\textit{Shigellosis} dynamics: modelling the effects of treatment, sanitation, and education in the presence of carriers

DOI10.1155/2020/3476458zbMath1485.92123OpenAlexW3046490729MaRDI QIDQ2205132

Stephen Edward, Nyimvua Shaban, Eunice W. Mureithi

Publication date: 20 October 2020

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/3476458

zbMATH Keywords

Lyapunov functiondifferential equationsglobal dynamicsepidemic modelShigellosis

Mathematics Subject Classification ID

Epidemiology (92D30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (1)

Optimal control of shigellosis with cost-effective strategies

Cites Work

• Global properties of basic virus dynamics models
• Multiple transmission pathways and disease dynamics in a waterborne pathogen model
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Analysis and optimal control intervention strategies of a waterborne disease model: a realistic case study
• Parameter estimation and sensitivity analysis of dysentery diarrhea epidemic model
• A methodology for performing global uncertainty and sensitivity analysis in systems biology
• Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
• Global properties of infectious disease models with nonlinear incidence

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