Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal

By Georg Hetzer, Tung Nguyen, Wenxian Shen. 2012

53 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/0be9fe55b5772b5c47748cd8fb211d064dc9c8d0

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. Meng Zhao
3. Yihong Du
4. Xiaoxia Xie
5. Wenxian Shen
6. Aijun Zhang
7. Yang Zhang
8. Rui Peng

In Modeling and Simulation

1. Mingxin Wang
2. Yihong Du
3. Xiaoxia Xie
4. Wenxian Shen
5. Aijun Zhang
6. Meng Zhao
7. Rui Peng
8. Junping Shi

In Public Health, Environmental and Occupational Health

1. Mingxin Wang
2. Yihong Du
3. Meng Zhao
4. Xiaoxia Xie
5. Wenxian Shen
6. Aijun Zhang
7. Rui Peng
8. Junping Shi

Citations in the corpus

• Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations (2012, background): “o the spatial spread and front propagation dynamics of nonlocal dispersal equations of the form (1.2) have also been studied by many authors. See, for example, [2], [6], [10], [12], [14], [19], [20], [25], [26], [30], [31], [32], [34], [53], for the study of spectral theory for nonlocal dispersal op”
• Reaction-diffusion-advection models for the effects and evolution of dispersal (2013, unknown): “18) and related models for interacting species have been studied by various researchers; see [4, 20, 26, 27, 28, 29, 47, 53, 55] and the references in those papers.”
• Two species nonlocal diffusion systems with free boundaries (2019, background): “Several well-known population models, where population dispersal was traditionally approximated by local diffusion, have been examined recently with the local diffusion operator in the model replaced by a nonlocal diffusion operator; see, for example, [1, 2, 3, 5, 10, 11, 12] and references therein.”
• Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment (2019, unknown): “, see [13,11,24,12,4,15,14,33,19,21,8] and the references therein).”
• On Principal Spectrum Points/Principal Eigenvalues of Nonlocal Dispersal Operators and Applications (2013, background): “Such sufficient conditions have been found important in the study of nonlinear evolution equations with nonlocal dispersals (see [9], [18], [20], [23], [24], [25], [34], [35], [36]).”