title: [Analysis of seasonal fluctuations in the Lotka-Volterra model].
abstract: A modification of the Lotka-Volterra model was proposed. The modification takes into account the factor of seasonal fluctuations in a "predator-prey" model. In this modification, interactions between species in summer are described by the Lotka-Volterra equations; in winter, individuals of both species extinct. This generalization makes the classic model unrough, which substantially extends the field of its application. The results of numerical simulation illustrate the statement formulated above.
authors.affiliation: Moscow Physicotechnical Institute, ul. Pervomaiskaya 25, Dolgoprudnyi, Moscow Region, 143100 Russia.
authors.forename: A I
authors.initials: AI
authors.lastname: Lobanov
authors.forename: D A
authors.initials: DA
authors.lastname: Sarancha
authors.forename: T K
authors.initials: TK
authors.lastname: Starozhilova
mesh_terms: D000818:Animals; D000835:Animals, Wild; D008954:Models, Biological; D011156:Population Density; D011235:Predatory Behavior; D012621:Seasons