Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Jozsef Zoltan Farkas"'
Publikováno v:
Infectious Disease Reports, Vol 13, Iss 90, Pp 978-992 (2021)
Infectious Disease Reports
Infectious Disease Reports; Volume 13; Issue 4; Pages: 978-992
Infectious Disease Reports
Infectious Disease Reports; Volume 13; Issue 4; Pages: 978-992
We introduce a system of differential equations to assess the impact of (self-)quarantine of symptomatic infectious individuals on disease dynamics. To this end we depart from using the classic bilinear infection process, but remain within the framew
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c0097267a1fef40b285a643235c9ecb
https://doi.org/10.3390/idr13040090
https://doi.org/10.3390/idr13040090
Autor:
Àngel Calsina, Jozsef Zoltan Farkas
In this work we establish conditions which guarantee the existence of (strictly) positive steady states of a nonlinear structured population model. In our framework, the steady state formulation amounts to recasting the nonlinear problem as a family
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::063bef0f0e3e30f62bd17988c4e52297
http://arxiv.org/abs/1902.10457
http://arxiv.org/abs/1902.10457
Publikováno v:
Journal of Mathematical Biology
Wolbachia is possibly the most studied reproductive parasite of arthropod species. It appears to be a promising candidate for biocontrol of some mosquito borne diseases. We begin by developing a sex-structured model for a Wolbachia infected mosquito
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6decbc94f4ae3a0875ee5ffa2f8cabe4
https://doi.org/10.1007/s00285-017-1096-7
https://doi.org/10.1007/s00285-017-1096-7
Publikováno v:
Mathematical Methods in the Applied Sciences. 39:5175-5191
In this work first we consider a physiologically structured population model with a distributed recruitment process. That is, our model allows newly recruited individuals to enter the population at all possible individual states, in principle. The mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4fc5e4ba203b69636d2b07710d91ca0
https://doi.org/10.1002/mma.3898
https://doi.org/10.1002/mma.3898
Publikováno v:
Math Biosci Eng
We quantify a recent five-category CT histogram based classification of ground glass opacities using a dynamic mathematical model for the spatial-temporal evolution of malignant nodules. Our mathematical model takes the form of a spatially structured
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51e8217a995105ceff7d205b862983a2
https://pubmed.ncbi.nlm.nih.gov/30380307
https://pubmed.ncbi.nlm.nih.gov/30380307
Publikováno v:
Journal of Mathematical Biology
Modelling evolution of virulence in host-parasite systems is an actively developing area of research with ever-growing literature. However, most of the existing studies overlook the fact that individuals within an infected population may have a varia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::801a1b552b39854ca9e4166f11509210
https://pubmed.ncbi.nlm.nih.gov/30972437
https://pubmed.ncbi.nlm.nih.gov/30972437
Publikováno v:
Bulletin of Mathematical Biology. 77:1886-1908
We employ partial integro-differential equations to model trophic interaction in a spatially extended heterogeneous environment. Compared to classical reaction-diffusion models, this framework allows us to more realistically describe the situation wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45cf46206a88199ddf4d370fc9e3c9a4
https://doi.org/10.1007/s11538-015-0108-2
https://doi.org/10.1007/s11538-015-0108-2
Autor:
Àngel Calsina, Jozsef Zoltan Farkas
Publikováno v:
SIAM Journal on Mathematical Analysis. 46:1406-1426
We study the question of existence of positive steady states of nonlinear evolution equations. We recast the steady state equation in the form of eigenvalue problems for a parametrised family of unbounded linear operators, which are generators of str
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29a6fb6a46e07d0f5dea94911b7ce1d3
https://doi.org/10.1137/130931199
https://doi.org/10.1137/130931199
Publikováno v:
Mathematical Biosciences. 240:70-75
We propose a hybrid dynamical system approach to model the evolution of a pathogen that experiences different selective pressures according to a stochastic process. In every environment, the evolution of the pathogen is described by a version of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6277c9d95f531de526293eaf056fc550
https://doi.org/10.1016/j.mbs.2012.06.004
https://doi.org/10.1016/j.mbs.2012.06.004
Autor:
Thomas Hagen, Jozsef Zoltan Farkas
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 9:249-266
In this work a size structured juvenile-adult population model is considered. The linearized dynamical behavior of stationary solutions is analyzed using semigroup and spectral methods. The regularity of the governing linear semigroup allows to deriv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00fd4f0be9b8742e9524785f2ef28b8b
https://doi.org/10.3934/dcdsb.2008.9.249
https://doi.org/10.3934/dcdsb.2008.9.249