Prey density-dependent handling time in a predator-prey model

2010 ◽  
Vol 11 (1) ◽  
pp. 91-96 ◽  
Author(s):  
T. Okuyama
Keyword(s):  
Prey Density ◽  
Handling Time ◽  
Predator Prey ◽  
Density Dependent ◽  
Predator Prey Model ◽  
Prey Model

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

Bifurcation and spatiotemporal patterns of a density-dependent predator–prey model with Crowley–Martin functional response

2017 ◽  
Vol 10 (06) ◽  
pp. 1750079 ◽  
Author(s):  
M. Sivakumar ◽  
K. Balachandran ◽  
K. Karuppiah
Keyword(s):  
Neumann Boundary ◽  
Positive Equilibrium ◽  
Functional Responses ◽  
Normal Form Theory ◽  
Predator Prey ◽  
Density Dependent ◽  
Predator Prey Model ◽  
Prey Model ◽  
The Stability ◽  
Manifold Theory

In this paper, we consider a diffusive density-dependent predator–prey model with Crowley–Martin functional responses subject to Neumann boundary condition. We analyze the stability of the positive equilibrium and the existence of spatially homogeneous and inhomogeneous periodic solutions through the distribution of the eigenvalues. The direction and stability of Hopf bifurcation are determined by the normal form theory and the center manifold theory. Finally, numerical simulations are given to verify our theoretical analysis.

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
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