Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Kyrychko, Y. N."'
Publikováno v:
Math. Biosci. 322, 108327 (2020)
In this paper we present a new method for deriving It\^{o} stochastic delay differential equations (SDDEs) from delayed chemical master equations (DCMEs). Considering alternative formulations of SDDEs that can be derived from the same DCME, we prove
Externí odkaz:
http://arxiv.org/abs/2305.04056
Publikováno v:
Front. Appl. Math. Stat. 8, 1083815 (2022)
In this paper, we analyse a recently proposed predator-prey model with ratio dependence and Holling type III functional response, with particular emphasis on the dynamics close to extinction. By using Briot-Bouquet transformation we transform the mod
Externí odkaz:
http://arxiv.org/abs/2305.04053
This paper investigates the dynamics of immune response and autoimmunity with particular emphasis on the role of regulatory T cells (Tregs), T cells with different activation thresholds, and cytokines in mediating T cell activity. Analysis of the ste
Externí odkaz:
http://arxiv.org/abs/1810.11818
Autor:
Kyrychko, Y. N., Schwartz, I. B.
The paper addresses the problem of calculating the noise-induced switching rates in systems with delay-distributed kernels and Gaussian noise. A general variational formulation for the switching rate is derived for any distribution kernel, and the ob
Externí odkaz:
http://arxiv.org/abs/1806.00084
Publikováno v:
Mathematics 6, 66 (2018)
A major contribution to the onset and development of autoimmune disease is known to come from infections. An important practical problem is identifying the precise mechanism by which the breakdown of immune tolerance as a result of immune response to
Externí odkaz:
http://arxiv.org/abs/1805.07316
Publikováno v:
Frontiers in Physiology 9, 45 (2018)
Among various possible causes of autoimmune disease, an important role is played by infections that can result in a breakdown of immune tolerance, primarily through the mechanism of "molecular mimicry". In this paper we propose and analyse a stochast
Externí odkaz:
http://arxiv.org/abs/1805.07298
Publikováno v:
J. Theor. Biol. 447, 98-110 (2018)
A new detailed mathematical model for dynamics of immune response to hepatitis B is proposed, which takes into account contributions from innate and adaptive immune responses, as well as cytokines. Stability analysis of different steady states is per
Externí odkaz:
http://arxiv.org/abs/1805.05322
Publikováno v:
Math. Biosci. 294, 92-99 (2017)
This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information campaign, d
Externí odkaz:
http://arxiv.org/abs/1710.04701
Publikováno v:
Phys. Rev. E 96, 032203 (2017)
We consider a globally coupled network of active (oscillatory) and inactive (non-oscillatory) oscillators with distributed-delay coupling. Conditions for aging transition, associated with suppression of oscillations, are derived for uniform and gamma
Externí odkaz:
http://arxiv.org/abs/1710.08383
Publikováno v:
Ecol. Compl. 31, 50-56 (2017)
This paper analyses the dynamics of infectious disease with a concurrent spread of disease awareness. The model includes local awareness due to contacts with aware individuals, as well as global awareness due to reported cases of infection and awaren
Externí odkaz:
http://arxiv.org/abs/1704.05912