scholarly journals Stability, Neimark-Sacker bifurcation and chaos control for a prey-predator system with harvesting effect on predator

2021 ◽  
Vol 22 (2) ◽  
pp. 663
Author(s):  
Özlem Ak Gümüş ◽  
Michal Fečkan
Keyword(s):  
Chaos Control ◽  
Bifurcation And Chaos ◽  
Predator System

Stability, bifurcation and chaos control of a discretized Leslie prey-predator model

2021 ◽  
Vol 152 ◽  
pp. 111345
Author(s):  
S. Akhtar ◽  
R. Ahmed ◽  
M. Batool ◽  
Nehad Ali Shah ◽  
Jae Dong Chung
Keyword(s):  
Chaos Control ◽  
Bifurcation And Chaos ◽  
Predator Model

scholarly journals Stability, bifurcation, and chaos control of a novel discrete-time model involving Allee effect and cannibalism

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Sajjad Shabbir ◽  
Qamar Din ◽  
Khalil Ahmad ◽  
Asifa Tassaddiq ◽  
Atif Hassan Soori ◽  
...  
Keyword(s):  
Discrete Time ◽  
Chaos Control ◽  
Allee Effect ◽  
Bifurcation And Chaos ◽  
Time Model ◽  
Discrete Time Model

scholarly journals Homoclinic bifurcation and chaos control in MEMS resonators

2011 ◽  
Vol 35 (12) ◽  
pp. 5533-5552 ◽  
Author(s):  
M. Siewe Siewe ◽  
Usama H. Hegazy
Keyword(s):  
Chaos Control ◽  
Homoclinic Bifurcation ◽  
Bifurcation And Chaos ◽  
Mems Resonators

scholarly journals Stability, Bifurcation, and Chaos inN-Firm Nonlinear Cournot Games

2011 ◽  
Vol 2011 ◽  
pp. 1-22 ◽  
Author(s):  
Akio Matsumoto ◽  
Ferenc Szidarovszky
Keyword(s):  
Chaos Control ◽  
Adjustment Process ◽  
Bifurcation And Chaos ◽  
Adaptive Expectations ◽  
Special Cases ◽  
Adaptive Adjustment ◽  
Cournot Games ◽  
Best Responses ◽  
Linear Cost ◽  
Shed Light

AnN-firm production game known as oligopoly will be examined with isoelastic price function and linear cost under al Cournot competition. After the best responses of the firms are determined, a dynamic system with adaptive expectations is introduced. It is first shown that the local asymptotic behavior of the system is identical with that of the adaptive adjustment process in which the firms cautiously determine their outputs. Dynamic analysis is confined to two special cases, one in whichNis divided into two groups and the other in whichNis divided into three groups. Then stability conditions will be derived and the global behavior of the equilibria will be illustrated including chaos control. Lastly the two- and three-group models are compared with two-firm (duopoly) and three-firm (triopoly) models to shed light on roles of the number of the firms.

COMPLEXITY OF AN IVLEV'S PREDATOR-PREY MODEL WITH PULSE

2007 ◽  
Vol 10 (02) ◽  
pp. 217-231 ◽  
Author(s):  
GUOPING PANG ◽  
LANSUN CHEN
Keyword(s):  
Numerical Simulations ◽  
Functional Response ◽  
Period Doubling ◽  
Impulsive System ◽  
Bifurcation Diagrams ◽  
Bifurcation And Chaos ◽  
Dynamic Complexity ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Predator System

In this paper, we investigate the extinction, permanence and dynamic complexity of the two-prey, one-predator system with Ivlev's functional response and impulsive perturbation on the predator at fixed moments. Conditions for the extinction and permanence of the system are established via the comparison theorem. Numerical simulations are carried out to explain the conclusions we obtain. Furthermore, the resulting bifurcation diagrams clearly show that the impulsive system takes on many forms of complexity including period-doubling bifurcation, period-halving bifurcation, and chaos.

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