Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Vermiglio, Rossana"'
Autor:
Ando', Alessia, Vermiglio, Rossana
Exponential Runge-Kutta methods for semilinear ordinary differential equations can be extended to abstract differential equations, defined on Banach spaces. Thanks to the sun-star theory, both delay differential equations and renewal equations can be
Externí odkaz:
http://arxiv.org/abs/2410.00498
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
We consider nonlinear delay differential and renewal equations with infinite delay. We extend the work of Gyllenberg et al, Appl. Math. Comput. (2018) by introducing a unifying abstract framework, and derive a finite-dimensional approximating system
Externí odkaz:
http://arxiv.org/abs/2306.13351
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
In recent years we provided numerical methods based on pseudospectral collocation for computing the Floquet multipliers of different types of delay equations, with the goal of studying the stability of their periodic solutions. The latest work of the
Externí odkaz:
http://arxiv.org/abs/2203.12734
Periodic solutions of delay equations are usually approximated as continuous piecewise polynomials on meshes adapted to the solutions' profile. In practical computations this affects the regularity of the (coefficients of the) linearized system and,
Externí odkaz:
http://arxiv.org/abs/2203.11839
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
We propose an approximation of nonlinear renewal equations by means of ordinary differential equations. We consider the integrated state, which is absolutely continuous and satisfies a delay differential equation. By applying the pseudospectral appro
Externí odkaz:
http://arxiv.org/abs/2012.05364
As widely known, the basic reproduction number plays a key role in weighing birth/infection and death/recovery processes in several models of population dynamics. In this general setting, its characterization as the spectral radius of next generation
Externí odkaz:
http://arxiv.org/abs/2004.13090