Bifurcations and simulations of two predator–prey models with nonlinear harvesting

Yunfei Lv, Yongzhen Pei and Yong Wang

Chaos, Solitons & Fractals, 2019, vol. 120, issue C, 158-170

Abstract: We propose and investigate a predator-prey model with selective nonlinear harvesting for the prey and predator, such harvesting increases smoothly to a limit value when the density of harvested population is large enough. The existence of nonlinear harvesting makes the dynamics of the model more complicated, including multiple equilibria, limit cycle, heteroclinic and homoclinic orbit, bistability, saddle-node bifurcation, transcritical bifurcation, subcritical and supercritical Hopf bifurcation and Bogdanov–Takens bifurcation. Furthermore, some numerical simulations are given to illustrate these results.

Keywords: Multiple equilibria; Bistability; Hopf-bifurcation; Saddle-node bifurcation; Bogdanov–Takens bifurcation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:120:y:2019:i:c:p:158-170

DOI: 10.1016/j.chaos.2018.12.038

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