Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients
By Yonggang Zhao, Mingxin Wang. 2015
50 citations recorded by the source corpus.
In this article we investigate two free boundary problems for a Lotka-Volterra competition system in a higher space dimension with sign-changing coefficients. One may be viewed as describing how two competing species invade if they occupy an initial region, the other describes the dynamical process of a new competitor invading into the habitat of a native species. For simplicity, it is assumed that the environment is radially symmetric. The main purpose of this article is to understand the asymptotic behavior of competing species spreading via a free boundary. We derive some sufficient conditions for species spreading success and spreading failure. Moreover, when spreading successfully, we provide the long time behavior of solutions.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/08824405d6f7775e06517e4160a304c14ac3f135
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In Genetics
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Citations in the corpus
- Two species nonlocal diffusion systems with free boundaries (2019, background): “3 (i) suggests that the dispersal rates d1 and d2 play a more dominant role in determining whether the species can spread successfully than in the local diffusion case [9, 14, 16, 19], reinforcing the phenomenon revealed in the single species case in [6].”
- Dynamics for a diffusive prey-predator model with different free boundaries (2015, background): “The authors of [10, 15, 32, 33, 47] investigated a competition model in which the invasive species exists initially in a ball and invades into the new environment,”