Approximate solution to the speed of spreading viruses.
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.
Ortega-Cejas
Vicente
V
Departamento de Física, Universitat Autònoma de Barcelona, 08193 Bellaterrra, Spain. vicente.ortega@uab.es
Fort
Joaquim
J
Méndez
Vicenç
V
Campos
Daniel
D
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*