A diffusive predator–prey model in heterogeneous environment

By Yihong Du, Sze-Bi Hsu. 2004

48 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/b6b42d43b9d0d873e17b2dcce8721031035d6210

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. Biao Wang
3. Yuan Lou
4. Rui Peng
5. Yihong Du
6. Junping Shi
7. Xingfu Zou
8. Chang-Hong Wu

In Modeling and Simulation

1. Mingxin Wang
2. Rui Peng
3. Junping Shi
4. Yihong Du
5. Yuan Lou
6. Biao Wang
7. Peter Y. H. Pang
8. Junjie Wei

In Public Health, Environmental and Occupational Health

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

Citations in the corpus

• Allee effect and bistability in a spatially heterogeneous predator-prey model (2007, methodology): “In both [DD] and [ DHs ], only one attracting state seems possible, contrasting the possible bistablity for (1.2).”
• A diffusive predator–prey model with a protection zone☆ (2006, unknown): “More recently, the impact of heterogeneity and degeneracy of the environment has been studied in [2,13–16,25–27] for the Lotka–Volterra competition model, and in [10,19,24] for the diffusive predator–prey model.”
• Effect of a protection zone in the diffusive Leslie predator-prey model (2009, unknown): “(It was conjectured in [11] that this restriction on α/β is unnecessary, but the conjecture has not been proved so far.”
• Local dynamics of a diffusive predator–prey model in spatially heterogeneous environment (2017, methodology): “We refer to [7, 23, 24, 25, 26] for surveys of recent development on the effects of dispersal and spatial heterogeneity on population dynamics; See [2, 11, 21, 18] for single species models, [9, 10, 12, 13, 14, 27] for predator-prey models, and [15, 16, 17, 19, 20] for competition models.”
• Positive steady states of the Holling–Tanner prey–predator model with diffusion (2005, methodology): “These include the Gierer–Meinhardt model [11, 26], the Sel’kov model [5, 25], the Brusselator model [2], the chemotactic diffusion model [24], the Lotka–Volterra competition model [14,15], the Lotka–Volterra predator–prey model [ 6 ,7,12,19,20], as well as models of semiconductors, plasmas, chemical”