diff --git a/rabbits-and-foxes-kmc-question.ipynb b/rabbits-and-foxes-kmc-question.ipynb
index 657efb4..48b5de7 100644
--- a/rabbits-and-foxes-kmc-question.ipynb
+++ b/rabbits-and-foxes-kmc-question.ipynb
@@ -23,7 +23,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -79,13 +79,141 @@
     }
    },
    "outputs": [],
+   "source": [
+    "def monte_carlo():\n",
+    "    \"\"\"Perform a KMC simulation of rabbits and foxes population dynamics.\"\"\"\n",
+    "    times = []\n",
+    "    rabbits = []\n",
+    "    foxes = []\n",
+    "\n",
+    "    time = 0\n",
+    "    rabbit = 400\n",
+    "    fox = 200\n",
+    "\n",
+    "    times = [time]  # list of times\n",
+    "    rabbits = [rabbit]  # list of rabbits\n",
+    "    foxes = [fox]  # list of foxes\n",
+    "\n",
+    "    end_time = 600\n",
+    "\n",
+    "    k1= 0.015\n",
+    "    k2 = 0.00004\n",
+    "    k3 = 0.0004\n",
+    "    k4 = 0.04\n",
+    "\n",
+    "    while time < end_time:\n",
+    "        rate_rabbit_birth = k1*rabbit\n",
+    "        rate_rabbit_death = k2*rabbit*fox\n",
+    "        rate_fox_birth = k3*rabbit*fox\n",
+    "        rate_fox_death = k4*fox\n",
+    "\n",
+    "        rates = np.array([rate_rabbit_birth, rate_rabbit_death, rate_fox_birth, rate_fox_death])\n",
+    "        cumulative_rates = rates.cumsum()\n",
+    "        total_rate = cumulative_rates[-1]\n",
+    "        ut = np.random.uniform(0,1)\n",
+    "    \n",
+    "        if total_rate == 0:\n",
+    "            break\n",
+    "    \n",
+    "        event = -1\n",
+    "        for n in range (10):\n",
+    "            u = np.random.uniform(0,1)\n",
+    "            for i, cum_rate in enumerate(cumulative_rates):\n",
+    "                if cum_rate / total_rate > u:\n",
+    "                    event = i\n",
+    "                    break\n",
+    "    #carry out event\n",
+    "        if event == 0:\n",
+    "            rabbit += 1\n",
+    "        elif event == 1:\n",
+    "            rabbit -= 1\n",
+    "        elif event == 2:\n",
+    "            fox += 1\n",
+    "        elif event == 3:\n",
+    "            fox -= 1\n",
+    "        else: \n",
+    "            raise ValueError(\"event not in 0,1,2,3\")\n",
+    "        time = time + ut\n",
+    "        times.append(time)\n",
+    "        rabbits.append(rabbit)\n",
+    "        foxes.append(fox)\n",
+    "    max_rabbit = max(rabbits)\n",
+    "    rabbit_max_time_index = rabbits.index(max_rabbit)\n",
+    "    max_rabbit_time = times[rabbit_max_time_index]\n",
+    "\n",
+    "    max_fox = max(foxes)\n",
+    "    fox_max_time_index = foxes.index(max_fox)\n",
+    "    max_fox_time = times[fox_max_time_index]\n",
+    "\n",
+    "    #plt.plot(times, rabbits , label=\"Rabbits\")\n",
+    "    #plt.plot(times, foxes , label=\"Foxes\")\n",
+    "    #plt.xlabel(\"Time (days)\")\n",
+    "    #plt.ylabel(\"Population\")\n",
+    "    #plt.xlim(0,600)\n",
+    "    #plt.legend()\n",
+    "    #plt.show()\n",
+    "\n",
+    "    return [max_rabbit, max_rabbit_time, max_fox, max_fox_time]\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[401, 1.2889238279960686, 891, 600.6679963468558]\n"
+     ]
+    }
+   ],
+   "source": [
+    "values = monte_carlo()\n",
+    "print(values)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#code to determine how many times we should run the code for enough precision\n",
+    "\n",
+    "num_runs = 100\n",
+    "max_fox_list = []\n",
+    "max_rabbit_list = []\n",
+    "time_max_fox_list = []\n",
+    "time_max_rabbit_list = []\n",
+    "\n",
+    "for run in range(num_runs):\n",
+    "    values = monte_carlo()\n",
+    "    max_rabbit = values[0]\n",
+    "    max_rabbit_time = values[1]\n",
+    "    max_fox = values[2]\n",
+    "    max_fox_time = [3]\n",
+    "    max_rabbit_list.append(max_rabbit)\n",
+    "    time_max_rabbit_list.append(max_rabbit_time)\n",
+    "    max_fox_list.append(max_fox)\n",
+    "    time_max_fox_list.append(max_fox_time)\n",
+    "\n",
+    "   "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": []
   }
  ],
  "metadata": {
   "anaconda-cloud": {},
   "kernelspec": {
-   "display_name": "5137",
+   "display_name": "comp_mod_class",
    "language": "python",
    "name": "python3"
   },
@@ -99,7 +227,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.5"
+   "version": "3.13.7"
   }
  },
  "nbformat": 4,