On global stability analysis for SEIRS models in epidemiology with nonlinear incidence rate function

DOI10.1142/S179352451750019XzbMath1355.92136OpenAlexW2461165626MaRDI QIDQ2962391

Xiu-xiang Yang, Liang Zhang, Li-Fei Zheng

Publication date: 16 February 2017

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179352451750019x

zbMATH Keywords

global stabilitythresholdequilibrium pointexposednonlinear infectious rate

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20)

Related Items (3)

The global dynamics for a stochastic SIS epidemic model with isolation ⋮ A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model ⋮ The global stability and optimal control of the COVID-19 epidemic model

Cites Work

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• Some epidemiological models with nonlinear incidence
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Some examples of persistence in epidemiological models
• Global dynamics of a SEIR model with varying total population size
• Dynamics of differential equations on invariant manifolds
• Dulac criteria for autonomous systems having an invariant affine manifold
• Global analysis of an epidemic model with nonmonotone incidence rate
• A Geometric Approach to Global-Stability Problems

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