scholarly journals Optimal Harvesting Policies for a Stochastic Food-Chain System with Markovian Switching

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Yanming Ge ◽  
Yifan Xu
Keyword(s):  
Food Chain ◽  
Markovian Switching ◽  
Optimal Harvesting ◽  
Optimal Harvesting Policy ◽  
Chain System ◽  
Persistent In Mean

An optimal harvesting problem for a stochastic food-chain system with Markovian switching is investigated in this paper. Firstly, the existence, uniqueness, and positivity of the food-chain system’s solution are proved. Secondly, persistent in mean of the system is obtained. Then the optimal harvesting policy is discussed. Finally, the main results are illustrated by several examples.

Dynamic Analysis of a Three-Species Food Chain System with Intra-Specific Competition

2021 ◽  
Vol 9 (2) ◽  
pp. 127-143
Author(s):  
Lakshmi Narayan Guin ◽  
Debdeep Roy ◽  
Salih Djilali
Keyword(s):  
Dynamic Analysis ◽  
Food Chain ◽  
Chain System

Harvesting Analysis of a Predator-Prey System with Functional Response

2013 ◽  
Vol 805-806 ◽  
pp. 1957-1961
Author(s):  
Ting Wu
Keyword(s):  
Numerical Simulation ◽  
Equilibrium Point ◽  
Functional Response ◽  
Sufficient Conditions ◽  
Optimal Harvesting ◽  
Predator Prey ◽  
Optimal Harvesting Policy ◽  
Prey System ◽  
The Stability ◽  
Maximal Principle

In this paper, a predator-prey system with functional response is studied,and a set of sufficient conditions are obtained for the stability of equilibrium point of the system. Moreover, optimal harvesting policy is obtained by using the maximal principle,and numerical simulation is applied to illustrate the correctness.

scholarly journals Experimental aquatic food chain system: Enhancing Daphnia magna as natural feed using eutrophic waters

2020 ◽  
Vol 535 ◽  
pp. 012052
Author(s):  
L R Tanjung ◽  
T Chrismadha ◽  
Y Mardiati ◽  
Sutrisno ◽  
E Mulyana ◽  
...  
Keyword(s):  
Daphnia Magna ◽  
Food Chain ◽  
Chain System ◽  
Aquatic Food Chain ◽  
Aquatic Food

Bifurcation Dynamics and Pattern Formation of a Three-Species Food Chain System with Discrete Spatiotemporal Variables

2019 ◽  
Vol 74 (11) ◽  
pp. 945-959
Author(s):  
Huayong Zhang ◽  
Ge Pan ◽  
Tousheng Huang ◽  
Tianxiang Meng ◽  
Jieru Wang ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Food Chain ◽  
Complex Dynamics ◽  
Period Doubling ◽  
Turing Instability ◽  
Flip Bifurcation ◽  
Chain System ◽  
Self Organized ◽  
New Perspective ◽  
Centre Manifold Theorem

AbstractThe bifurcation dynamics and pattern formation of a discrete-time three-species food chain system with Beddington–DeAngelis functional response are investigated. Via applying the centre manifold theorem and bifurcation theorems, the occurrence conditions for flip bifurcation and Neimark–Sacker bifurcation as well as Turing instability are determined. Numerical simulations verify the theoretical results and reveal many interesting dynamic behaviours. The flip bifurcation and the Neimark–Sacker bifurcation both induce routes to chaos, on which we find period-doubling cascades, invariant curves, chaotic attractors, sub–Neimark–Sacker bifurcation, sub–flip bifurcation, chaotic interior crisis, sub–period-doubling cascade, periodic windows, sub–periodic windows, and various periodic behaviours. Moreover, the food chain system exhibits various self-organized patterns, including regular and irregular patterns of stripes, labyrinth, and spiral waves, suggesting the populations can coexist in space as many spatiotemporal structures. These analysis and results provide a new perspective into the complex dynamics of discrete food chain systems.

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