12 research outputs found
Dynamics of an SIRWS model with waning of immunity and varying immune boosting period
SIRS models capture transmission dynamics of infectious diseases for which
immunity is not lifelong. Extending these models by a W compartment for
individuals with waning immunity, the boosting of the immune system upon
repeated exposure may be incorporated. Previous analyses assumed identical
waning rates from R to W and from W to S. This implicitly assumes equal length
for the period of full immunity and of waned immunity. We relax this
restriction, and allow an asymmetric partitioning of the total immune period.
Stability switches of the endemic equilibrium are investigated with a
combination of analytic and numerical tools. Then, continuation methods are
applied to track bifurcations along the equilibrium branch. We find rich
dynamics: Hopf bifurcations, endemic double bubbles, and regions of
bistability. Our results highlight that the length of the period in which
waning immunity can be boosted is a crucial parameter significantly influencing
long term epidemiological dynamics
Complex bifurcation structures in SIRWS and SIRWJS models of pertussis with asymmetric partition of immunity period
Complex bifurcation structures in SIRWS and SIRWJS models of pertussis with asymmetric partition of immunity perio
Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits : A bifurcation analysis
Altres ajuts: CERCA Programme/Generalitat de CatalunyaWe investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under which the wild-type and mutant viruses, which compete for the same host cells, can coexist. The coexistence conditions are formulated in terms of the basic reproductive numbers of the strains, a maximum value of the mutation rate and the virulence of the pathogens. The analysis reveals that parameter space can be divided into five regions, each with distinct dynamics, that are organized around degenerate Bogdanov-Takens and zero- Hopf bifurcations, the latter of which gives rise to a curve of transcritical bifurcations of periodic orbits. These results provide new insights into the conditions by which viral populations may contain multiple coexisting strains in a stable manner
International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts
The present volume on Mathematical Analysis and Applications in Science and Engineering - Book of
Extended Abstracts of the ICMASC’2022 collects the extended abstracts of the talks presented at the
International Conference on Mathematical Analysis and Applications in Science and Engineering –
ICMA2SC'22 that took place at the beautiful city of Porto, Portugal, in June 27th-June 29th 2022 (3 days).
Its aim was to bring together researchers in every discipline of applied mathematics, science, engineering,
industry, and technology, to discuss the development of new mathematical models, theories, and
applications that contribute to the advancement of scientific knowledge and practice. Authors proposed
research in topics including partial and ordinary differential equations, integer and fractional order
equations, linear algebra, numerical analysis, operations research, discrete mathematics, optimization,
control, probability, computational mathematics, amongst others.
The conference was designed to maximize the involvement of all participants and will present the state-of-
the-art research and the latest achievements.info:eu-repo/semantics/publishedVersio
MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications
Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described
Generalized averaged Gaussian quadrature and applications
A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal