diff --git a/models/SIR_tauleap.jl b/models/SIR_tauleap.jl
index b5dfd5117a5d9d17ba0be830ec863e05fbc98e06..6dac452d92feb7e4f0478010da969f0d6787abf8 100644
--- a/models/SIR_tauleap.jl
+++ b/models/SIR_tauleap.jl
@@ -17,6 +17,10 @@ function SIR_tauleap_f!(xnplus1::Vector{Int}, l_t::Vector{Float64}, l_tr::Vector
     a2 = p[2] * xn[2]
     l_a = SVector(a1, a2)
     asum = sum(l_a)
+    if asum == 0.0
+        copyto!(xnplus1, xn)
+        return nothing
+    end
     # column-major order
     nu_1 = SVector(-1, 1, 0)
     nu_2 = SVector(0, -1, 1)
diff --git a/tests/run_simulation.jl b/tests/run_simulation.jl
index 5dee590b9aac8eaa59aeece3c07fe264a79ec806..80d3cb37911918cf8028ba27d9f6414e73cdc390 100644
--- a/tests/run_simulation.jl
+++ b/tests/run_simulation.jl
@@ -14,5 +14,7 @@ if !isdir(str_dir_pics) mkdir(str_dir_pics) end
     @test include("simulation/sim_er_row_buffer_bounded.jl")
     @test include("simulation/sim_pm_er.jl")
     @test include("simulation/sim_pm_sync_er.jl")
+    @test include("simulation/sim_sir_tauleap.jl")
+    @test include("simulation/sim_poisson.jl")
 end
 
diff --git a/tests/simulation/sim_poisson.jl b/tests/simulation/sim_poisson.jl
new file mode 100644
index 0000000000000000000000000000000000000000..40aa61dc92be289aa9eb1e6bf52b03ea942d89f8
--- /dev/null
+++ b/tests/simulation/sim_poisson.jl
@@ -0,0 +1,10 @@
+
+using MarkovProcesses
+load_plots()
+
+load_model("poisson")
+σ = simulate(poisson)
+MarkovProcesses.plot(σ; filename = get_module_path() * "/tests/simulation/res_pics/sim_poisson.png")
+
+return true
+
diff --git a/tests/simulation/sim_sir_tauleap.jl b/tests/simulation/sim_sir_tauleap.jl
new file mode 100644
index 0000000000000000000000000000000000000000..a1fa7cf4bf2a337d14d8d72a817f5b7974f9c53d
--- /dev/null
+++ b/tests/simulation/sim_sir_tauleap.jl
@@ -0,0 +1,10 @@
+
+using MarkovProcesses
+load_plots()
+
+load_model("SIR_tauleap")
+σ = simulate(SIR_tauleap)
+MarkovProcesses.plot(σ; filename = get_module_path() * "/tests/simulation/res_pics/sim_sir_tauleap.png")
+
+return true
+