Absolute stability and Hopf bifurcation in a \textit{Plasmodium falciparum} malaria model incorporating discrete immune response delay
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Publication:2434433
DOI10.1016/j.mbs.2013.02.010zbMath1310.92034OpenAlexW2011296558WikidataQ43907486 ScholiaQ43907486MaRDI QIDQ2434433
Publication date: 5 February 2014
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2013.02.010
absolute stabilityHopf bifurcationdelay differential equationscharacteristic equationmalariadiscrete delay
Related Items (7)
Equivariant Hopf bifurcation in a time-delayed ring of antigenic variants ⋮ Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells ⋮ Instability of disease-free equilibrium in a model of malaria with immune delay ⋮ Hopf bifurcation of a delayed chemostat model with general monotone response functions ⋮ Mathematical model of malaria transmission dynamics with distributed delay and a wide class of nonlinear incidence rates ⋮ On the stability and Hopf bifurcation of the non-zero uniform endemic equilibrium of a time-delayed malaria model ⋮ Analysis of schistosomiasis global dynamics with general incidence functions and two delays
Cites Work
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- Conflicting immune responses can prolong the length of infection in Plasmodium falciparum malaria
- Oscillations in an intra-host model of Plasmodium falciparum malaria due to cross-reactive immune response
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Synchronous versus asynchronous oscillations for antigenically varyingPlasmodium falciparumwith host immune response
- Immune response to a malaria infection: properties of a mathematical model
- A Generalization of a Theorem of Bôcher
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