Oscillations in an intra-host model of Plasmodium falciparum malaria due to cross-reactive immune response

DOI10.1007/s11538-009-9462-2zbMath1189.92054OpenAlexW2170093147WikidataQ47916718 ScholiaQ47916718MaRDI QIDQ977677

Thomas W. Carr, Jonathan L. Mitchell

Publication date: 23 June 2010

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-009-9462-2

zbMATH Keywords

delays

Mathematics Subject Classification ID

Related Items (17)

Equivariant Hopf bifurcation in a time-delayed ring of antigenic variants ⋮ Global analysis of a mathematical model on malaria with competitive strains and immune responses ⋮ Modelling intra-host competition between malaria parasites strains ⋮ Delay-periodic solutions and their stability using averaging in delay-differential equations, with applications ⋮ Symmetry breaking in a model of antigenic variation with immune delay ⋮ The effects of symmetry on the dynamics of antigenic variation ⋮ Mathematical analysis of a general class of ordinary differential equations coming from within-hosts models of malaria with immune effectors ⋮ Absolute stability and Hopf bifurcation in a \textit{Plasmodium falciparum} malaria model incorporating discrete immune response delay ⋮ Periodic pulsating dynamics of slow–fast delayed systems with a period close to the delay ⋮ Instability of disease-free equilibrium in a model of malaria with immune delay ⋮ Periodicity and synchronization in blood-stage malaria infection ⋮ Simplified Liénard equation by homotopy analysis method ⋮ Synchronous versus asynchronous oscillations for antigenically varyingPlasmodium falciparumwith host immune response ⋮ Codimension one and two bifurcations in a symmetrical ring network with delay ⋮ On the stability and Hopf bifurcation of the non-zero uniform endemic equilibrium of a time-delayed malaria model ⋮ SYNCHRONY-BREAKING HOPF BIFURCATION IN A MODEL OF ANTIGENIC VARIATION ⋮ Understanding dynamics of \textit{Plasmodium falciparum} gametocytes production: insights from an age-structured model

Uses Software

• DDE-BIFTOOL
• dde23

Cites Work

• Unnamed Item
• Conflicting immune responses can prolong the length of infection in Plasmodium falciparum malaria
• Stability and bifurcations in a model of antigenic variation in malaria
• An SIR epidemic model with partial temporary immunity modeled with delay
• Bi-instability and the global role of unstable resonant orbits in a driven laser
• The onset of oscillatory dynamics in models of multiple disease strains
• Multiple scale and singular perturbation methods
• Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle
• Immune response to a malaria infection: properties of a mathematical model
• Delayed‐Mutual Coupling Dynamics of Lasers: Scaling Laws and Resonances
• Solving DDEs in Matlab

This page was built for publication: Oscillations in an intra-host model of Plasmodium falciparum malaria due to cross-reactive immune response