Applied Mathematics & Information Sciences

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An advection-driven interspecific competition model is constructed, which we believe is more physically realistic as the movements of competing species are usually aimed at a target. Standard analysis using the travelling wave approach was employed, and the results show that the equilibrium points are independent of the advection velocities and the wave speed. However, the stability of each steady state depends on the wave speed and the advection velocities of the competing species. Conditions for the extinction and coexistence of the species were also obtained and illustrated using numerical simulations. The implication for ecological resource management is also highlighted.

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