Zobrazeno 1 - 10
of 41
pro vyhledávání: '"E M, Church"'
Publikováno v:
Journal of Biological Dynamics, Vol 18, Iss 1 (2024)
ABSTRACTThroughout the last two centuries, vaccines have been helpful in mitigating numerous epidemic diseases. However, vaccine hesitancy has been identified as a substantial obstacle in healthcare management. We examined the epidemiological dynamic
Externí odkaz:
https://doaj.org/article/5264d379088c401e92850897721683d0
Autor:
Xinzhi Liu, Kevin E. M. Church
Publikováno v:
IEEE Transactions on Automatic Control. 66:5997-6002
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e6c1f744ce5583b37b213d3f430a38e
https://doi.org/10.1109/tac.2021.3057988
https://doi.org/10.1109/tac.2021.3057988
Autor:
Kevin E. M. Church
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 20:745-783
Moving averages and other functional forecasting models are used to inform policy in pandemic response. In this paper, we analyze an infectious disease model in which the contact rate switches betw...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7c142450906f73d7746f998febf2c22
https://doi.org/10.1137/20m1366125
https://doi.org/10.1137/20m1366125
We consider spatially homogeneous Ho\v{r}ava-Lifshitz (HL) models that perturb General Relativity (GR) by a parameter $v\in (0,1)$ such that GR occurs at $v=1/2$. We describe the dynamics for the extremal case $v=0$, which possess the usual Bianchi h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78e9ea20b09a76081b9073401fbd16c8
http://arxiv.org/abs/2203.03763
http://arxiv.org/abs/2203.03763
Autor:
Kevin E. M. Church
Publikováno v:
Journal of Dynamics and Differential Equations. 33:2173-2252
We develop validated numerical methods for the computation of Floquet multipliers of equilibria and periodic solutions of delay differential equations, as well as impulsive delay differential equations. Using our methods, one can rigorously count the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef0d67ff1c937c573619fc9dd8da1abb
https://doi.org/10.1007/s10884-020-09900-0
https://doi.org/10.1007/s10884-020-09900-0
Autor:
Xinzhi Liu, Kevin E. M. Church
Publikováno v:
Nonlinear Analysis: Real World Applications. 50:240-266
A time-delayed SIR model with general nonlinear incidence rate, pulse vaccination and temporary immunity is developed. The basic reproduction number is derived and it is shown that the disease-free periodic solution generically undergoes a transcriti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7773695182a207b103eca9ce6f9001c
https://doi.org/10.1016/j.nonrwa.2019.04.015
https://doi.org/10.1016/j.nonrwa.2019.04.015
Autor:
Kevin E. M. Church, Xinzhi Liu
Publikováno v:
Journal of Differential Equations. 267:3852-3921
Based on the centre manifold theorem for impulsive delay differential equations, we derive impulsive evolution equations and boundary conditions associated to a concrete representation of the centre manifold in Euclidean space, as well as finite-dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fdb23c6854def4028850acea717ab3c
https://doi.org/10.1016/j.jde.2019.04.022
https://doi.org/10.1016/j.jde.2019.04.022
Autor:
Xinzhi Liu, Kevin E. M. Church
Publikováno v:
SIAM Journal on Control and Optimization. 57:2240-2268
A novel technique of robust stabilization and bifurcation suppression is proposed. The proposed method, the center probe method, stabilizes an equilibrium point of a delay differential equation at ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b73a03cc8d47ff4d8978778ff25c4ab
https://doi.org/10.1137/18m1213142
https://doi.org/10.1137/18m1213142
Autor:
Kevin E. M. Church, Xinzhi Liu
Publikováno v:
IFSR International Series in Systems Science and Systems Engineering ISBN: 9783030645328
IFSR International Series in Systems Science and Systems Engineering
IFSR International Series in Systems Science and Systems Engineering
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c44e25e6e4ae692b9cc55545f1c3620c
https://doi.org/10.1007/978-3-030-64533-5
https://doi.org/10.1007/978-3-030-64533-5
Autor:
Xinzhi Liu, Kevin E. M. Church
Publikováno v:
Bifurcation Theory of Impulsive Dynamical Systems ISBN: 9783030645328
This chapter contains a proof of the principle of linearized stability for nonlinear impulsive functional differential equations, in addition to some auxiliary results on smooth dependence on initial conditions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1d0842d012e8b626f26e98e0a2abea4
https://doi.org/10.1007/978-3-030-64533-5_4
https://doi.org/10.1007/978-3-030-64533-5_4