Hopf Bifurcation and Singularity Induced Bifurcation in a Leslie-Gower Predator-Prey System with Nonlinear Harvesting
Year: 2020
Author: Wei Liu, Yaolin Jiang
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 181–216
Abstract
A modified predator-prey model with a new nonlinear harvesting on predator and gestation delay of prey is studied. It is shown that the stability of interior equilibrium point can switch finite times and Hopf bifurcations occur when delay increases through critical values. The properties of the Hopf bifurcations are investigated by the center manifold theorem. Special attention is paid to singularity-induced bifurcations and their state feedback control. Numerical simulations demonstrate the effectiveness of the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.030519.110719
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 181–216
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 36
Keywords: Predator-prey nonlinear harvesting delay Hopf bifurcation singularity-induced bifurcation.
Author Details
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Mathematical Scrutiny of Singular Predator-Prey Model with Stage-Structure of Prey
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