Qualitative analysis for a mathematical model of AIDS

DOI10.1007/BF02005919zbMath0790.92019OpenAlexW2072854864MaRDI QIDQ1319151

Zhu-jun Jing, Zheng-Rong Liu

Publication date: 22 June 1994

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02005919

zbMATH Keywords

Hopf bifurcationtranscritical bifurcationcharacteristic equationexistence of equilibrialocal stability of equilibriamodel of AIDSRouth-Hurwitz stability condition

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Stability theory for ordinary differential equations (34D99)

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A new detecting method for conditions of existence of Hopf bifurcation ⋮ La aplicación simultanea de intervenciones de control puede llevar a escenarios catastróficos para la población ⋮ Bifurcation control analysis based on continuum model with lateral offset compensation ⋮ Neural network firing-rate models on integral form ⋮ The stochastic Hopf bifurcation analysis in Brusselator system with random parameter ⋮ Hopf bifurcation in models for pertussis epidemiology. ⋮ Effects of quarantine in six endemic models for infectious diseases

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Epidemiological models for sexually transmitted diseases
• Applications of centre manifold theory
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
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