On the explosive instability in a three-species food chain model with modified Holling type IV functional response

2017 ◽  
Vol 40 (16) ◽  
pp. 5707-5726 ◽  
Author(s):  
Rana D. Parshad ◽  
Ranjit Kumar Upadhyay ◽  
Swati Mishra ◽  
Satish Kumar Tiwari ◽  
Swarnali Sharma
Keyword(s):  
Functional Response ◽  
Food Chain ◽  
Chain Model ◽  
Explosive Instability ◽  
Type Iv ◽  
Food Chain Model

Coexistence of species in a tritrophic food chain model with Holling functional response type IV

2018 ◽  
Vol 41 (16) ◽  
pp. 6683-6701 ◽  
Author(s):  
Gamaliel Blé ◽  
Víctor Castellanos ◽  
Miguel A. Dela-Rosa
Keyword(s):  
Functional Response ◽  
Food Chain ◽  
Chain Model ◽  
Response Type ◽  
Type Iv ◽  
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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