scientific article

zbMath1331.34085MaRDI QIDQ3459385

Uma S. Dubey, Preeti Dubey, Balram Dubey

Publication date: 23 December 2015

Full work available at URL: https://www.pvamu.edu/sites/mathematics/journal/aam/2015/vol-10-issue-2/05_Dubey_AAM_R833_BD_070815_Edited_JV_R.pdf

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zbMATH Keywords

limit cycleHopf bifurcationSIR modelcentral manifold theorynext generation matrix methodBeddington-DeAngelis type nonlinear incidence rate

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Invariant manifolds for ordinary differential equations (34C45)

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