1.Course Background & Purposes

Mathematical modeling can play an important role in the understanding of mechanisms in biological systems. Motivated by this, we intend to introduce mathematicalmodels of Infectious Disease Transmission. Theory of monotone systems has been successfully used to investigate the global dynamics of Infectious Disease models.

Thus, we will provide a brief introduction to monotone systems in this course. We will also discuss how the fitting of the developed models into experimental data of Infectious Disease can be used to validate the models and estimate model parameters. Besides, the interesting topic about Machine Learning Approaches into Models for Disease Control will also be introduced in this summer course.

2.Course Outline & Descriptions

Lecture-1:

Mathematical Models of Infectious Disease Transmission
Speaker: Naveen K. Vaidya (SanDiegoStateUniversity)
Time: 10:00-12:00, July 24, 2026
Abstract:
In this lecture, we will discuss methods for developing mathematical models to describe the transmission dynamics of infectious diseases. We will cover the diseases transmitted directly, through vectors, and via the environment. We will also show how to formulate reproduction numbers from the developed models.

Lecture-2:

Theoretical Model Analysis and Disease Spread Criterion
Speaker: Feng-Bin Wang (ChangGungUniversity)
Time: 14:00-16:00, July 24, 2026
Abstract:
In this lecture, we will present various theoretical techniques for analyzing developed models. Focus will be on establishing threshold criteria for the extinction or persistence of diseases. We will discuss how the global dynamical properties identified by theoretical analysis can be applied to disease control.

Lecture-3:

Data-Informed Phenomena into Disease Models
Speaker: Naveen K. Vaidya (SanDiegoStateUniversity)
Time: 10:00-12:00, July 27, 2026
Abstract:
In this lecture, we will present the computational methods for incorporating real data into the developed models to estimate critical model parameters and threshold values for disease spread. We will also discuss the methods for quantifying uncertainty in data-informed models.

Lecture-4:

Machine Learning Approaches into Models for Disease Control
Speaker: Naveen K. Vaidya (SanDiegoStateUniversity)
Time: 14:00-16:00, July 27, 2026
Abstract:
In this lecture, we will discuss machine learning methods that can be used for data refinement, model simulations, and parameter optimization. The methods will be applied to real data and models of infectious diseases.

3. Registration

https://forms.gle/UHJAkg8B92Zs6NZK6