Fear Effect in a Tri-Trophic Food Chain Model with Holling Type IV Functional Response

2021 ◽  
Vol 9 (3) ◽  
Author(s):  
Krishnendu Sarkar ◽  
Nijamuddin Ali ◽  
Lakshmi Narayan Guin
Keyword(s):  
Functional Response ◽  
Food Chain ◽  
Chain Model ◽  
Type Iv ◽  
Fear Effect ◽  
Food Chain Model

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

Chaotic Dynamics of a Tri-Topic Food Chain Model with Beddington-DeAngelis Functional Response in Presence of Fear Effect

2021 ◽  
Author(s):  
Surajit Debnath ◽  
Prahlad Majumdar ◽  
Susmita Sarkar ◽  
Uttam Ghosh
Keyword(s):  
Functional Response ◽  
Food Chain ◽  
Evolutionary Biology ◽  
Chain Model ◽  
Interacting Species ◽  
Predator Attack ◽  
Fear Effect ◽  
Experimental Works ◽  
Food Chain Model ◽  
The Impact

Abstract The most important fact in the field of theoretical ecology and evolutionary biology is the strategy of predation for predators and the avoidance of prey from predator attack. A lot of experimental works suggest that the reduction of prey depends on both direct predation and fear of predation. We explore the impact of fear effect and mutual interference into a three-species food chain model. In this manuscript, we have considered a tri-topic food web model with Beddington-DeAngelis functional response between interacting species, incorporating the reduction of prey and intermediate predator growth because of the fear of intermediate and top predator respectively. We have provided parametric conditions on the existence of biologically feasible equilibria as well as their local and global stability also. We have established conditions of transcritical, saddle-node and Hopf bifurcation in vicinity of different equilibria. Finally, we performed some numerical investigations to justify analytical findings.Mathematics Subject Classification : 39A30, 92D25, 92D50.

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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