Adjustment submersible cages for optimal fish farming: improved spatiotemporal Lotka–Volterra model for n species in partitioned area

Bouaine, Amine; Rachik, Mostafa

doi:10.1007/s40435-017-0329-3

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Equilibrium Points and Stability Analysis1

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2023

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“…Bouaine and Rachik established an improved spatiotemporal discrete LV model, including different species occupying a three-dimensional area and obeying any complex marine food chain. The method's effectiveness was validated by numerical simulation [22].…”

Section: Related Workmentioning

confidence: 99%

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Ecosystem Stability Analysis and Numerical Simulation via Three Improved Lotka-Volterra Models

Wang,

Zhou,

Wang

2023

Fuzzy Systems and Data Mining IX

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This study analyzed the stability of predator-prey ecosystem (including the sensitivity of the initial value and coefficient) via the original Lotka-Volterra model and three improved models. The first improved model considered the impact of hunting and internal competition on the ecosystem, the second introduced the second prey to the original model, while the third added the second-type predator and the second-type prey to the original system. The performed numerical simulation of the original and three improved models proved instability of the ecosystem represented by the original Lotka-Volterra model and the stability of those represented by all three improved models.

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Section: Related Workmentioning

confidence: 99%

“…After obtaining the Jacobian matrix, it is necessary to check whether the equilibrium solution is stable. The value of ω can be used as the judgment basis (see [22]). The characteristic equation has the following form:…”

Section: Equilibrium Points and Stability Analysismentioning

confidence: 99%