scholarly journals Dynamical analysis of a delayed ratio-dependent Holling–Tanner predator–prey model

2009 ◽  
Vol 358 (2) ◽  
pp. 389-402 ◽  
Author(s):  
Tapan Saha ◽  
Charugopal Chakrabarti
Keyword(s):  
Dynamical Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent

Dynamical analysis of a harvested predator-prey model with ratio-dependent response function and prey refuge

2014 ◽  
Vol 8 ◽  
pp. 5027-5037 ◽  
Author(s):  
N. N. Ilmiyah ◽  
Trisilowati ◽  
A. R. Alghofari
Keyword(s):  
Response Function ◽  
Dynamical Analysis ◽  
Prey Refuge ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent

Dynamical analysis of predator-prey model with ratio-dependent functional response and predator harvesting

2014 ◽  
Vol 8 ◽  
pp. 1401-1410 ◽  
Author(s):  
Maya Rayungsari ◽  
Wuryansari Muharini Kusumawinahyu ◽  
Marsudi
Keyword(s):  
Functional Response ◽  
Dynamical Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent

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 GLOBAL STABILITY OF A DELAYED RATIO-DEPENDENT PREDATOR-PREY MODEL WITH GOMPERTZ GROWTH FOR PREY

2015 ◽  
Vol 5 (1) ◽  
pp. 28-37
Author(s):  
Shihua Zhang ◽  
◽  
Rui Xu
Keyword(s):  
Global Stability ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent
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