On a Lotka-Volterra Competition Diffusion Model with Advection

【Author】

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

【Institution】

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

【Abstract】

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.

【Keywords】

Competition-diffusion-advection;;Stability;;Dynamics

References

To explore the background and basis of the node document

Springer Journals Database

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,

More>>

Similar documents

Documents that have the similar content to the node document

Springer Journals Database

Total: 16 articles

  • [1] Features of a rare advection-radiation fog event, Science in China(Series D:Earth Sciences), 2008 (07)
  • [2] Study of a model for correcting the effects of horizontal advection on surface fluxes measurement based on remote sensing, Science in China(Series D:Earth Sciences), 2006 (S2)
  • [3] HUANG Rui Xin;, Energetics of lateral eddy diffusion/advection: Part III. Energetics of horizontal and isopycnal diffusion/ advection, Acta Oceanologica Sinica, 2014 (03)
  • [4] Modification of the land surface energy balance relationship by introducing vertical sensible heat advection and soil heat storage over the Loess Plateau, Science China(Earth Sciences), 2012 (04)

More>>