diff --git a/ngm/__init__.py b/ngm/__init__.py
index e69de29..06e5ace 100644
--- a/ngm/__init__.py
+++ b/ngm/__init__.py
@@ -0,0 +1,44 @@
+import numpy as np
+
+
+def ngm_sir(n, doses, r, v_e):
+    """
+    Function to calculate Re and distribution of infections for a 4-group SIR model with equal recovery rates of 1
+
+    Args:
+        n (array): Population sizes for each group
+        doses (array): Number of vaccine doses administered to each group
+        r (2D array): Square matrix with entries representing between and within group beta (when gamma =1 these entires are within and between group R0)
+        v_e (float): Vaccine efficacy, all or nothing
+
+    Returns:
+        dict: Contains dominant eigenvalue, dominant eigenvector, and adjusted NGM accounting for vaccination
+    """
+    assert np.all(n >= doses), "Vaccinated cannot exceed population size"
+    assert len(r.shape) == 2 and r.shape[0] == r.shape[1]
+    assert len(n) == len(doses) == r.shape[0], "Input dimensions must match"
+
+    n_sus = n - doses * v_e
+    n_t = n_sus.reshape(-1, 1)  # transpose
+    R = r * n_t / sum(n_t)
+
+    eigenvalues, eigenvectors = np.linalg.eig(R)
+    dominant_index = np.argmax(np.abs(eigenvalues))
+    dominant_eigenvalue = eigenvalues[dominant_index]
+    dominant_vector = eigenvectors[:, dominant_index]
+    dominant_vector_rescaled = dominant_vector / dominant_vector.sum()
+
+    return {
+        "dominant_eigenvalue": dominant_eigenvalue,
+        "dominant_eigenvector": dominant_vector_rescaled,
+        "ngm_adjusted": R,
+    }
+
+
+# ###example from keeling and rohani
+# n = np.array([200, 800])
+# doses = np.array([0,0])
+# v_e = 1
+# r = np.array([[10, 0.1], [0.1, 1]])
+# p_s = [0.01, 0.01]
+# print(ngm_sir(n=n, doses=doses, r=r, v_e=v_e))
diff --git a/poetry.lock b/poetry.lock
index 45e8fdc..d0f18df 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,4 +1,47 @@
-# This file is automatically @generated by Poetry 1.7.1 and should not be changed by hand.
+# This file is automatically @generated by Poetry 1.8.1 and should not be changed by hand.
+
+[[package]]
+name = "altair"
+version = "5.5.0"
+description = "Vega-Altair: A declarative statistical visualization library for Python."
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "altair-5.5.0-py3-none-any.whl", hash = "sha256:91a310b926508d560fe0148d02a194f38b824122641ef528113d029fcd129f8c"},
+    {file = "altair-5.5.0.tar.gz", hash = "sha256:d960ebe6178c56de3855a68c47b516be38640b73fb3b5111c2a9ca90546dd73d"},
+]
+
+[package.dependencies]
+jinja2 = "*"
+jsonschema = ">=3.0"
+narwhals = ">=1.14.2"
+packaging = "*"
+typing-extensions = {version = ">=4.10.0", markers = "python_version < \"3.14\""}
+
+[package.extras]
+all = ["altair-tiles (>=0.3.0)", "anywidget (>=0.9.0)", "numpy", "pandas (>=1.1.3)", "pyarrow (>=11)", "vega-datasets (>=0.9.0)", "vegafusion[embed] (>=1.6.6)", "vl-convert-python (>=1.7.0)"]
+dev = ["duckdb (>=1.0)", "geopandas", "hatch (>=1.13.0)", "ipython[kernel]", "mistune", "mypy", "pandas (>=1.1.3)", "pandas-stubs", "polars (>=0.20.3)", "pyarrow-stubs", "pytest", "pytest-cov", "pytest-xdist[psutil] (>=3.5,<4.0)", "ruff (>=0.6.0)", "types-jsonschema", "types-setuptools"]
+doc = ["docutils", "jinja2", "myst-parser", "numpydoc", "pillow (>=9,<10)", "pydata-sphinx-theme (>=0.14.1)", "scipy", "sphinx", "sphinx-copybutton", "sphinx-design", "sphinxext-altair"]
+save = ["vl-convert-python (>=1.7.0)"]
+
+[[package]]
+name = "attrs"
+version = "24.2.0"
+description = "Classes Without Boilerplate"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "attrs-24.2.0-py3-none-any.whl", hash = "sha256:81921eb96de3191c8258c199618104dd27ac608d9366f5e35d011eae1867ede2"},
+    {file = "attrs-24.2.0.tar.gz", hash = "sha256:5cfb1b9148b5b086569baec03f20d7b6bf3bcacc9a42bebf87ffaaca362f6346"},
+]
+
+[package.extras]
+benchmark = ["cloudpickle", "hypothesis", "mypy (>=1.11.1)", "pympler", "pytest (>=4.3.0)", "pytest-codspeed", "pytest-mypy-plugins", "pytest-xdist[psutil]"]
+cov = ["cloudpickle", "coverage[toml] (>=5.3)", "hypothesis", "mypy (>=1.11.1)", "pympler", "pytest (>=4.3.0)", "pytest-mypy-plugins", "pytest-xdist[psutil]"]
+dev = ["cloudpickle", "hypothesis", "mypy (>=1.11.1)", "pre-commit", "pympler", "pytest (>=4.3.0)", "pytest-mypy-plugins", "pytest-xdist[psutil]"]
+docs = ["cogapp", "furo", "myst-parser", "sphinx", "sphinx-notfound-page", "sphinxcontrib-towncrier", "towncrier (<24.7)"]
+tests = ["cloudpickle", "hypothesis", "mypy (>=1.11.1)", "pympler", "pytest (>=4.3.0)", "pytest-mypy-plugins", "pytest-xdist[psutil]"]
+tests-mypy = ["mypy (>=1.11.1)", "pytest-mypy-plugins"]
 
 [[package]]
 name = "babel"
@@ -14,6 +57,28 @@ files = [
 [package.extras]
 dev = ["freezegun (>=1.0,<2.0)", "pytest (>=6.0)", "pytest-cov"]
 
+[[package]]
+name = "blinker"
+version = "1.9.0"
+description = "Fast, simple object-to-object and broadcast signaling"
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "blinker-1.9.0-py3-none-any.whl", hash = "sha256:ba0efaa9080b619ff2f3459d1d500c57bddea4a6b424b60a91141db6fd2f08bc"},
+    {file = "blinker-1.9.0.tar.gz", hash = "sha256:b4ce2265a7abece45e7cc896e98dbebe6cead56bcf805a3d23136d145f5445bf"},
+]
+
+[[package]]
+name = "cachetools"
+version = "5.5.0"
+description = "Extensible memoizing collections and decorators"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "cachetools-5.5.0-py3-none-any.whl", hash = "sha256:02134e8439cdc2ffb62023ce1debca2944c3f289d66bb17ead3ab3dede74b292"},
+    {file = "cachetools-5.5.0.tar.gz", hash = "sha256:2cc24fb4cbe39633fb7badd9db9ca6295d766d9c2995f245725a46715d050f2a"},
+]
+
 [[package]]
 name = "certifi"
 version = "2024.8.30"
@@ -181,6 +246,38 @@ python-dateutil = ">=2.8.1"
 [package.extras]
 dev = ["flake8", "markdown", "twine", "wheel"]
 
+[[package]]
+name = "gitdb"
+version = "4.0.11"
+description = "Git Object Database"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "gitdb-4.0.11-py3-none-any.whl", hash = "sha256:81a3407ddd2ee8df444cbacea00e2d038e40150acfa3001696fe0dcf1d3adfa4"},
+    {file = "gitdb-4.0.11.tar.gz", hash = "sha256:bf5421126136d6d0af55bc1e7c1af1c397a34f5b7bd79e776cd3e89785c2b04b"},
+]
+
+[package.dependencies]
+smmap = ">=3.0.1,<6"
+
+[[package]]
+name = "gitpython"
+version = "3.1.43"
+description = "GitPython is a Python library used to interact with Git repositories"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "GitPython-3.1.43-py3-none-any.whl", hash = "sha256:eec7ec56b92aad751f9912a73404bc02ba212a23adb2c7098ee668417051a1ff"},
+    {file = "GitPython-3.1.43.tar.gz", hash = "sha256:35f314a9f878467f5453cc1fee295c3e18e52f1b99f10f6cf5b1682e968a9e7c"},
+]
+
+[package.dependencies]
+gitdb = ">=4.0.1,<5"
+
+[package.extras]
+doc = ["sphinx (==4.3.2)", "sphinx-autodoc-typehints", "sphinx-rtd-theme", "sphinxcontrib-applehelp (>=1.0.2,<=1.0.4)", "sphinxcontrib-devhelp (==1.0.2)", "sphinxcontrib-htmlhelp (>=2.0.0,<=2.0.1)", "sphinxcontrib-qthelp (==1.0.3)", "sphinxcontrib-serializinghtml (==1.1.5)"]
+test = ["coverage[toml]", "ddt (>=1.1.1,!=1.4.3)", "mock", "mypy", "pre-commit", "pytest (>=7.3.1)", "pytest-cov", "pytest-instafail", "pytest-mock", "pytest-sugar", "typing-extensions"]
+
 [[package]]
 name = "griffe"
 version = "1.5.1"
@@ -226,6 +323,41 @@ MarkupSafe = ">=2.0"
 [package.extras]
 i18n = ["Babel (>=2.7)"]
 
+[[package]]
+name = "jsonschema"
+version = "4.23.0"
+description = "An implementation of JSON Schema validation for Python"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "jsonschema-4.23.0-py3-none-any.whl", hash = "sha256:fbadb6f8b144a8f8cf9f0b89ba94501d143e50411a1278633f56a7acf7fd5566"},
+    {file = "jsonschema-4.23.0.tar.gz", hash = "sha256:d71497fef26351a33265337fa77ffeb82423f3ea21283cd9467bb03999266bc4"},
+]
+
+[package.dependencies]
+attrs = ">=22.2.0"
+jsonschema-specifications = ">=2023.03.6"
+referencing = ">=0.28.4"
+rpds-py = ">=0.7.1"
+
+[package.extras]
+format = ["fqdn", "idna", "isoduration", "jsonpointer (>1.13)", "rfc3339-validator", "rfc3987", "uri-template", "webcolors (>=1.11)"]
+format-nongpl = ["fqdn", "idna", "isoduration", "jsonpointer (>1.13)", "rfc3339-validator", "rfc3986-validator (>0.1.0)", "uri-template", "webcolors (>=24.6.0)"]
+
+[[package]]
+name = "jsonschema-specifications"
+version = "2024.10.1"
+description = "The JSON Schema meta-schemas and vocabularies, exposed as a Registry"
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "jsonschema_specifications-2024.10.1-py3-none-any.whl", hash = "sha256:a09a0680616357d9a0ecf05c12ad234479f549239d0f5b55f3deea67475da9bf"},
+    {file = "jsonschema_specifications-2024.10.1.tar.gz", hash = "sha256:0f38b83639958ce1152d02a7f062902c41c8fd20d558b0c34344292d417ae272"},
+]
+
+[package.dependencies]
+referencing = ">=0.31.0"
+
 [[package]]
 name = "markdown"
 version = "3.7"
@@ -241,6 +373,30 @@ files = [
 docs = ["mdx-gh-links (>=0.2)", "mkdocs (>=1.5)", "mkdocs-gen-files", "mkdocs-literate-nav", "mkdocs-nature (>=0.6)", "mkdocs-section-index", "mkdocstrings[python]"]
 testing = ["coverage", "pyyaml"]
 
+[[package]]
+name = "markdown-it-py"
+version = "3.0.0"
+description = "Python port of markdown-it. Markdown parsing, done right!"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "markdown-it-py-3.0.0.tar.gz", hash = "sha256:e3f60a94fa066dc52ec76661e37c851cb232d92f9886b15cb560aaada2df8feb"},
+    {file = "markdown_it_py-3.0.0-py3-none-any.whl", hash = "sha256:355216845c60bd96232cd8d8c40e8f9765cc86f46880e43a8fd22dc1a1a8cab1"},
+]
+
+[package.dependencies]
+mdurl = ">=0.1,<1.0"
+
+[package.extras]
+benchmarking = ["psutil", "pytest", "pytest-benchmark"]
+code-style = ["pre-commit (>=3.0,<4.0)"]
+compare = ["commonmark (>=0.9,<1.0)", "markdown (>=3.4,<4.0)", "mistletoe (>=1.0,<2.0)", "mistune (>=2.0,<3.0)", "panflute (>=2.3,<3.0)"]
+linkify = ["linkify-it-py (>=1,<3)"]
+plugins = ["mdit-py-plugins"]
+profiling = ["gprof2dot"]
+rtd = ["jupyter_sphinx", "mdit-py-plugins", "myst-parser", "pyyaml", "sphinx", "sphinx-copybutton", "sphinx-design", "sphinx_book_theme"]
+testing = ["coverage", "pytest", "pytest-cov", "pytest-regressions"]
+
 [[package]]
 name = "markupsafe"
 version = "3.0.2"
@@ -311,6 +467,17 @@ files = [
     {file = "markupsafe-3.0.2.tar.gz", hash = "sha256:ee55d3edf80167e48ea11a923c7386f4669df67d7994554387f84e7d8b0a2bf0"},
 ]
 
+[[package]]
+name = "mdurl"
+version = "0.1.2"
+description = "Markdown URL utilities"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "mdurl-0.1.2-py3-none-any.whl", hash = "sha256:84008a41e51615a49fc9966191ff91509e3c40b939176e643fd50a5c2196b8f8"},
+    {file = "mdurl-0.1.2.tar.gz", hash = "sha256:bb413d29f5eea38f31dd4754dd7377d4465116fb207585f97bf925588687c1ba"},
+]
+
 [[package]]
 name = "mdx-truly-sane-lists"
 version = "1.3"
@@ -480,6 +647,89 @@ griffe = ">=0.49"
 mkdocs-autorefs = ">=1.2"
 mkdocstrings = ">=0.26"
 
+[[package]]
+name = "narwhals"
+version = "1.14.2"
+description = "Extremely lightweight compatibility layer between dataframe libraries"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "narwhals-1.14.2-py3-none-any.whl", hash = "sha256:2e784800b87c9e1ff47984da0046d957320f39b64c08f0e5b1b1a1208694935c"},
+    {file = "narwhals-1.14.2.tar.gz", hash = "sha256:287406a3777d102f981d27c5827a6b5a9d8bd8c89c79cd9fbe46e2956425f078"},
+]
+
+[package.extras]
+cudf = ["cudf (>=23.08.00)"]
+dask = ["dask[dataframe] (>=2024.7)"]
+modin = ["modin"]
+pandas = ["pandas (>=0.25.3)"]
+polars = ["polars (>=0.20.3)"]
+pyarrow = ["pyarrow (>=11.0.0)"]
+
+[[package]]
+name = "numpy"
+version = "2.1.3"
+description = "Fundamental package for array computing in Python"
+optional = false
+python-versions = ">=3.10"
+files = [
+    {file = "numpy-2.1.3-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:c894b4305373b9c5576d7a12b473702afdf48ce5369c074ba304cc5ad8730dff"},
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@@ -579,6 +1100,17 @@ files = [
 [package.dependencies]
 six = ">=1.5"
 
+[[package]]
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+description = "World timezone definitions, modern and historical"
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 use-chardet-on-py3 = ["chardet (>=3.0.2,<6)"]
 
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+]
+
 [[package]]
 name = "six"
 version = "1.16.0"
@@ -790,6 +1455,120 @@ files = [
     {file = "six-1.16.0.tar.gz", hash = "sha256:1e61c37477a1626458e36f7b1d82aa5c9b094fa4802892072e49de9c60c4c926"},
 ]
 
+[[package]]
+name = "smmap"
+version = "5.0.1"
+description = "A pure Python implementation of a sliding window memory map manager"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "smmap-5.0.1-py3-none-any.whl", hash = "sha256:e6d8668fa5f93e706934a62d7b4db19c8d9eb8cf2adbb75ef1b675aa332b69da"},
+    {file = "smmap-5.0.1.tar.gz", hash = "sha256:dceeb6c0028fdb6734471eb07c0cd2aae706ccaecab45965ee83f11c8d3b1f62"},
+]
+
+[[package]]
+name = "streamlit"
+version = "1.40.2"
+description = "A faster way to build and share data apps"
+optional = false
+python-versions = "!=3.9.7,>=3.9"
+files = [
+    {file = "streamlit-1.40.2-py2.py3-none-any.whl", hash = "sha256:7f6d1379a590f9625a6aee79ca73ceccff03cd2e05a3acbe5fe98915c27a7ffe"},
+    {file = "streamlit-1.40.2.tar.gz", hash = "sha256:0cc131fc9b18065feaff8f6f241c81164ad37d8d9e3a85499a0240aaaf6a6a61"},
+]
+
+[package.dependencies]
+altair = ">=4.0,<6"
+blinker = ">=1.0.0,<2"
+cachetools = ">=4.0,<6"
+click = ">=7.0,<9"
+gitpython = ">=3.0.7,<3.1.19 || >3.1.19,<4"
+numpy = ">=1.23,<3"
+packaging = ">=20,<25"
+pandas = ">=1.4.0,<3"
+pillow = ">=7.1.0,<12"
+protobuf = ">=3.20,<6"
+pyarrow = ">=7.0"
+pydeck = ">=0.8.0b4,<1"
+requests = ">=2.27,<3"
+rich = ">=10.14.0,<14"
+tenacity = ">=8.1.0,<10"
+toml = ">=0.10.1,<2"
+tornado = ">=6.0.3,<7"
+typing-extensions = ">=4.3.0,<5"
+watchdog = {version = ">=2.1.5,<7", markers = "platform_system != \"Darwin\""}
+
+[package.extras]
+snowflake = ["snowflake-connector-python (>=2.8.0)", "snowflake-snowpark-python[modin] (>=1.17.0)"]
+
+[[package]]
+name = "tenacity"
+version = "9.0.0"
+description = "Retry code until it succeeds"
+optional = false
+python-versions = ">=3.8"
+files = [
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+]
+
+[package.extras]
+doc = ["reno", "sphinx"]
+test = ["pytest", "tornado (>=4.5)", "typeguard"]
+
+[[package]]
+name = "toml"
+version = "0.10.2"
+description = "Python Library for Tom's Obvious, Minimal Language"
+optional = false
+python-versions = ">=2.6, !=3.0.*, !=3.1.*, !=3.2.*"
+files = [
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+]
+
+[[package]]
+name = "tornado"
+version = "6.4.2"
+description = "Tornado is a Python web framework and asynchronous networking library, originally developed at FriendFeed."
+optional = false
+python-versions = ">=3.8"
+files = [
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+    {file = "tornado-6.4.2.tar.gz", hash = "sha256:92bad5b4746e9879fd7bf1eb21dce4e3fc5128d71601f80005afa39237ad620b"},
+]
+
+[[package]]
+name = "typing-extensions"
+version = "4.12.2"
+description = "Backported and Experimental Type Hints for Python 3.8+"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "typing_extensions-4.12.2-py3-none-any.whl", hash = "sha256:04e5ca0351e0f3f85c6853954072df659d0d13fac324d0072316b67d7794700d"},
+    {file = "typing_extensions-4.12.2.tar.gz", hash = "sha256:1a7ead55c7e559dd4dee8856e3a88b41225abfe1ce8df57b7c13915fe121ffb8"},
+]
+
+[[package]]
+name = "tzdata"
+version = "2024.2"
+description = "Provider of IANA time zone data"
+optional = false
+python-versions = ">=2"
+files = [
+    {file = "tzdata-2024.2-py2.py3-none-any.whl", hash = "sha256:a48093786cdcde33cad18c2555e8532f34422074448fbc874186f0abd79565cd"},
+    {file = "tzdata-2024.2.tar.gz", hash = "sha256:7d85cc416e9382e69095b7bdf4afd9e3880418a2413feec7069d533d6b4e31cc"},
+]
+
 [[package]]
 name = "urllib3"
 version = "2.2.3"
@@ -852,4 +1631,4 @@ watchmedo = ["PyYAML (>=3.10)"]
 [metadata]
 lock-version = "2.0"
 python-versions = "^3.10"
-content-hash = "8d17bb79fda24ef615cfc6c1c656d9af6c18541026a1124341c2b015aa380927"
+content-hash = "a8020dfb4eeecd629ddae640e3a2d6c87c4c183acaf686826c4ce51949d800b9"
diff --git a/pyproject.toml b/pyproject.toml
index 465c791..53a50ec 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -7,6 +7,8 @@ readme = "README.md"
 
 [tool.poetry.dependencies]
 python = "^3.10"
+numpy = "^2.1.3"
+streamlit = "^1.40.1"
 
 
 [tool.poetry.group.dev.dependencies]
diff --git a/scratch/test-ngm.R b/scratch/test-ngm.R
index 5ff871e..5a257ec 100644
--- a/scratch/test-ngm.R
+++ b/scratch/test-ngm.R
@@ -76,7 +76,7 @@ V2 <- substitute(a - b, list(a = Vm2, b = Vp2))
 V3 <- substitute(a - b, list(a = Vm3, b = Vp3))
 vlist <- c(V1, V2, V3)
 params <- list(
-  bKK = 10, bKC = 1, bKG = 1,
+  bKK = 1, bKC = 1, bKG = 1,
   bCK = 1, bCC = 10, bCG = 1,
   bGK = 1, bGC = 1, bGG = 1,
   gamma = 1
diff --git a/widget/widget.py b/widget/widget.py
new file mode 100644
index 0000000..a73a134
--- /dev/null
+++ b/widget/widget.py
@@ -0,0 +1,98 @@
+# To-do: be very sure we know what rows vs columns mean
+import numpy as np
+import pandas as pd
+import streamlit as st
+
+from ngm import ngm_sir
+
+
+def app():
+    st.title("4-Group SIR Model NGM Calculator")
+
+    # Group names
+    group_names = ["Core", "Kids", "Travelers", "General Population"]
+
+    # Sidebar for inputs
+    st.sidebar.header("Model Inputs")
+
+    # Population size
+    st.sidebar.subheader("Population Sizes")
+    N = np.array(
+        [
+            st.sidebar.number_input(
+                f"Population ({group})", value=100, min_value=0
+            )
+            for group in group_names
+        ]
+    )
+
+    # Vaccine doses
+    st.sidebar.subheader("Vaccine Doses")
+    V = np.array(
+        [
+            st.sidebar.number_input(
+                f"Vaccine Doses ({group})",
+                value=0,
+                min_value=0,
+                max_value=N[i],
+            )
+            for i, group in enumerate(group_names)
+        ]
+    )
+
+    # Contact matrix
+    st.sidebar.subheader("R0 (low) and R0 (high), entries to NGM (K)")
+    # Define lo and hi using Streamlit inputs
+    lo = st.sidebar.number_input("Low value", value=0.5)
+    hi = st.sidebar.number_input("High value", value=3)
+
+    # Create the contact matrix K
+    K = np.array(
+        [
+            [hi, lo, hi, lo],  # core
+            [lo, lo, lo, lo],  # kids
+            [hi, lo, lo, lo],  # travelers
+            [lo, lo, lo, lo],  # general
+        ]
+    )
+
+    with st.sidebar.expander("Advanced Settings"):
+        st.sidebar.subheader("Vaccine efficacy")
+        VE = st.sidebar.slider(
+            "Vaccine Efficacy", 0.0, 1.0, value=0.7, step=0.01
+        )
+
+    # Perform the NGM calculation
+    if st.sidebar.button("Calculate"):
+        result = ngm_sir(n=N, doses=V, r=K, v_e=VE)
+
+        # Display the adjusted contact matrix
+        st.subheader("NGM with vaccination")
+        st.write(
+            "This matrix reflects the impact of vaccine efficacy and susceptibility:"
+        )
+
+        K_adjusted_df = pd.DataFrame(
+            result["ngm_adjusted"],
+            columns=group_names,
+            index=group_names,
+        )
+
+        st.dataframe(K_adjusted_df)
+
+        # Display results
+        st.subheader("Results")
+        st.write(f"R-effective: {result['dominant_eigenvalue']:.2f}")
+        st.write("Distribution of Infections by Group:")
+        st.json(
+            {
+                group: round(inf, 2)
+                for group, inf in zip(
+                    group_names, result["dominant_eigenvector"]
+                )
+            }
+        )
+
+
+if __name__ == "__main__":
+    app()