A cholera mathematical model with vaccination and the biggest outbreak of world's history

DOI10.3934/Math.2018.4.448zbMath1429.34054arXiv1810.05823MaRDI QIDQ2335289

Cristiana J. Silva, Ana P. Lemos-Paião, Delfim F. M. Torres

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05823

zbMATH Keywords

mathematical modelinglocal asymptotic stabilitySITRVB cholera modelvaccination treatmentYemen cholera outbreak

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

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Cites Work

• An epidemic model for cholera with optimal control treatment
• Modeling optimal intervention strategies for cholera
• Modelling and analysis of the effects of malnutrition in the spread of cholera
• Influence of diffusion on the stability of equilibria in a reaction-diffusion system modeling cholera dynamic
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Dynamics of indirectly transmitted infectious diseases with immunological threshold
• Applications of centre manifold theory
• Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Cholera models with hyperinfectivity and temporary immunity
• Optimal control for a tuberculosis model with reinfection and post-exposure interventions
• The Mathematics of Infectious Diseases

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