Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/36675
Title: | Ebola epidemic model with dynamic population and memory |
Author: | Ndaïrou, Faïçal Khalighi, Moein Lahti, Leo |
Keywords: | Ebola model Basic reproduction ratio Fractional Ebola model Fractional derivatives Numerical simulations |
Issue Date: | 2023 |
Publisher: | Elsevier |
Abstract: | The recent outbreaks of Ebola encourage researchers to develop mathematical models for simulating the dynamics of Ebola transmission. We continue the study of the models focusing on those with a variable population. Hence, this paper presents a compartmental model consisting of 8-dimensional nonlinear dif- ferential equations with a dynamic population and investigates its basic reproduction number. Moreover, a dimensionless model is introduced for numerical analysis, thus proving the disease-free equilibrium is locally asymptotically stable whenever the threshold condition, known as a basic reproduction number, is less than one. Finally, we use a fractional differential form of the model to sufficiently fit long time-series data of Guinea, Liberia, and Sierra Leone retrieved from the World Health Organization, and the numerical results demonstrate the performance of the model. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/36675 |
DOI: | 10.1016/j.chaos.2023.113361 |
ISSN: | 0960-0779 |
Publisher Version: | https://doi.org/10.1016/j.chaos.2023.113361 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1-s2.0-S096007792300262X-main.pdf | 1.59 MB | Adobe PDF | View/Open |
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