Convergence in competition models with small diffusion coefficients

By V. Hutson, Yuan Lou, Konstantin Mischaikow. 2005

95 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/f6307adcf7c9d9c11ad1d6e52cc986bc2d5198f5

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. Yuan Lou
3. Rui Peng
4. Yihong Du
5. Yixiang Wu
6. Xingfu Zou
7. Xing Liang
8. Salomé Martínez

In Modeling and Simulation

1. Rui Peng
2. Mingxin Wang
3. Yihong Du
4. Yuan Lou
5. Xingfu Zou
6. Yixiang Wu
7. Xing Liang
8. Junping Shi

In Public Health, Environmental and Occupational Health

1. Mingxin Wang
2. Rui Peng
3. Yihong Du
4. Yuan Lou
5. Yixiang Wu
6. Wan-Tong Li
7. Xingfu Zou
8. Junping Shi

Citations in the corpus

• Asymptotic Behavior of the Principal Eigenvalue for Cooperative Elliptic Systems and Applications (2015, unknown): “This question arises from the study of some reaction-diffusion systems in population biology [11].”
• Effect of a protection zone in the diffusive Leslie predator-prey model (2009, background): “Very recently, some efforts have been devoted to addressing this problem, and certain effects of heterogeneity of the environment on some competition and predator–prey models have been revealed; see, for example, [3,5–9,11,18,19,25–27,31,33,34].”
• Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics (2008, background): “It is shown in [65] that if μ and ν are sufficiently small, the function m(x) is positive, and 0 < b, c < 1, then (4.”
• Loops and branches of coexistence states in a Lotka-Volterra competition model (2006, background): “Among these, two-species Lotka-Volterra competition-diffusion models with spatially heterogeneous interactions are probably most studied, see [2]-[12], [14], [18][23], [27, 28, 30, 31, 33] and references therein.”
• Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism (2016, methodology): “Noticing In → k/| | and using a standard singular perturbation theory technique (for example, see [7]), we can prove that Sn → γ β uniformly on as n → ∞.”
• A diffusive competition model with a protection zone (2008, background): “Further related work on competition models in heterogeneous environment can be found, for example, in [2,3,14,15,26,28,32] and the references therein.”
• Global Dynamics of the Lotka‐Volterra Competition‐Diffusion System: Diffusion and Spatial Heterogeneity I (2016, unknown): “, [5–7, 12, 13, 19, 22, 23, 25–28, 32] and references therein.”
• On the effects of migration and spatial heterogeneity on single and multiple species (2006, background): “For the last two decades there has been tremendous interest, by both mathematicians and ecologists, in two-species Lotka–Volterra competition models with spatially heterogeneous interactions, see [2–8,11–15,18,20,22–27,30,31,33,34,36,38] and references therein.”