On a Lotka-Volterra Competition Diffusion Model with Advection


Qi WANG;College of Science, University of Shanghai for Science and Technology;


College of Science, University of Shanghai for Science and Technology;


In this paper, the author focuses on the joint effects of diffusion and advection on the dynamics of a classical two species Lotka-Volterra competition-diffusion-advection system, where the ratio of diffusion and advection rates are supposed to be a positive constant. For comparison purposes, the two species are assumed to have identical competition abilities throughout this paper. The results explore the condition on the diffusion and advection rates for the stability of former species. Meanwhile, an asymptotic behavior of the stable coexistence steady states is obtained.




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Total: 21 articles

  • [1] Robert Stephen Cantrell;;Chris Cosner;;Yuan Lou, Multiple Reversals of Competitive Dominance in Ecological Reserves via External Habitat Degradation, Journal of Dynamics and Differential Equations,
  • [2] Monotone Methods in Nonlinear Elliptic and Parabolic Boundary Value Problems, Indiana University Mathematics Journal,
  • [3] Vivian Hutson;Yuan Lou;Konstantin Mischaikow;Peter Polácik, Competing Species near a Degenerate Limit., SIAM J. Math. Analysis,
  • [4] V. Hutson;;Y. Lou;;K. Mischaikow, Spatial Heterogeneity of Resources Versus Lotka-Volterra Dynamics, Journal of Differential Equations,


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