Stability analysis of a compartmental SEIHRD model for the Ebola virus disease | Zendy

Diéne Ngom | Zendy; Benjamín Ivorra | Zendy; Ángel Ramos | Zendy

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Stability analysis of a compartmental SEIHRD model for the Ebola virus disease

Author(s) -

Diéne Ngom,

Benjamín Ivorra,

Ángel Ramos

Publication year - 2017

Publication title -

texts in biomathematics

Language(s) - English

Resource type - Journals

eISSN - 2603-3046

pISSN - 2603-3038

DOI - 10.11145/texts.2017.12.165

Subject(s) - ebola virus , stability (learning theory) , basic reproduction number , disease , work (physics) , computer science , virology , econometrics , mathematics , biology , virus , demography , medicine , machine learning , population , engineering , sociology , mechanical engineering , pathology

In this work, we perform a stability analysis of a compartmental SEIHRD model. This model is a simplified version of a previous approach. In this previous work, we proposed an original deterministic spatial-temporal model, called Be-CoDiS (Between-Countries Disease Spread), to study the evolution of human diseases within and between countries. This model was validated by considering data from the 2014-16 West African Ebola Virus Disease epidemic. Here, considering some simplification assumptions in Be-CODIS, our goal is to study the equilibria of the model and their stability using the basic reproduction ratio as a threshold parameter. Finally, we validate the obtained results by considering some numerical experiments based on data from the 2014-16 West African Ebola Virus Disease epidemic.

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