The diffusive logistic equation with a free boundary and sign-changing coefficient

By Mingxin Wang. 2014

115 citations recorded by the source corpus.

This short paper concerns a diffusive logistic equation with the heterogeneous environment and a free boundary, which is formulated to study the spread of an invasive species, where the free boundary represents the expanding front. A spreading-vanishing dichotomy is derived, namely the species either successfully spreads to the right-half-space as time $t\to\infty$ and survives (persists) in the new environment, or it fails to establish and will extinct in the long run. The sharp criteria for spreading and vanishing is also obtained. When spreading happens, we estimate the asymptotic spreading speed of the free boundary.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/f72839a0ed8e754d48ac2488cd25f68796e083e8

How researchers see this paper

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

In Applied Mathematics

1. Yang Zhang
2. Mingxin Wang
3. Rui Peng

In Modeling and Simulation

1. Yang Zhang
2. Mingxin Wang
3. Rui Peng
4. Peter Y. H. Pang
5. Yihong Du
6. Junping Shi
7. Zhigui Lin

In Public Health, Environmental and Occupational Health

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

Citations in the corpus

• Dynamics for a diffusive prey-predator model with different free boundaries (2015, background): “Please refer to [6]-[9], [11]-[13], [16, 21, 22, 28, 35, 37] and the references therein.”
• Existence and uniqueness of solutions of free boundary problems in heterogeneous environments (2019, background): “Recent years, free boundary problems coming from ecology in the spatial heterogeneous environments had been studied by many authors, see [1]-[3], [5]-[7], [9, 10, 12], [14]-[17], for example.”