Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment

By Chufen Wu, Yang Wang, Xingfu Zou. Journal of Differential Equations, 2019

80 citations recorded by the source corpus.

Abstract We consider a competitive system with nonlocal dispersals in a 1-dimensional environment that is worsening with a constant speed, reflected by two shifting growth functions. By analyzing the spatial-temporal dynamics of the model system, we are able to identify certain ranges for the worsening speed c, respectively for (i) extinction of both species; (ii) extinction of one species but persistence of the other; (iii) persistence of both species. In the case of persistence of a species, it is achieved through spreading to the direction of favorable environment with certain speed(s), and some estimates of these speeds are also obtained. We also present some numeric simulation results which confirm our theoretical results, and in the mean time, motivate some challenging problems for future work.

Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/d4a765e6147bf0ca29e6e6c868755602b8aa1f29

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

1. Xiao-Qiang Zhao
2. Taishan Yi
3. Pierre Magal
4. Horst R. Thieme
5. Yuan Lou
6. Peng Zhou

In Public Health, Environmental and Occupational Health

1. Taishan Yi
2. Xiao-Qiang Zhao
3. Jian Fang
4. Wenxian Shen
5. Wan-Tong Li
6. Xing Liang
7. Arnaud Ducrot
8. Xingfu Zou

In Sociology and Political Science

1. Xiao-Qiang Zhao

Citations in the corpus

• Propagation dynamics for monotone evolution systems without spatial translation invariance (2020, background): “, [2, 22, 36]), there have been quite a few works on traveling waves and asymptotic behavior for evolution equation models with a shifting environment, see [3, 4, 7, 8, 9, 10, 11, 12, 18, 20, 25, 26, 31, 37, 40, 45] and references therein.”
• Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal (2021, unknown): “For a 2-species competition system, we refer to [34] for spatial-temporal dynamics and [32] for the gap formation.”