✦ LIBER ✦

Application of perturbation theory to the nonlinear Volterra-Gause-Witt model for prey-predator interaction

✍ Scribed by Ranabir Dutt; P.K. Ghosh; B.B. Karmakar

Publisher: Springer
Year: 1975
Tongue: English
Weight: 371 KB
Volume: 37
Category: Article
ISSN: 1522-9602
DOI: 10.1016/s0092-8240(75)80021-8

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✦ Synopsis

Krylov-Bogoliubov-Mitropolsky perturbation method was used to study the effect of nonlinearity in the Volterra-Gause-Witt (VGW) model for a two species prey-predator system. The first order corrections to both the frequency of oscillation and the amplitude of the linearized system were computed. I t was found that the basic qualitative features of the nonlinearity are exhibited by the first order result. We have also discussed the Lotk~-Volterra problem which is a special case of VGW model.