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Updated: Oct 1, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
[Analysis of seasonal fluctuations in the Lotka-Volterra model]
A I Lobanov1, D A Sarancha, T K Starozhilova
1Moscow Physicotechnical Institute, ul. Pervomaiskaya 25, Dolgoprudnyi, Moscow Region, 143100 Russia.
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.
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