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September 10, 2025Deleted Journal

Dynamics of an Infectious Disease Model with Transmission Delay from Recovery to Susceptibility

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This analysis shows local and global stability of an infectious disease model with transmission delay, highlighting the impact of vaccination.

The model reveals dynamic behavior influenced by a transmission delay affecting recovery and susceptibility.
Global stability is established using Lyapunov’s method, which strengthens the model's reliability in real scenarios.
Local stability conditions are derived from the basic reproduction number, providing essential insights into disease control.
A numerical example illustrates how variations in the delay influence the system dynamics and disease spread.

G. Shailaja (2024) studied this question.

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This analysis shows local and global stability of an infectious disease model with transmission delay, highlighting the impact of vaccination.