Mathematical Modelling of Infectious Diseases using Delay Differential Equations

• Main Author: Macalalag, Jay Michael
• Format: text
• Published: Archīum Ateneo 2019
• Subjects: Lyapunov functional, LaSalle’s Invariance Principle, local stability, global stability, Hopf bifurcation, delay differential equation, tuberculosis, dengue, HIV/AIDS
• Online Access: https://archium.ateneo.edu/theses-dissertations/447
• Institution: Ateneo De Manila University

This paper introduces compartmental models with time delays for the transmis- sion of tuberculosis, dengue, and human immunodeficiency virus (HIV)/acquired im- munodeficiency syndrome (AIDS). A Susceptible-Exposed-Infectious-Treated (SEIT) compartmental model for tuberculosis transmission, with the...