scholarly journals Globally Attractive of a Ratio-Dependent Lotka-Volterra Predator-Prey Model with Feedback Control

2016 ◽  
Vol 4 (5) ◽  
pp. 59 ◽  
Author(s):  
Changyou Wang
2013 ◽  
Vol 765-767 ◽  
pp. 327-330
Author(s):  
Chang You Wang ◽  
Xiang Wei Li ◽  
Hong Yuan

This paper is concerned with a Lotka-Volterra predator-prey system with ratio-dependent functional responses and feedback controls. By developing a new analysis technique, we establish the sufficient conditions which guarantee the permanence of the model.


2019 ◽  
Vol 29 (03) ◽  
pp. 1950036 ◽  
Author(s):  
R. Sivasamy ◽  
M. Sivakumar ◽  
K. Balachandran ◽  
K. Sathiyanathan

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.


2022 ◽  
Vol 40 ◽  
pp. 1-20
Author(s):  
Parisa Azizi ◽  
Reza Khoshsiar Ghaziani

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.


2001 ◽  
Vol 43 (3) ◽  
pp. 221-246 ◽  
Author(s):  
F. Berezovskaya ◽  
G. Karev ◽  
R. Arditi

Sign in / Sign up

Export Citation Format

Share Document