Non-Local dispersal and bistability

By V. Hutson, M. Grinfeld. European journal of applied mathematics, 2006

46 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/4c59f7564c034f875b64f30894126b2563fb15b7

How researchers see this paper

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

In Computational Theory and Mathematics

1. Wenxian Shen
2. Nar Rawal
3. Yuan Lou
4. Chiu Yen Kao
5. Aijun Zhang
6. Xiao-Qiang Zhao
7. Rui Peng

In Mathematical Physics

1. Nar Rawal
2. Yuan Lou
3. Wenxian Shen
4. Aijun Zhang
5. Mingxin Wang

In Modeling and Simulation

1. Wenxian Shen
2. Aijun Zhang
3. Nar Rawal
4. Yuan Lou
5. Chiu Yen Kao
6. Mingxin Wang
7. Wan-Tong Li
8. Fei-Ying Yang

Citations in the corpus

• Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats (2012, background): “See, for example, [2], [7], [8], [10], [12], [15], [16], [19], [22], [23], [24], [26], [40], [41], for the study of spectral theory for nonlocal dispersal operators and the existence, uniqueness, and stability of nontrivial positive stationary solutions.”
• Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats (2010, unknown): “As the movements and interactions of many species in biology and ecology can occur between non-adjacent spatial locations, nonlocal dispersal has also been used to model the population spreading dynamics of species by many people (see [3], [15], [16], [17], [18], [31], [32], [35], and references the”
• Random dispersal vs. non-local dispersal (2009, background): “However, the movements and interactions of some organisms can occur between non-adjacent spatial locations [12, 16, 18].”
• Spreading Speeds and Traveling Waves of Nonlocal Monostable Equations in Time and Space Periodic Habitats (2013, background): “or movement of the organisms and is sometime referred to nonlocal dispersal. Recently, nonlocal dispersal equations of form (1.3) have been studied by many authors. See, for example, [2], [11], [17], [23], [24], [27], [44], [45], [47] for the study of spectral theory for nonlocal dispersal operators”
• Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications (2012, unknown): “The reader is referred to [5,8,10,11,13,15,16,19,20,22,24–26,28,32], etc.”
• Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations (2012, background): “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 operators and the existence, uniqueness, and stability of nontrivial positive stationary solutions.”