Complex dynamics in a unified SIR and HIV disease model: a bifurcation theory approach

DOI10.1007/s00332-019-09550-7zbMath1426.34064OpenAlexW2942914905MaRDI QIDQ2327838

Wenjing Zhang, Pei Yu

Publication date: 8 October 2019

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-019-09550-7

zbMATH Keywords

stabilitylimit cycleHopf bifurcationhomoclinic orbitBogdanov-Takens bifurcationsimplest normal formrecurrent infectionunified SIR and HIV disease model

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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