Zobrazeno 1 - 10
of 310
pro vyhledávání: '"AVRAM, FLORIN"'
Our paper reviews some key concepts in chemical reaction network theory and mathematical epidemiology, and examines their intersection, with three goals. The first is to make the case that mathematical epidemiology (ME), and also related sciences lik
Externí odkaz:
http://arxiv.org/abs/2411.00488
This essay reviews some key concepts in mathematical epidemiology and examines the intersection of this field with related scientific disciplines, such as chemical reaction network theory and Lagrange-Hamilton geometry. Through a synthesis of theoret
Externí odkaz:
http://arxiv.org/abs/2406.03269
Mathematical Epidemiology (ME) shares with Chemical Reaction Network Theory (CRNT) the basic mathematical structure of its dynamical systems. Despite this central similarity, methods from CRNT have been seldom applied to solving problems in ME. We ex
Externí odkaz:
http://arxiv.org/abs/2405.14576
This paper generalizes and corrects a famous paper (more than 200 citations) concerning Hopf and Bogdanov-Takens bifurcations due to L. Zhou and M. Fan, "Dynamics of an SIR epidemic model with limited medical resources revisited", in which we discove
Externí odkaz:
http://arxiv.org/abs/2310.19696
A very large class of ODE epidemic models (2.2) discussed in this paper enjoys the property of admitting also an integral renewal formulation, with respect to an "age of infection kernel" a(t) which has a matrix exponential form (3.2). We observe fir
Externí odkaz:
http://arxiv.org/abs/2307.04774
Publikováno v:
Bol. Soc. Mat. Mex., 29, 63 (2023)
We revisit here and carry out further works on tumor-virotherapy compartmental models of [Tian, 2011, Wang et al., 2013, Phan and Tian, 2017, Guo et al., 2019]. The results of these papers are only slightly pushed further. However, what is new is the
Externí odkaz:
http://arxiv.org/abs/2210.00401
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 [52, 51
Externí odkaz:
http://arxiv.org/abs/2205.03700
We revisit here a landmark five parameter SIR-type model of [DvdD93, Sec. 4], 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 generaliz
Externí odkaz:
http://arxiv.org/abs/2112.11917
Autor:
Avram, Florin, Adenane, Rim, Basnarkov, Lasko, Bianchin, Gianluca, Goreac, Dan, Halanay, Andrei
In this work we study the stability properties of the equilibrium points of deterministic epidemic models with nonconstant population size. Models with nonconstant population have been studied in the past only in particular cases, two of which we rev
Externí odkaz:
http://arxiv.org/abs/2112.03436
Autor:
Avram, Florin1 (AUTHOR) avramf3@gmail.com, Adenane, Rim2 (AUTHOR) rim.adenane9@gmail.com, Basnarkov, Lasko3,4 (AUTHOR) lasko.basnarkov@finki.ukim.mk
Publikováno v:
Mathematics (2227-7390). Aug2024, Vol. 12 Issue 15, p2425. 16p.
