Analysis of a mathematical predator-prey model with delay |
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| Authors: | Yu F Dolgii S N Nidchenko |
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| Institution: | 1. Institute for Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
2. Ural State Law Academy, Yekaterinburg, Russia
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| Abstract: | We study the behavior of dynamic processes in a mathematical predator-prey model and show that the dynamical system may have a periodic solution whose period coincides with the delay. By the bifurcation method for stability analysis of periodic solutions, we establish that this periodic solution is unstable. |
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