Hopf bifurcation analysis of a new SEIRS epidemic model with nonlinear incidence rate and nonpermanent immunity

DOI10.1155/2018/1467235zbMath1470.92325OpenAlexW2787395922MaRDI QIDQ1751307

M. P. Markakis, P. S. Douris

Publication date: 25 May 2018

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

Full work available at URL: https://doi.org/10.1155/2018/1467235

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Qualitative analyses of communicable disease models
• Criterion of Hopf bifurcations without using eigenvalues
• The loss of immunity in directly transmitted infection modeling: effects on the epidemiological parameters.
• On the computation of degenerate Hopf bifurcations for \(n\)-dimensional multiparameter vector fields
• Elements of applied bifurcation theory

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