Bifurcation Analysis of a Dynamical Model for the Innate Immune Response to Initial Pulmonary Infections

DOI10.1142/S0218127420502521zbMath1460.37081OpenAlexW3117286107MaRDI QIDQ5148914

Jing Wen, Shigui Ruan, Shujing Shi, Ji-Cai Huang

Publication date: 5 February 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420502521

zbMATH Keywords

Hopf bifurcationcoexistenceBogdanov-Takens bifurcationmultistabilityCOVID-19pneumoniainnate immuneinitial infection

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Medical epidemiology (92C60)

Related Items (1)

Bifurcations in a dynamical model of the innate immune system response to initial pulmonary infection

Cites Work

• A low dimensional dynamical model of the initial pulmonary innate response to infection
• A simple model of pathogen-immune dynamics including specific and non-specific immunity
• On the interaction between the immune system and an exponentially replicating pathogen
• Mathematical model of a three-stage innate immune response to a pneumococcal lung infection
• Qualitative theory of planar differential systems
• A mathematical model of intrahost pneumococcal pneumonia infection dynamics in murine strains
• Early treatment gains for antibiotic administration and within human host time series data
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