Global dynamics and numerical bifurcation of a bioeconomic system
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-9-2_008
Index date: 4 February 2023
Global dynamics and numerical bifurcation of a bioeconomic system abstract
A predator-prey model was extended to include nonlinear harvesting of the predator guided by its population, such that harvesting is only implemented if the predator population exceeds an economic threshold. Theoretical results showed that the harvesting system undergoes multiple bifurcations, including fold, supercritical Hopf, Bogdanov-Takens and cusp bifurcations. We determine stability and dynamical behaviors of the equilibrium of this system. Numerical simulation results are given to support our theoretical results.
Global dynamics and numerical bifurcation of a bioeconomic system Keywords:
Global dynamics and numerical bifurcation of a bioeconomic system authors
Zeynab Lajmiri
Sama technical and vocational training college, Islamic Azad University Izeh Branch, Izeh, Iran.
Iman Orak
Sama technical and vocational training college, Islamic Azad University Izeh Branch, Izeh, Iran.
Reza Fereidooni
Research and development manager of oxin steel company of khozestan, Iran.