Abstract
In this paper we consider an age-structured epidemic model of the susceptible-exposed-infectious-recovered (SEIR) type. To characterize the seasonality of some infectious diseases such as measles, it is assumed that the infection rate is time periodic. After establishing the well-posedness of the initial-boundary value problem, we study existence of time periodic solutions of the model by using a fixed point theorem. Some numerical simulations are presented to illustrate the obtained results.
Original language | English (US) |
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Pages (from-to) | 4955-4972 |
Number of pages | 18 |
Journal | Communications on Pure and Applied Analysis |
Volume | 19 |
Issue number | 10 |
DOIs | |
State | Published - Oct 2020 |
Keywords
- Age-structure
- Basic reproduction number
- Periodic solution
- SEIR epidemic model
- Vaccination
ASJC Scopus subject areas
- Analysis
- Applied Mathematics