Free Boundary Problems for a Lotka–Volterra Competition System

By Mingxin Wang, Jingfu Zhao. 2014

157 citations recorded by the source corpus.

In this paper we investigate two free boundary problems for a Lotka–Volterra type competition model in one space dimension. The main objective is to understand the asymptotic behavior of the two competing species spreading via a free boundary. We prove a spreading-vanishing dichotomy, namely the two species either successfully spread to the right-half-space as time $$t$$t goes to infinity and survive in the new environment, or they fail to establish and die out in the long run. The long time behavior of the solutions and criteria for spreading and vanishing are also obtained. This paper is an improvement and extension of Guo and Wu (J Dyn Differ Equ 24:873–895, 2012).

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

View Paper: https://www.semanticscholar.org/paper/2b2c06934ed63b75ee7bd90a9dde086ae79ea02b

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. Mingxin Wang
2. Yonggang Zhao
3. Yihong Du
4. Maolin Zhou
5. Yang Zhang
6. Rui Peng
7. Chang-Hong Wu
8. Jong-Shenq Guo

In Public Health, Environmental and Occupational Health

1. Mingxin Wang
2. Yihong Du
3. Yonggang Zhao
4. Maolin Zhou
5. Rui Peng
6. Junping Shi
7. Yang Zhang
8. Peter Y. H. Pang

In Sociology and Political Science

1. Mingxin Wang
2. Yonggang Zhao
3. Yihong Du
4. Chang-Hong Wu
5. Zhigui Lin

Citations in the corpus

• Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients (2015, background): “Besides, the authors of [29] also disposed of problem (1.”
• Semi-wave and spreading speed for the diffusive competition model with a free boundary (2015, background): “In [8, 15, 16, 23, 25], various two species competition models with”