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pro vyhledávání: '"de la Parra, Rafael Bravo"'
In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by individuals
Externí odkaz:
http://arxiv.org/abs/2402.04899
Publikováno v:
Sanz, L., Bravo de la Parra, R., Marv\'a, M., & S\'anchez, E, 2019, Non-linear population discrete models with two time scales: re-scaling of part of the slow process. Advances in Difference Equations, 2019(1), 1-25
In this work we present a reduction result for discrete time systems with two time scales. In order to be valid, previous results in the field require some strong hypotheses that are difficult to check in practical applications. Roughly speaking, the
Externí odkaz:
http://arxiv.org/abs/2402.04803
Autor:
de La Parra, Rafael Bravo, Sanz, Luis
Publikováno v:
Discrete & Continuous Dynamical Systems-B, 25(6):2121-2142, 2020
In this work we develop a discrete model of competing species affected by a common parasite. We analyze the influence of the fast development of the shared disease on the community dynamics. The model is presented under the form of a two time scales
Externí odkaz:
http://arxiv.org/abs/2402.04041
Publikováno v:
Advances in Difference Equations, 2021(1), 1-24
The main aim of the work is to present a general class of two time scales discrete-time epidemic models. In the proposed framework the disease dynamics is considered to act on a slower time scale than a second different process that could represent m
Externí odkaz:
http://arxiv.org/abs/2402.03958
Autor:
Sanz, Luis, de la Parra, Rafael Bravo
Publikováno v:
Sanz, L., Bravo de la Parra, R., 2020, Stochastic matrix metapopulation models with fast migration: Re-scaling survival to the fast scale. Ecological Modelling, 418, 108829
In this work we address the analysis of discrete-time models of structured metapopulations subject to environmental stochasticity. Previous works on these models made use of the fact that migrations between the patches can be considered fast with res
Externí odkaz:
http://arxiv.org/abs/2402.03888
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Akademický článek
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Traditional biomedical approaches treat diseases in isolation, but the importance of synergistic disease interactions is now recognized. As a first step we present and analyze a simple coinfection model for two diseases affecting simultaneously a pop
Externí odkaz:
http://arxiv.org/abs/1403.3517
Publikováno v:
SIAM Journal on Applied Mathematics, 1999 Dec 01. 60(2), 408-436.
Externí odkaz:
https://www.jstor.org/stable/118489
Publikováno v:
In Ecological Modelling 24 June 2015 306:247-256