79082 20250619084222.0 doi 10.1016/j.jtbi.2018.05.004 sideral 106377 ART-2018-106377 eng Arias, J.H. Epidemics on plants: Modeling long-range dispersal on spatially embedded networks 2018 Access copy available to the general public Unrestricted Here we develop an epidemic model that accounts for long-range dispersal of pathogens between plants. This model generalizes the classical compartmental models–Susceptible-Infected-Susceptible (SIS) and Susceptible-Infected-Recovered (SIR)–to take into account those factors that are key to understand epidemics in real plant populations. These ingredients are the spatial characteristics of the plots and fields in which plants are embedded and the effect of long-range dispersal of pathogens. The spatial characteristics are included through the use of random rectangular graphs which allow to consider the effects of the elongation of plots and fields, while the long-range dispersal is implemented by considering transformations, such as the Mellin and Laplace transforms, of a generalization of the adjacency matrix of the geometric graph. Our results point out that long-range dispersal favors the propagation of pathogens while the elongation of plant plots increases the epidemic threshold and decreases dramatically the number of affected plants. Interestingly, our model is able of reproducing the existence of patchy regions of infected plants and the absence of a clear propagation front centered in the initial infected plants, as it is observed in real plant epidemics. info:eu-repo/grantAgreement/ES/DGA-FSE/E19 info:eu-repo/grantAgreement/ES/MINECO/FIS2014-55867-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.875 2018 MATHEMATICAL & COMPUTATIONAL BIOLOGY 24 / 59 = 0.407 2018 Q2 T2 BIOLOGY 39 / 87 = 0.448 2018 Q2 T2 0.711 2018 Agricultural and Biological Sciences (miscellaneous) 2018 Q1 Applied Mathematics 2018 Q1 Biochemistry, Genetics and Molecular Biology (miscellaneous) 2018 Q1 Statistics and Probability 2018 Q1 Medicine (miscellaneous) 2018 Q1 Modeling and Simulation 2018 Q1 Immunology and Microbiology (miscellaneous) 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Gómez-Gardeñes, J. Universidad de Zaragoza (orcid)0000-0001-5204-1937 Meloni, S. Universidad de Zaragoza (orcid)0000-0001-6202-3302 Estrada, E. 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 2003 395 Universidad de Zaragoza Dpto. Física Materia Condensa. Área Física Materia Condensada 453 (2018), 1-13 J. theor. biol. Journal of theoretical biology 0022-5193 1668215 http://zaguan.unizar.es/record/79082/files/texto_completo.pdf Postprint 46517 http://zaguan.unizar.es/record/79082/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:79082 articulos driver 2025-06-19-08:41:24 ARTICLE