Hopf bifurcation of nonlinear incidence rates SIR epidemiological models with stage structure

DOI10.1016/S1007-5704(01)90015-2zbMath1009.34065MaRDI QIDQ1599227

Xianning Liu, Zhonghua Lu, Lan-Sun Chen

Publication date: 1 May 2003

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsHopf bifurcationendemic equilibriumSIR epidemiological modeldisense-free equilibrium

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

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• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Qualitative behavior of stage-structured populations: Application to structural validation
• The effect of dispersal on population growth with stage-structure