Name
Title | ||
|---|---|---|
Approaching the Ideal Free Distribution in Two-Species Competition Models with Fitness-Dependent Dispersal. |
Abstract | ||
|---|---|---|
This paper concerns the global existence and asymptotic behavior of solutions to some reaction-diffusion-advection models for two competing species, where the species have the same population dynamics but different dispersal strategies. When one species possesses a combination of random dispersal and directed movement upward along its fitness gradient whereas the other species adopts random dispersal, the global existence of smooth solutions to the quasi-linear parabolic system is established. When one species adopts the fitness-dependent dispersal but the other species does not disperse at all, we show the global existence of weak solutions to the degenerate parabolic-ODE system and further describe the asymptotic behavior of these weak solutions. In particular, we show that in the latter case the total population density approaches the so-called ideal free distribution in an appropriate sense. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1137/130934246 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
quasi-linear parabolic system,degenerate parabolic-ODE system,global solution,asymptotic behavior | Degenerate energy levels,Population,Mathematical optimization,Parabolic system,Population density,Ideal free distribution,Asymptotic analysis,Biological dispersal,Mathematics | Journal |
Volume | Issue | ISSN |
46 | 2 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuan Lou | 1 | 8 | 4.81 |
| Youshan Tao | 2 | 22 | 7.04 |
| Michael Winkler | 3 | 0 | 0.68 |