Mathematical Modelling of Vaccine Preventable Diseases with R Training Course

Mathematical Modelling of Vaccine Preventable Diseases with R Training Course

This comprehensive 5-day training course is specifically designed to provide health professionals, epidemiologists, and quantitative researchers with the necessary skills to construct, implement, and analyze dynamic transmission models for vaccine-preventable diseases (VPDs) using the powerful R statistical computing environment. The curriculum integrates core concepts from mathematical epidemiology, such as compartmental modeling (SIR/SEIR), with practical data handling and numerical methods, enabling participants to evaluate intervention strategies, forecast disease spread, and understand complex population dynamics.

The training will cover the progression from simple deterministic models to more sophisticated age-structured and stochastic frameworks. Key topics include setting up systems of Ordinary Differential Equations (ODEs) using the deSolve package in R, estimating critical epidemiological parameters like the basic reproduction number (), modeling vaccine efficacy and coverage, and applying techniques for uncertainty and sensitivity analysis. The course culminates in advanced policy applications, including optimizing immunization schedules and performing cost-effectiveness analysis for public health decision-making.


Who Should Attend the Training

·       Epidemiologists and Public Health Scientists

·       Biostatisticians and Modellers

·       Researchers focused on infectious disease dynamics

·       Decision-makers involved in immunization program planning

·       Graduate students in public health or quantitative fields

·       Professionals who use or plan to use R for disease modeling


Objectives of the Training

·       Master the formulation of deterministic compartmental models (SIR, SEIR, and variations) using Ordinary Differential Equations (ODEs).

·       Implement and numerically solve compartmental models efficiently in R using specialized packages like deSolve.

·       Estimate key epidemiological parameters, including the basic reproduction number () and infectious periods, from observed data.

·       Quantify the impact of different vaccine characteristics (efficacy, duration of protection) and coverage levels on disease dynamics.

·       Perform rigorous uncertainty and sensitivity analyses to assess model robustness and identify influential parameters.

·       Develop and analyze age-structured models and models incorporating maternal immunity to capture population heterogeneity.

·       Apply stochastic simulation methods to model outbreak dynamics and the role of chance events.

·       Utilize models to evaluate various intervention policies, such as optimal scheduling and economic costs/benefits.

·       Develop robust R scripts for reproducible research and reporting of modeling results.


Benefits of the Training

Personal Benefits

·       Acquisition of high-demand skills in computational epidemiology and disease modeling

·       Proficiency in using R for complex numerical simulation and data analysis

·       Enhanced ability to interpret and critique scientific literature on VPD modeling

·       Increased confidence in designing and executing independent modeling studies

·       Opportunities for career advancement in public health and infectious disease research

Organizational Benefits

·       Development of internal capacity to create and run predictive models for VPDs

·       Improved accuracy in forecasting outbreak risks and burden of disease

·       Enhanced ability to evaluate and optimize the cost-effectiveness of immunization strategies

·       Stronger evidence base for informing national and regional public health policies

·       Consistent application of best practices in mathematical modeling for reproducible research


Training Methodology

·       Interactive lectures focused on mathematical theory and epidemiological concepts

·       Hands-on R coding sessions for model building and simulation

·       Instructor-led walkthroughs of real-world VPD data analysis and fitting

·       Group exercises and challenges focused on policy-relevant modeling questions

·       Continuous code review and individualized feedback on participant models


Trainer Experience

Our trainers are internationally recognized mathematical epidemiologists with extensive experience in modeling infectious and vaccine-preventable diseases for leading public health institutions and academic centers. They hold PhDs in relevant quantitative fields and have published extensively in peer-reviewed journals. Their expertise combines deep theoretical knowledge of complex dynamic systems with practical proficiency in translating public health questions into actionable R code.


Quality Statement

We are committed to delivering rigorous, up-to-date, and practical training in mathematical modeling. Our course materials reflect the current state-of-the-art in epidemiological modeling techniques and are designed to be fully reproducible. We ensure a high-quality, supportive learning environment that empowers participants to immediately apply complex quantitative methods to public health challenges.


Tailor-made courses

We recognize that every organization has unique data and training needs. This course, while comprehensive, can be fully customized in terms of duration, depth of content, and specific industry data used for case studies. We offer bespoke solutions to align the training precisely with your team's objectives and current technical capabilities.

 

 

Course Duration: 5 days

Training fee: USD 1500

Module 1: Introduction to Epidemiological Modeling and R

  • The role of mathematical models in infectious disease control and policy
  • Key concepts: Infection, Recovery, Immunity, and the Basic Reproduction Number ()
  • Introduction to the R environment, RStudio, and essential packages for modeling
  • Review of data types and structures in R for epidemiological data
  • Practical session: Setting up the R environment and basic data handling for incidence and vaccination records

Module 2: Fundamentals of Deterministic Compartmental Models

  • Deriving and understanding the Susceptible-Infectious-Recovered (SIR) model
  • Extending to the Susceptible-Exposed-Infectious-Recovered (SEIR) model for latent periods
  • Defining and interpreting the system of Ordinary Differential Equations (ODEs)
  • Graphical analysis of model outputs: phase planes and equilibrium points
  • Practical session: Calculating the Basic Reproduction Number () for various simple compartmental models

Module 3: Implementing SIR/SEIR Models in R

  • Numerical integration of ODEs using the deSolve package in R
  • Structuring R code for models: defining parameters, initial conditions, and the ODE function
  • Visualizing and interpreting the time-series output of deterministic models (incidence curves)
  • Model modification: Incorporating vital dynamics (births and deaths)
  • Practical session: Building a fully functional SEIR model in R and simulating the impact of varying transmissibility

Module 4: Parameter Estimation and Model Calibration

  • Introduction to Bayesian and Frequentist approaches for parameter estimation
  • Using Least Squares and Maximum Likelihood Estimation (MLE) for model fitting to incidence data
  • Understanding and minimizing the difference between simulated and observed data (cost functions)
  • Techniques for likelihood maximization and goodness-of-fit testing in R
  • Practical session: Calibrating an SEIR model to synthetic incidence data to estimate the infection rate ()

Module 5: Modeling the Impact of Vaccination

  • Incorporating constant vaccination coverage into compartmental models
  • Modeling different vaccine characteristics: Leaky vs. All-or-Nothing efficacy
  • Analyzing the concept of Herd Immunity Threshold and its dependence on 
  • Modeling waning immunity and the need for booster doses
  • Practical session: Simulating the required vaccination coverage to eliminate a VPD and plotting the reduction in incidence

Module 6: Advanced Model Structures and Dynamics

  • Developing Age-Structured Models using matrices and coupled ODE systems
  • Modeling the dynamics of Maternal Immunity and its impact on infant vaccination
  • Incorporating spatial components and metapopulation models (brief overview)
  • Modeling non-pharmaceutical interventions (NPIs) like social distancing
  • Practical session: Modifying the SEIR model to include two distinct age groups and simulating targeted vaccination

Module 7: Stochastic Modeling and Outbreak Simulation

  • When to use stochastic models: accounting for demographic and environmental noise
  • Introduction to the Gillespie Algorithm (Stochastic Simulation Algorithm)
  • Implementing the Gillespie algorithm for SIR/SEIR models using R packages
  • Analyzing the probability and size distribution of minor and major outbreaks
  • Practical session: Running multiple stochastic simulations for a small population and calculating the probability of disease extinction

Module 8: Policy Analysis and Economic Evaluation

  • Using models to evaluate the effectiveness of different catch-up and routine vaccination strategies
  • Introduction to Health Economic Evaluation: Cost-Effectiveness Analysis (CEA)
  • Calculating DALYs (Disability-Adjusted Life Years) or QALYs (Quality-Adjusted Life Years) in the model context
  • Optimizing the vaccination schedule based on effectiveness and cost criteria
  • Practical session: Performing a basic Cost-Effectiveness Analysis to compare two different vaccination schedules

Module 9: Global Sensitivity and Uncertainty Analysis

  • Distinguishing between Parameter Uncertainty (input) and Model Uncertainty (structure)
  • Local vs. Global Sensitivity Analysis methods (e.g., Latin Hypercube Sampling, Partial Rank Correlation Coefficient)
  • Implementing sensitivity analysis in R to identify the most influential parameters
  • Visualizing uncertainty using prediction intervals from Monte Carlo simulation
  • Practical session: Conducting a comprehensive Global Sensitivity Analysis on the SEIR model to determine parameter influence on peak incidence

Module 10: Case Studies and Advanced Modeling in R

  • Detailed case study: Modeling a specific VPD (e.g., Measles or Rubella) with real data
  • Overview of advanced R modeling frameworks (e.g., pomp, specialized Bayesian packages)
  • Best practices for model validation, reporting, and publication
  • Ethical considerations and transparency in epidemiological modeling
  • Practical session: Reviewing and critically assessing a published VPD modeling study and replicating key findings in R

Requirements:

·       Participants should be reasonably proficient in English.

·       Applicants must live up to Armstrong Global Institute admission criteria.

Terms and Conditions

1. Discounts: Organizations sponsoring Four Participants will have the 5th attend Free

2. What is catered for by the Course Fees: Fees cater for all requirements for the training – Learning materials, Lunches, Teas, Snacks and Certification. All participants will additionally cater for their travel and accommodation expenses, visa application, insurance, and other personal expenses.

3. Certificate Awarded: Participants are awarded Certificates of Participation at the end of the training.

4. The program content shown here is for guidance purposes only. Our continuous course improvement process may lead to changes in topics and course structure.

5. Approval of Course: Our Programs are NITA Approved. Participating organizations can therefore claim reimbursement on fees paid in accordance with NITA Rules.

Booking for Training

Simply send an email to the Training Officer on training@armstrongglobalinstitute.com and we will send you a registration form. We advise you to book early to avoid missing a seat to this training.

Or call us on +254720272325 / +254725012095 / +254724452588

Payment Options

We provide 3 payment options, choose one for your convenience, and kindly make payments at least 5 days before the Training start date to reserve your seat:

1. Groups of 5 People and Above – Cheque Payments to: Armstrong Global Training & Development Center Limited should be paid in advance, 5 days to the training.

2. Invoice: We can send a bill directly to you or your company.

3. Deposit directly into Bank Account (Account details provided upon request)

Cancellation Policy

1. Payment for all courses includes a registration fee, which is non-refundable, and equals 15% of the total sum of the course fee.

2. Participants may cancel attendance 14 days or more prior to the training commencement date.

3. No refunds will be made 14 days or less before the training commencement date. However, participants who are unable to attend may opt to attend a similar training course at a later date or send a substitute participant provided the participation criteria have been met.

Tailor Made Courses

This training course can also be customized for your institution upon request for a minimum of 5 participants. You can have it conducted at our Training Centre or at a convenient location. For further inquiries, please contact us on Tel: +254720272325 / +254725012095 / +254724452588 or Email training@armstrongglobalinstitute.com

Accommodation and Airport Transfer

Accommodation and Airport Transfer is arranged upon request and at extra cost. For reservations contact the Training Officer on Email: training@armstrongglobalinstitute.com or on Tel: +254720272325 / +254725012095 / +254724452588

Instructor-led Training Schedule

Course Dates Venue Fees Enroll
Dec 01 - Dec 05 2025 Nanyuki $1,500
Jan 26 - Jan 30 2026 Pretoria $4,500
Feb 16 - Feb 20 2026 Mombasa $1,500
Apr 06 - May 08 2026 Nairobi $1,500
Feb 02 - Feb 06 2026 Kigali $2,500
Feb 09 - Feb 13 2026 Johannesburg $4,500
Apr 06 - Apr 10 2026 Addis Ababa $4,500
Apr 13 - Apr 17 2026 Cape Town $4,500
Mar 23 - Mar 27 2026 Accra $4,500
May 04 - May 08 2026 Marrakesh $4,500
Mar 16 - Mar 20 2026 Dubai $5,000
May 11 - May 15 2026 Riyadh $5,000
May 18 - May 22 2026 Doha $5,000
Apr 20 - Apr 24 2026 Tokyo $8,000
May 18 - May 22 2026 Seoul $8,000
May 11 - May 15 2026 Kuala Lumpur $8,000
Jul 06 - Jul 10 2026 London $6,500
Apr 20 - Apr 24 2026 Paris $6,500
Apr 13 - Apr 17 2026 Geneva $6,500
Mar 30 - Apr 03 2026 Berlin $6,500
May 04 - May 08 2026 Zurich $6,500
Jun 01 - Jun 05 2026 New York $6,950
Jul 06 - Jul 10 2026 Los Angeles $6,950
Jun 01 - Jun 05 2026 Washington DC $6,950
Apr 13 - Apr 17 2026 Toronto $7,000
Apr 13 - Apr 17 2026 Vancouver $7,000
Nov 24 - Nov 28 2025 Zoom $1,300

Self-Paced Online Course

Platform Price Access Duration Enroll
Online LMS $1,300 30 Days
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