Electron diffraction was used to study the stoichiometric dependence of the modulation wave vector in the incommensurately modulated structures of -and -Li x V 2 O 5 . For -Li x V 2 O 5 (0.32 x 0.52) and -Li x V 2 O 5 (0.52 x 0.80) the space group of the basic structure is P mmn, and the superspace group characterizing the one-dimensionally modulated structure is found to be P mmn (0 γ 1/2). The stoichiometry dependence of the modulation wave vector q can be described by a staircase function, with γ being constant at γ = 0.435(5) for -Li x V 2 O 5 . A second plateau has been observed in the stability field of -Li x V 2 O 5 for 0.550 x 0.575 with γ = 0.465(5). For the stoichiometry range 0.575 x 0.707, γ varies continuously between γ = 0.465(5) and γ = 0.565(5).In the present paper we will show that the system Li x V 2 O 5 can be described by an extended Frenkel-Kontorova model. Despite its extreme simplicity in the one-dimensional case, the model exhibits most of the features necessary for understanding the variation of the dependence of the modulation wave vector on the lithium stoichiometry.