Structured mathematical models to investigate the interactions between Plasmodium falciparum malaria parasites and host immune response

DOI10.1016/J.MBS.2019.02.005zbMath1425.92190OpenAlexW2914190259WikidataQ91622922 ScholiaQ91622922MaRDI QIDQ2328374

Jack Warner, Chuan Li, Baoling Ma

Publication date: 10 October 2019

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2019.02.005

zbMATH Keywords

finite difference schemeerythropoiesismalariastructured population modelsimmune cellsantibodiesdrug treatmentsevere infection\textit{Plasmodium falciparum}

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (4)

Stability analysis of an online social network model ⋮ Unnamed Item ⋮ Human-vector malaria transmission model structured by age, time since infection and waning immunity ⋮ A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution

Cites Work

• Unnamed Item
• A theoretical mathematical assessment of the effectiveness of coartemether in the treatment of \textit{Plasmodium falciparum} malaria infection
• A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate
• Modelling immune response and drug therapy in human malaria infection
• Modeling erythropoiesis subject to malaria infection
• A second-order high resolution finite difference scheme for a structured erythropoiesis model subject to malaria infection
• On global stability of the intra-host dynamics of malaria and the immune system
• An age-structured mathematical model for the within host dynamics of malaria and the immune system
• Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle
• Immune response to a malaria infection: properties of a mathematical model

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