title: Approximate solution to the speed of spreading viruses.
abstract: Recently, it has been shown that the speed of virus infections can be explained by time-delayed reaction-diffusion [J. Fort and V. Méndez, Phys. Rev. Lett. 89, 178101 (2002)], but no analytical solutions were found. Here we derive formulas for the front speed, valid in appropriate limits. We also integrate numerically the evolution equations of the system. There is good agreement with both numerical and experimental speeds.
authors.affiliation: Departamento de Física, Universitat Autònoma de Barcelona, 08193 Bellaterrra, Spain. vicente.ortega@uab.es
authors.forename: Vicente
authors.initials: V
authors.lastname: Ortega-Cejas
authors.forename: Joaquim
authors.initials: J
authors.lastname: Fort
authors.forename: Vicenç
authors.initials: V
authors.lastname: Méndez
authors.forename: Daniel
authors.initials: D
authors.lastname: Campos
mesh_terms: D001419:Bacteria / Q000254:growth & development* / Q000821:virology*; D018407:Bacterial Physiological Phenomena; D003198:Computer Simulation; D004058:Diffusion; D006790:Host-Parasite Interactions; D008954:Models, Biological; D009038:Motion; D014771:Virion / Q000254:growth & development* / Q000472:pathogenicity*; D014774:Virulence / Q000502:physiology*