On the effects of migration and spatial heterogeneity on single and multiple species

By Yuan Lou. 2006

327 citations recorded by the source corpus.

Subfields: Ecology, Genetics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/201d7a4f2566c4009e38997ad7b0a7d705661bf1

How researchers see this paper

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

In Ecology

1. Yuan Lou
2. Wei-Ming Ni
3. Xiaoqing He
4. Biao Wang
5. Mingxin Wang
6. Chris Cosner
7. Yihong Du
8. Rui Peng

In Genetics

1. Yuan Lou
2. Biao Wang
3. Mingxin Wang
4. Wei-Ming Ni
5. Rui Peng
6. Xiaoqing He
7. Chris Cosner
8. Yihong Du

In Public Health, Environmental and Occupational Health

1. Yuan Lou
2. Rui Peng
3. Mingxin Wang
4. Biao Wang
5. Junjie Wei
6. Yihong Du
7. Junping Shi
8. Chris Cosner

Citations in the corpus

• Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics (2008, background): “A much more detailed description of the region in the μν-plane where (θ, 0) is stable is given in [82], Sect.”
• Global Dynamics of the Lotka‐Volterra Competition‐Diffusion System: Diffusion and Spatial Heterogeneity I (2016, methodology): “Then as observed by Lou [27], d;m enjoys the following important property very different from the case when m is constant on x :”
• Local dynamics of a diffusive predator–prey model in spatially heterogeneous environment (2017, background): “The results from [22] suggest that in two-species Lotka-Volterra competition models, the joint action of spatial heterogeneity and diffusion can drive one of the species to extinction, whereas both species can coexist everywhere in the habitat with no diffusion.”
• The effects of diffusion and spatial variation in Lotka–Volterra competition–diffusion system I: Heterogeneity vs. homogeneity (2013, unknown): “for all d > 0, as observed by Lou in [10].”
• Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments (2019, unknown): “In the past few decades, reaction-diffusion equations have been frequently utilized as standard models to address problems related to spatial ecology and evolution, and one of the most successful examples is the two-species Lotka-Volterra competitiondiffusion system; see for instance [12, 13, 15, 16”
• Reaction-diffusion-advection models for the effects and evolution of dispersal (2013, background): “Moreover, among other things, it is proved in [68] that”
• 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].”
• Asymptotic Behavior of the Principal Eigenvalue for Cooperative Elliptic Systems and Applications (2015, unknown): “This was illustrated in [16], where the following two species Lotka–Volterra competition model was considered: ⎧ ⎨”
• Hopf bifurcation in a delayed reaction-diffusion-advection population model (2017, background): “We also refer to [5, 11, 12, 25, 29, 30] and the references therein for the effects of spatial heterogeneity on single population and two competing populations models.”