Abstract
This contribution deals with asymptotic methods for a Volterra-Lotka system. It is shortly demonstrated how such methods can be applied in case of small and large amplitude oscillations. A more extensive analysis is given for the case where one of the equations contains a small parameter. Our analysis of such a singularly perturbed type of Volterra-Lotka system leads to an asymptotic formula of the period for oscillations with moderate and large amplitudes.
Keywords
- Periodic Solution
- Asymptotic Formula
- Prey Density
- Asymptotic Method
- High Order Approximation
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© 1979 Springer-Verlag
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Grasman, J., Veling, E.J.M. (1979). Asymptotic methods for the Volterra-Lotka equations. In: Verhulst, F. (eds) Asymptotic Analysis. Lecture Notes in Mathematics, vol 711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062951
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DOI: https://doi.org/10.1007/BFb0062951
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09245-2
Online ISBN: 978-3-540-35332-4
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