Global stability of an epidemic model with stage structure and nonlinear incidence rates in a heterogeneous host population

DOI10.1186/s13662-015-0594-4zbMath1422.92169OpenAlexW1879209320WikidataQ59434521 ScholiaQ59434521MaRDI QIDQ1721892

Ning Chen, Yunguo Jin, Baodan Tian, Shou-ming Zhong

Publication date: 13 February 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-015-0594-4

zbMATH Keywords

Lyapunov functionstage structureepidemic modelnonlinear incidence rateheterogeneous host

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) 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)

Related Items (4)

Modeling the dynamics of multi-cluster information propagation in presence of time delay ⋮ Global dynamics for a novel differential infectivity epidemic model with stage structure ⋮ Modelling and analysis of global resurgence of mumps: a multi-group epidemic model with asymptomatic infection, general vaccinated and exposed distributions ⋮ Impact of predator on the host-vector disease model with stage structure for the vector

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