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We rigorously investigate the convergence of a new numerical method, recently proposed by the authors, to approximate the reproduction numbers of a large class of age-structured population models with finite age span. The method consists in reformula
Externí odkaz:
http://arxiv.org/abs/2409.01520
Publikováno v:
Mathematical Biosciences and Engineering 2024, Volume 21, Issue 4: 5360-5393
In this paper, we introduce a general numerical method to approximate the reproduction numbers of a large class of multi-group, age-structured, population models with a finite age span. To provide complete flexibility in the definition of the birth a
Externí odkaz:
http://arxiv.org/abs/2312.13477
Publikováno v:
SIAM Journal on Scientific Computing, 46 (2), A953-A973, 2024
We numerically address the stability analysis of linear age-structured population models with nonlocal diffusion, which arise naturally in describing dynamics of infectious diseases. Compared to Laplace diffusion, models with nonlocal diffusion are m
Externí odkaz:
http://arxiv.org/abs/2304.10835
Publikováno v:
Mathematical Biosciences and Engineering 2023, Volume 20, Issue 3: 4493-4515
The asymptotic stability of the null equilibrium of a linear population model with two physiological structures formulated as a first-order hyperbolic PDE is determined by the spectrum of its infinitesimal generator. We propose an equivalent reformul
Externí odkaz:
http://arxiv.org/abs/2203.11998
Structured epidemic models can be formulated as first-order hyperbolic PDEs, where the "spatial" variables represent individual traits, called structures. For models with two structures, we propose a numerical technique to approximate $R_{0}$, which
Externí odkaz:
http://arxiv.org/abs/2109.03206
Publikováno v:
In Computers and Mathematics with Applications 15 June 2022 116:15-24
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Akademický článek
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Autor:
Sabbatino M; Department of Mathematics, University of Trento, Via Sommarive 14, Povo, 38123, Trento, Italy., De Reggi S; CDLab - Computational Dynamics Laboratory, Department of Mathematics, Computer Science and Physics, University of Udine, Via delle Scienze 206, 33100, Udine, Italy., Pugliese A; Department of Mathematics, University of Trento, Via Sommarive 14, Povo, 38123, Trento, Italy. andrea.pugliese@unitn.it.
Publikováno v:
Bulletin of mathematical biology [Bull Math Biol] 2025 Jan 03; Vol. 87 (2), pp. 22. Date of Electronic Publication: 2025 Jan 03.