Dynamic properties for a stochastic food chain model

2022 ◽  
Vol 155 ◽  
pp. 111713
Author(s):  
Xiaoling Zou ◽  
Pengyu Ma ◽  
Liren Zhang ◽  
Jingliang Lv
Keyword(s):  
Food Chain ◽  
Dynamic Properties ◽  
Chain Model ◽  
Food Chain Model

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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