#Bifurcation fingerprint verification#

The basic reinfection number with the basic reproduction number together gives a complete measure for disease control whenever reinfections (or relapses) matter.

#Bifurcation fingerprint verification#

Fingerprint verification is used to verify the authenticity of one person with one to one 1. Fingerprint Dive into the research topics of A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history strategies. If the basic reinfection number is greater than one, the bifurcation is backward. Fingerprint recognition Keywords is mainly divided in two sub-parts: one is verification system Ridges-ending minutiae points, bifurcation minutiae points. We prove bifurcation theorems for evolutionary game theoretic (Darwinian dynamic) versions of nonlinear matrix equations for structured population dynamics. This number characterizes the type of bifurcation when the basic reproduction number is equal to one. To measure the reinfection forces, this paper defines a second threshold: the basic reinfection number. Causes for this phenomenon include exogenous reinfection, super-infection, relapse, vaccination exercises, heterogeneity among subpopulations, etc. We formulate the basic reinfection number for a variety of epidemiological models.ДЄB - Some epidemiological models exhibit bi-stable dynamics even when the basic reproduction number R0 is below 1, through a phenomenon known as a backward bifurcation. If the basic reinfection number is greater than one, the bifurcation is backward.

N2 - Some epidemiological models exhibit bi-stable dynamics even when the basic reproduction number R0 is below 1, through a phenomenon known as a backward bifurcation. N1 - Publisher Copyright: В© 2021 American Institute of Mathematical Sciences. The calculations are performed in the setting of variable index of refraction, in which the onset of focusing appears as a supercritical bifurcation of a novel type of mixed Hamiltonian-dissipative dynamical system (reminiscent, to some extent, of a pitchfork bifurcation).T1 - Basic reinfection number and backward bifurcation The steady states are subsequently obtained and their linear stability is numerically examined. As a result, identifying the focusing self-similar solution becomes a steady-state problem. We revisit here the problem of self-similar focusing of waves in the case of the focusing NLS equation through the prism of a template-based dynamic renormalization technique that factors out self-similarity and yields a bifurcation view of the onset of focusing. The calculations are performed in the setting of variable index of refraction, in which the onset of focusing appears as a supercritical bifurcation of a novel type of mixed Hamiltonian-dissipative dynamical system (reminiscent, to some extent, of a pitchfork bifurcation).ДЄB - The nonlinear SchrГ¶dinger (NLS) equation is a ubiquitous example of an envelope wave equation for conservative, dispersive systems. Detailed description of fingerprint minutiae will be given in the next section. Collectively, these features are called minutiae. More Answers (0) Sign in to answer this question. A ridge bifurcation is defined as the point where a ridge forks or diverges into branch ridges. Skeletonize your binary image with bwmorph ('skel') then use bwmorph ('endpoints') and bwmorph ('branchpoints') to find the end points and branch points (bifurcations). We revisit here the problem of self-similar focusing of waves in the case of the focusing NLS equation through the prism of a template-based dynamic renormalization technique that factors out self-similarity and yields a bifurcation view of the onset of focusing. A ridge ending is defined as the point where a ridge ends abruptly. N2 - The nonlinear SchrГ¶dinger (NLS) equation is a ubiquitous example of an envelope wave equation for conservative, dispersive systems.

T2 - A renormalization/bifurcation approach