The diffusive logistic model with a free boundary and seasonalsuccession

By Rui Peng, Xiao-Qiang Zhao. 2012

121 citations recorded by the source corpus.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/b2733f203b7bc29be51ff932b940ac4f851982e6

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. Jie Wang
8. Liangdeng Zhang

In Modeling and Simulation

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

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. Jie Wang
8. Liangdeng Zhang

Citations in the corpus

• Semi-wave and spreading speed for the diffusive competition model with a free boundary (2015, background): “More general results in this direction can be found in [5, 6, 9, 10, 12, 13, 20], where [5, 20] considers time-periodic environment, [6] studies space-periodic environment, [9, 10, 12, 13] investigates more general reaction terms.”
• A diffusive logistic model with a free boundary in time-periodic environment☆ (2013, background): “Second, the uniqueness of such k0(t) and its dependence on the parameter μ are established by a new device, which turns out to be useful also for the study of the space-periodic case of the free boundary model [11], and for the study of a seasonal succession model [29].”
• On a Free Boundary Problem for a Two-Species Weak Competition System (2012, methodology): “For the study of free boundary problems for some biological models, we refer to, for instance [4,6,7,9,10,12,14,17,18,29–32,35] and references cited therein.”
• Invasion by an inferior or superior competitor: A diffusive competition model with a free boundary in a heterogeneous environment (2015, methodology): “[7] considered a diffusive logistic equation in a time-periodic environment, which was based on the studies of Du and Guo [6] and Peng and Zhao [18].”
• 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.”
• Free Boundary Problems for a Lotka–Volterra Competition System (2014, unknown): “For the study of free boundary problems for other type biological models, we refer to, for instance [4,7,9,10,19] and references cited therein.”