Spreading–vanishing dichotomy in a diffusive logistic model with a free boundary, II☆

By Yihong Du, Zongming Guo. 2011

200 citations recorded by the source corpus.

Subfields: Genetics, Mathematical Physics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/1bb13b67e0c64d23d707c50193056ee86b66d286

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. Yihong Du
3. Chang-Hong Wu
4. Jong-Shenq Guo
5. Jingfu Zhao
6. Rui Peng
7. Zongming Guo
8. Maolin Zhou

In Mathematical Physics

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

In Public Health, Environmental and Occupational Health

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

Citations in the corpus

• On a Free Boundary Problem for a Two-Species Weak Competition System (2012, methodology): “This setting for two competing species with a free boundary is motivated by the work of Du and Lin [11] who proposed a new approach to investigate how one species spreads and invades to a new environment (see also [9,12,14]).”
• Semi-wave and spreading speed for the diffusive competition model with a free boundary (2015, background): “1) reduces to a free boundary problem for U considered in [4], which extends the earlier work [7] from one space dimension to the radially symmetric higher space dimension case.”
• Regularity and Asymptotic Behavior of Nonlinear Stefan Problems (2014, unknown): “5) was introduced in [9, 7, 8] to better understand the spreading of invasive species, where u represents the population density of the species, and the free boundary stands for the spreading front (see [3] for a deduction of the free boundary condition based on ecological assumptions).”
• A Free Boundary Problem for a Predator-prey Model with Double Free Boundaries (2013, background): “3) is reduced to a one phase Stefan problem for the logitic model which has been systematically studied by many authors, see, for example [2], [6]–[10], [11, 18, 22] (including the higher dimension and heterogeneous environment case) and the references cited therein.”
• A diffusive logistic model with a free boundary in time-periodic environment☆ (2013, methodology): “2 in [9], with some obvious modifications.”