Stability analysis of a schistosomiasis model with delays

DOI10.1186/1687-1847-2013-303zbMath1391.92049OpenAlexW2103318972WikidataQ59295101 ScholiaQ59295101MaRDI QIDQ1653189

Ali Traore, Aboudramane Guiro, Stanislas Ouaro

Publication date: 17 July 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-303

zbMATH Keywords

Lyapunov functionglobal stabilitymathematical modeldelaysreproduction numberschistosomiasis

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Global stability of solutions to ordinary differential equations (34D23) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland regions of China ⋮ A stochastic vector-borne epidemic model: quasi-stationarity and extinction ⋮ The effect of time delays on transmission dynamics of schistosomiasis ⋮ Unnamed Item ⋮ Prevalence-based modeling approach of schistosomiasis: global stability analysis and integrated control assessment ⋮ Mathematical modeling and analysis of transmission dynamics and control of schistosomiasis ⋮ GLOBAL DYNAMICS OF A SEASONAL MATHEMATICAL MODEL OF SCHISTOSOMIASIS TRANSMISSION WITH GENERAL INCIDENCE FUNCTION ⋮ Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-19 ⋮ Analysis of schistosomiasis global dynamics with general incidence functions and two delays

Cites Work

• A mathematical model with delays for schistosomiasis japonicum transmission
• Schistosomiasis models with two migrating human groups
• A hybrid model of schistosomiasis with snail latency
• Introduction to functional differential equations
• Schistosomiasis models with density dependence and age of infection in snail dynamics
• Estimation of parameters governing the transmission dynamics of schistosomes.
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
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