Is wolf predation ratio-dependent?

1997 ◽  
Vol 75 (11) ◽  
pp. 1940-1944 ◽  
Author(s):  
L. L. Eberhardt
Keyword(s):  
Canis Lupus ◽  
Alces Alces ◽  
Predator Control ◽  
Regulatory Effect ◽  
Predator Prey ◽  
Wolf Predation ◽  
Predator Prey Model ◽  
Prey Model ◽  
Data Limitations ◽  
Ratio Dependent

The controversy over whether wolves (Canis lupus) can regulate ungulate numbers is difficult to assess, owing to data limitations, relaxation of predator control, and the fact that current predator – prey theory was developed from the study of invertebrate populations. A ratio-dependent predator – prey model appears to be supported by data on predation on ungulates, and the data indicate that wolves have a significant impact on numbers of moose (Alces alces), and thus can exert a regulatory effect on that species.

Spatial Pattern of Ratio-Dependent Predator–Prey Model with Prey Harvesting and Cross-Diffusion

2019 ◽  
Vol 29 (03) ◽  
pp. 1950036 ◽  
Author(s):  
R. Sivasamy ◽  
M. Sivakumar ◽  
K. Balachandran ◽  
K. Sathiyanathan
Keyword(s):  
Temporal Dynamics ◽  
Intake Rate ◽  
Diffusion Term ◽  
Predator Prey ◽  
Cross Diffusion ◽  
Predator Prey Model ◽  
Prey Model ◽  
Nonlinear Harvesting ◽  
Ratio Dependent ◽  
The Cross

This study focuses on the spatial-temporal dynamics of predator–prey model with cross-diffusion where the intake rate of prey is per capita predator according to ratio-dependent functional response and the prey is harvested through nonlinear harvesting strategy. The permanence analysis and local stability analysis of the proposed model without cross-diffusion are analyzed. We derive the conditions for the appearance of diffusion-driven instability and global stability of the considered model. Also the parameter space for Turing region is specified by keeping the cross-diffusion coefficient as one of the crucial parameters. Numerical simulations are given to justify the proposed theoretical results and to show that the cross-diffusion term plays a significant role in the pattern formation.

scholarly journals Dynamics and bifurcations of a ratio-dependent predator-prey model

2022 ◽  
Vol 40 ◽  
pp. 1-20
Author(s):  
Parisa Azizi ◽  
Reza Khoshsiar Ghaziani
Keyword(s):  
Normal Form ◽  
Limit Cycles ◽  
Numerical Continuation ◽  
Predator Prey ◽  
Bifurcation Points ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent

In this paper, we study a ratio-dependent predator-prey model with modied Holling-Tanner formalism, by using dynamical techniques and numerical continuation algorithms implemented in Matcont. We determine codim-1 and 2 bifurcation points and their corresponding normal form coecients. We also compute a curve of limit cycles of the system emanating from a Hopf point.

Parametric analysis of the ratio-dependent predator-prey model

2001 ◽  
Vol 43 (3) ◽  
pp. 221-246 ◽  
Author(s):  
F. Berezovskaya ◽  
G. Karev ◽  
R. Arditi
Keyword(s):  
Parametric Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent
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