scholarly journals Positive steady states of a density-dependent predator-prey model with diffusion

2017 ◽  
Vol 22 (5) ◽  
pp. 16-16
Author(s):  
Kaigang Huang ◽  
Yongli Cai ◽  
Feng Rao ◽  
Shengmao Fu ◽  
Weiming Wang
Keyword(s):  
Steady States ◽  
Predator Prey ◽  
Density Dependent ◽  
Predator Prey Model ◽  
Prey Model ◽  
Positive Steady States

Asymptotic behaviour of positive steady states to a predator—prey model

2006 ◽  
Vol 136 (4) ◽  
pp. 759-778 ◽  
Author(s):  
Yihong Du ◽  
Mingxin Wang
Keyword(s):  
Asymptotic Behaviour ◽  
Spatial Effect ◽  
Steady States ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Positive Steady States ◽  
Predator Prey Models ◽  
Limiting Case

To understand the heterogeneous spatial effect on predator–prey models, we study the behaviour of the positive steady states of a predator–prey model as certain parameters are small or large. We compare the case when the model has a spatial degeneracy with the case when it does not have such a degeneracy. Our results show that the effect of the degeneracy can be clearly observed in one limiting case, but not in the others.

scholarly journals Bifurcation structure of nonconstant positive steady states for a diffusive predator-prey model

2019 ◽  
Vol 16 (5) ◽  
pp. 3988-4006
Author(s):  
Dongfu Tong ◽  
◽  
Yongli Cai ◽  
Bingxian Wang ◽  
Weiming Wang
Keyword(s):  
Steady States ◽  
Bifurcation Structure ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Positive Steady States

scholarly journals Existence of positive steady states for a predator-prey model with diffusion

2013 ◽  
Vol 12 (5) ◽  
pp. 2189-2201 ◽  
Author(s):  
Wenshu Zhou ◽  
Hongxing Zhao ◽  
Xiaodan Wei ◽  
Guokai Xu
Keyword(s):  
Steady States ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Positive Steady States

Effects of density-dependent migrations on stability of a two-patch predator–prey model

2007 ◽  
Vol 210 (1) ◽  
pp. 335-354 ◽  
Author(s):  
Abderrahim El Abdllaoui ◽  
Pierre Auger ◽  
Bob W. Kooi ◽  
Rafael Bravo de la Parra ◽  
Rachid Mchich
Keyword(s):  
Predator Prey ◽  
Density Dependent ◽  
Predator Prey Model ◽  
Prey Model ◽  
Effects Of Density

Effects of Density Dependent Migrations on the Dynamics of a Predator Prey Model

2005 ◽  
Vol 53 (4) ◽  
pp. 331-340 ◽  
Author(s):  
Rachid Mchich ◽  
Amal Bergam ◽  
Nadia Raïssi
Keyword(s):  
Predator Prey ◽  
Density Dependent ◽  
Predator Prey Model ◽  
Prey Model ◽  
Effects Of Density
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