Periodicity and synchronization in blood-stage malaria infection

DOI10.1007/S00285-010-0381-5zbMath1311.92182OpenAlexW1979831890WikidataQ40343297 ScholiaQ40343297MaRDI QIDQ659040

Ying Su, Shigui Ruan, Junjie Wei

Publication date: 9 February 2012

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

Full work available at URL: https://doi.org/10.1007/s00285-010-0381-5

zbMATH Keywords

stabilityperiodic solutionHopf bifurcationsynchronizationmalariaage-structured model

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32)

Related Items (12)

Pattern dynamics of a delayed eco-epidemiological model with disease in the predator ⋮ Long-time behavior of a size-structured population model with diffusion and delayed birth process ⋮ Global analysis of a mathematical model on malaria with competitive strains and immune responses ⋮ A WITHIN HOST MODEL OF BLOOD STAGE MALARIA WITH TREATMENT ⋮ Long-Time Behavior of Spatially and Size-Structured Population Dynamics with Delayed Birth Process ⋮ Pattern dynamics of a spatial epidemic model with time delay ⋮ Bogdanov-Takens bifurcation in a predator-prey model ⋮ Effect of time delay on pattern dynamics in a spatial epidemic model ⋮ HOPF BIFURCATION IN AN AGE-DEPENDENT POPULATION MODEL WITH DELAYED BIRTH PROCESS ⋮ Hopf bifurcation in an age-structured population model with two delays ⋮ Hopf bifurcation for a spatially and age structured population dynamics model ⋮ Understanding dynamics of \textit{Plasmodium falciparum} gametocytes production: insights from an age-structured model

Cites Work

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• Hopf bifurcation for non-densely defined Cauchy problems
• Semiflows generated by Lipschitz perturbations of non-densely defined operators
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• On semilinear Cauchy problems with non-dense domain
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• The within-host dynamics of malaria infection with immune response
• Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems
• Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups
• Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
• One-Parameter Semigroups for Linear Evolution Equations

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