Hopf bifurcation for a model of HIV infection of T cells with virus released delay.
Hopf bifurcation for simple food chain model with delay.
Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays.
Horseshoe in a class of planar mappings.
Host Factors in Viral Life Cycles
Viruses are obligate intracellular parasites that rely on the host cell for expansion. With the development of global analyses techniques like transcriptomics, proteomics and siRNA library screening of complete cellular gene sets, a large range of host cell factors have been discovered that either support or restrict virus growth. Here we summarize some of the recent findings and focus our discussion on the hepatitis C virus and the human immunodeficiency...
Hotelling test for highly correlated data
How and why do neurons generate complex rhythms with various frequencies?
How hyperpolarization and the recovery of excitability affect propagation through a virtual anode in the heart.
Human Immunodeficiency Virus Infection : from Biological Observations to Mechanistic Mathematical Modelling
HIV infection is multi-faceted and a multi-step process. The virus-induced pathogenic mechanisms are manifold and mediated through a range of positive and negative feedback regulations of immune and physiological processes engaged in virus-host interactions. The fundamental questions towards understanding the pathogenesis of HIV infection are now shifting to ‘dynamic’ categories: (i) why is the HIV-immune response equilibrium finally disrupted? (ii)...
Hybrid matrix models and their population dynamic consequences
In this paper, the main purpose is to reveal what kind of qualitative dynamical changes a continuous age-structured model may undergo as continuous reproduction is replaced with an annual birth pulse. Using the discrete dynamical system determined by the stroboscopic map we obtain an exact periodic solution of system with density-dependent fertility and obtain the threshold conditions for its stability. We also present formal proofs of the supercritical flip bifurcation at the bifurcation as well...
Hybrid matrix models and their population dynamic consequences
In this paper, the main purpose is to reveal what kind of qualitative dynamical changes a continuous age-structured model may undergo as continuous reproduction is replaced with an annual birth pulse. Using the discrete dynamical system determined by the stroboscopic map we obtain an exact periodic solution of system with density-dependent fertility and obtain the threshold conditions for its stability. We also present formal proofs of the supercritical flip bifurcation at the bifurcation as...
Hybrid Taguchi-differential evolution algorithm for parameter estimation of differential equation models with application to HIV dynamics.
Hydrodynamic flow between rotating eccentric cylinders with suction at the porous walls.
Hyperenergetic and Hypoenergetic Graphs