On global stability of the intra-host dynamics of malaria and the immune system

DOI10.1016/j.jmaa.2007.10.035zbMath1132.92010OpenAlexW1999618412MaRDI QIDQ2480320

Julius Tumwiine, Joseph Y. T. Mugisha, Livingstone S. Luboobi

Publication date: 31 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.10.035

zbMATH Keywords

immune responsereproduction numbermalaria parasites

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)

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Cites Work

• An integrated model of \textit{Plasmodium falciparum} dynamics
• Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems
• Compound matrices and ordinary differential equations
• Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
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