Dynamics of three-species food chain model with two delays of fear

2021 ◽  
Author(s):  
Renxiang Shi ◽  
Zonghai Hu
Keyword(s):  
Food Chain ◽  
Chain Model ◽  
Two Delays ◽  
Food Chain Model

Stability and Hopf Bifurcation of a Fractional-Order Food Chain Model With Disease and Two Delays

2020 ◽  
Vol 15 (3) ◽  
Author(s):  
Xinhe Wang ◽  
Zhen Wang ◽  
Xiao Shen
Keyword(s):  
Fractional Order ◽  
Food Chain ◽  
Positive Equilibrium ◽  
Chain Model ◽  
Two Delays ◽  
Existence Conditions ◽  
Positive Equilibrium Point ◽  
The Stability ◽  
Food Chain Model ◽  
Bifurcation And Stability

Abstract In this study, a fractional-order food chain model with disease and two delays is proposed. The existence conditions for a positive equilibrium point are given, and the stability conditions without the effects of delays are established. The effects of a single time delay and two time delays are discussed, the bifurcation and stability criteria are obtained, and the bifurcation points are calculated. To support the theoretical analysis, numerical simulations are presented.

scholarly journals Chaos in Beddington–DeAngelis food chain model with fear

2020 ◽  
Vol 1591 ◽  
pp. 012082
Author(s):  
Hiba Abdullah Ibrahim ◽  
Raid Kamel Naji
Keyword(s):  
Food Chain ◽  
Chain Model ◽  
Food Chain Model

Bifurcations and multistability in a food chain model with nanoparticles

2021 ◽  
Author(s):  
Mainul Hossain ◽  
N.C. Pati ◽  
Saheb Pal ◽  
Sourav Rana ◽  
Nikhil Pal ◽  
...  
Keyword(s):  
Food Chain ◽  
Chain Model ◽  
Food Chain Model

Return time and vulnerability for a food chain model

1979 ◽  
Vol 15 (2) ◽  
pp. 217-231 ◽  
Author(s):  
Thomas L. Vincent ◽  
Leonard R. Anderson
Keyword(s):  
Food Chain ◽  
Return Time ◽  
Chain Model ◽  
Food Chain Model

Qualitative Analysis of Three-Dimensional Single Food-Chain Model with Variable Consumption Rate in Chemostat

2014 ◽  
Vol 955-959 ◽  
pp. 463-470
Author(s):  
Jing Liu ◽  
Hong Wei Jiang ◽  
Chao Liu
Keyword(s):  
Food Chain ◽  
Consumption Rate ◽  
Three Dimensional ◽  
Quadratic Function ◽  
Positive Equilibrium ◽  
Chain Model ◽  
Equilibrium Solutions ◽  
Existence And Stability ◽  
Variable Consumption ◽  
Food Chain Model

The paper studies three-dimensional food-chain model with variable consumption rate in Chemostat. Assume the prey population's consumption rate of the nutrients is quadratic function, and the predator's consumption rate of the prey population is linear function. Use qualitative theory of ordinary differential equation to analyze the equilibrium solution of the model, especially the existence and stability of positive equilibrium solutions and Hopf bifurcation solutions. Finally,several numerical simulations illustrating the theoretical analysis are also given.

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