Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Florin Avram"'
Publikováno v:
Mathematics, Vol 12, Iss 15, p 2425 (2024)
The fact that the famous basic reproduction number R0, i.e., the largest eigenvalue of the next generation matrix FV−1, sometimes has a probabilistic interpretation is not as well known as it deserves to be. It is well understood that half of this
Externí odkaz:
https://doaj.org/article/7f4d5256aacf49269b7016620df8f3ce
Publikováno v:
Mathematics, Vol 12, Iss 1, p 27 (2023)
The basic reproduction number R0 is a concept which originated in population dynamics, mathematical epidemiology, and ecology and is closely related to the mean number of children in branching processes (reflecting the fact that the phenomena of inte
Externí odkaz:
https://doaj.org/article/1f2fe4bb76b846d181fc28c9f13244ef
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1307 (2023)
In this work, we first introduce a class of deterministic epidemic models with varying populations inspired by Arino et al. (2007), the parameterization of two matrices, demography, the waning of immunity, and vaccination parameters. Similar models h
Externí odkaz:
https://doaj.org/article/b0c8ca54d47549079afadc6b5ceb8cb9
Publikováno v:
Symmetry, Vol 14, Iss 5, p 995 (2022)
Our paper presents three new classes of models: SIR-PH, SIR-PH-FA, and SIR-PH-IA, and states two problems we would like to solve about them. Recall that deterministic mathematical epidemiology has one basic general law, the “R0 alternative” of Va
Externí odkaz:
https://doaj.org/article/8c9f3cce8d7f44d78491eb14bdf5f408
Publikováno v:
Mathematics, Vol 10, Iss 3, p 402 (2022)
We revisit here a landmark five-parameter SIR-type model, which is maybe the simplest example where a complete picture of all cases, including non-trivial bistability behavior, may be obtained using simple tools. We also generalize it by adding essen
Externí odkaz:
https://doaj.org/article/45145eb946d143f094e5e0622650eef0
Publikováno v:
Mathematics, Vol 9, Iss 13, p 1513 (2021)
Many of the models used nowadays in mathematical epidemiology, in particular in COVID-19 research, belong to a certain subclass of compartmental models whose classes may be divided into three “(x,y,z)” groups, which we will call respectively “s
Externí odkaz:
https://doaj.org/article/727a4f35f2f04da1a890008878e19f38
Publikováno v:
Mathematics, Vol 9, Iss 9, p 931 (2021)
We investigate a control problem leading to the optimal payment of dividends in a Cramér-Lundberg-type insurance model in which capital injections incur proportional cost, and may be used or not, the latter resulting in bankruptcy. For general claim
Externí odkaz:
https://doaj.org/article/413ea6e8e00a47a2bcd01454cc9b728c
Publikováno v:
Risks, Vol 7, Iss 4, p 117 (2019)
The Segerdahl-Tichy Process, characterized by exponential claims and state dependent drift, has drawn a considerable amount of interest, due to its economic interest (it is the simplest risk process which takes into account the effect of interest rat
Externí odkaz:
https://doaj.org/article/ab575572588a4c39a64edcfd647dc1d6
Publikováno v:
Risks, Vol 7, Iss 1, p 18 (2019)
As is well-known, the benefit of restricting Lévy processes without positive jumps is the “ W , Z scale functions paradigm„, by which the knowledge of the scale functions W , Z extends immediately to other risk control problems. The same is true
Externí odkaz:
https://doaj.org/article/4461c38ebb3f4a07838c8b5e35d42955
Autor:
Florin Avram, Sooie-Hoe Loke
Publikováno v:
Risks, Vol 6, Iss 2, p 35 (2018)
Modeling the interactions between a reinsurer and several insurers, or between a central management branch (CB) and several subsidiary business branches, or between a coalition and its members, are fascinating problems, which suggest many interesting
Externí odkaz:
https://doaj.org/article/b417c1446e704a2da3841c774862e1c2