scholarly journals The Existence of Periodic Solution of a Non-Autonomous Food Chain Model with Allee Effect and Ratio-Dependent Functional Response

2013 ◽  
Vol 03 (01) ◽  
pp. 87-94
Author(s):  
亚萍 赵
Keyword(s):  
Periodic Solution ◽  
Functional Response ◽  
Food Chain ◽  
Allee Effect ◽  
Chain Model ◽  
Ratio Dependent ◽  
Food Chain Model

RICH DYNAMICS OF A TIME-DELAYED FOOD CHAIN MODEL

2006 ◽  
Vol 14 (03) ◽  
pp. 387-412 ◽  
Author(s):  
ALAKES MAITI ◽  
G. P. SAMANTA
Keyword(s):  
Computer Simulation ◽  
Time Delay ◽  
Functional Response ◽  
Food Chain ◽  
Complex Dynamics ◽  
Chain Model ◽  
Dynamical Behaviors ◽  
Discrete Time Delay ◽  
Food Chain Model ◽  
Practical Implications

Complex dynamics of a tritrophic food chain model is discussed in this paper. The model is composed of a logistic prey, a classical Lotka-Volterra functional response for prey-predator and a ratio-dependent functional response for predator-superpredator. Dynamical behaviors such as boundedness, stability and bifurcation of the model are studied critically. The effect of discrete time-delay on the model is investigated. Computer simulation of various solutions is presented to illustrate our mathematical findings. How these ideas illuminate some of the observed properties of real populations in the field is discussed and practical implications are explored.

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