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Uncertainty treatment in prey-predator models using differential inclusions
Journal
Nonlinear dynamics, psychology, and life sciences
ISSN
1090-0578
Date Issued
2018
Author(s)
Type
Resource Types::text::journal::journal article
Abstract
The prey-predator model in the form of Lotka-Volterra equation represents a nonlinear description of the dynamics of two or more interacting populations. In this article, several versions of the Lotka-Volterra model are analyzed from the point of view of parameter uncertainty. The uncertainty treatment is quite different from the common approach. We do not treat uncertain parameters as random. Instead, we analyze the behavior of the models supposing that the uncertain parameters may change in time within given limits. The simulation tool used in this paper is based on the differential inclusions, instead of the ordinary differential equations. This permits us to determine the attainable sets in the state space, due to the parameter uncertainty.
How to cite
Raczynski Gawin, S. F. (2018). Uncertainty treatment in prey-predator models using differential inclusions. Nonlinear dynamics, psychology, and life sciences, 22, (4), 421-438.