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

Authors

  • Diène Ngom DГ©partement de MathГ©matiques, UniversitГ© Assane Seck de Ziguinchor, BP 523 Ziguinchor, Senegal, UMI 2019-IRD & UMMUSCO-UGB
  • Benjamin Ivorra Instituto de MatemГЎtica Interdisciplinar (IMI), Departamento de AnГЎlisis MatemГЎtico y MatemГЎtica Aplicada and MOMAT Research Group, Complutense University of Madrid, Plaza de Ciencias, 3, 28040, Madrid, Spain
  • Ángel M. Ramos Instituto de Matemática Interdisciplinar (IMI), Departamento de Análisis Matemático y Matemática Aplicada and MOMAT Research Group, Complutense University of Madrid, Plaza de Ciencias, 3, 28040, Madrid, Spain

DOI:

https://doi.org/10.11145/texts.2017.12.165

Abstract

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.

Author Biography

Diène Ngom, DГ©partement de MathГ©matiques, UniversitГ© Assane Seck de Ziguinchor, BP 523 Ziguinchor, Senegal, UMI 2019-IRD & UMMUSCO-UGB

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Published

2017-12-22

Issue

Mathematical Methods and Models in Biosciences

Section

Conference Proceedings

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