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This investigation reveals factors determining wave speed in a three-species competition model, indicating future dynamics.
In this paper, we investigate the propagation speed of bistable traveling waves in a diffusive three-species Lotka-Volterra competition model. By constructing a novel pair of upper and lower solutions, we derive sufficient conditions that determine whether the bistable wave speed is positive or negative. These criteria offer a theoretical foundation for predicting the direction of wave propagation in such systems. The validity and applicability of our theoretical results are further confirmed through several numerical examples.
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Guo et al. (2026) studied this question.
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