays,
-      "  const auto a = delays[0][0];",
+      "  const auto a = delays[0].data[0];",
       "  const auto x = state[0];",
       "  state_deriv[0] = x - a;",
       "}"))
@@ -35,14 +35,14 @@ test_that("can generate a delayed array", {
   expect_equal(
     generate_dust_system_delays(dat),
     c(method_args$delays,
-      "  const dust2::ode::delay<real_type> a{1, dust2::tools::integer_sequence(shared.dim.x.size, 0)};",
+      "  const dust2::ode::delay<real_type> a(1, {{0, shared.dim.x.size}});",
       "  return dust2::ode::delays<real_type>({a});",
       "}"))
 
   expect_equal(
     generate_dust_system_rhs(dat),
     c(method_args$rhs_delays,
-      "  const auto& a = delays[0];",
+      "  const auto& a = delays[0].data;",
       "  const auto * x = state + 0;",
       "  for (size_t i = 1; i <= shared.dim.x.size; ++i) {",
       "    state_deriv[i - 1 + 0] = x[i - 1] - a[i - 1];",
@@ -64,7 +64,7 @@ test_that("can generate delay in output", {
   expect_equal(
     generate_dust_system_delays(dat),
     c(method_args$delays,
-      "  const dust2::ode::delay<real_type> a{1, {0}};",
+      "  const dust2::ode::delay<real_type> a(1, {{0, 1}});",
       "  return dust2::ode::delays<real_type>({a});",
       "}"))
 
@@ -77,7 +77,7 @@ test_that("can generate delay in output", {
   expect_equal(
     generate_dust_system_output(dat),
     c(method_args$output_delays,
-      "  const auto a = delays[0][0];",
+      "  const auto a = delays[0].data[0];",
       "  const auto x = state[0];",
       "  state[1] = x - a;",
       "}"))
diff --git a/tests/testthat/test-zzz-integration.R b/tests/testthat/test-zzz-integration.R
index 8b04c1c..78ed738 100644
--- a/tests/testthat/test-zzz-integration.R
+++ b/tests/testthat/test-zzz-integration.R
@@ -220,3 +220,39 @@ test_that("Can generate an ode system with output", {
 
   expect_equal(y, logistic(pars$r, pars$K, t, rep(1, 5)), tolerance = 1e-5)
 })
+
+
+test_that("can compile model with delays", {
+  skip_if_not_installed("deSolve")
+  gen <- odin({
+    ylag <- delay(y, tau)
+    initial(y) <- 0.5
+    deriv(y) <- 0.2 * ylag * 1 / (1 + ylag^10) - 0.1 * y
+    tau <- parameter(10, constant = TRUE)
+  }, quiet = TRUE, debug = TRUE)
+
+  rhs <- function(t, y, pars) {
+    tau <- pars$tau
+    if (t < tau) {
+      ylag <- 0.5
+    } else {
+      ylag <- deSolve::lagvalue(t - tau)
+    }
+    list(0.2 * ylag * 1 / (1 + ylag^10) - 0.1 * y)
+  }
+
+  t <- seq(0, 300, length.out = 301)
+  sys1 <- dust2::dust_system_create(gen)
+  dust2::dust_system_set_state_initial(sys1)
+  y1 <- dust2::dust_system_simulate(sys1, t)
+
+  ## Compare against deSolve
+  z1 <- deSolve::dede(0.5, t, rhs, list(tau = 10))
+  expect_equal(drop(y1), z1[, 2], tolerance = 1e-5)
+
+  sys2 <- dust2::dust_system_create(gen, list(tau = 20))
+  dust2::dust_system_set_state_initial(sys2)
+  y2 <- dust2::dust_system_simulate(sys2, t)
+  z2 <- deSolve::dede(0.5, t, rhs, list(tau = 20))
+  expect_equal(drop(y2), z2[, 2], tolerance = 1e-5)
+})