What question did this study set out to answer?

To explore the dynamics of measles transmission using a delayed SEIR epidemic model.

May 29, 2026Journal of MathematicsOpen Access

An Efficient Numerical Study of Measles Transmission Dynamics With Time Delay

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Numerical study investigates measles transmission dynamics using a delayed SEIR model, highlighting system behavior.

To explore the dynamics of measles transmission using a delayed SEIR epidemic model.
Formulated a delayed SEIR-type model including susceptible, exposed, infectious, and recovered compartments.
Derived an explicit expression for the basic reproduction number R0 and analyzed the stability of equilibria.
Utilized numerical methods including Euler, Runge-Kutta, and nonstandard finite difference schemes to approximate model behavior.
The NSFD scheme achieved consistency with the continuous model, preserving qualitative properties such as positivity and boundedness.
Numerical simulations indicated significant influence of time delay on the epidemic dynamics.
Analysis showed local and global stability of disease-free and endemic equilibria in the presence of delay.

Raza et al. (2026) studied this question.

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