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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.11246 |
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Table of Contents:
- This article explores the properties of an SEIR$^{\text{T}}$R$^{\text{P}}$D endemic model expressed through delay-differential equations with distributed delays for latency and temporary immunity. Our research delves into the variability of latent periods and immunity durations across diseases, in particular, we introduce a class of delays defined by continuous integral kernels with compact support. The main result of the paper is a kind of smoothening property which the solution function posesses under mild conditions of the system parameter functions. Also, boundedness and non-negativity is proved. Numerical simulations indicates that the continuous model can be approximated with a discrete lag endemic models. The study contributes to understanding infectious disease dynamics and provides insights into the numerical approximation of exact solution for different delay scenarios.