Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
PUSHPA PUBLISHING HOUSE
DOI: 10.1186/s13662-018-1776-7
Keywords
Stability; Fractional-order; Predator-prey model; Prey refuge; Feedback control
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Funding
- Natural Science Foundation of Xinjiang [2017D01C082]
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In this paper, a kind of fractional-order predator-prey (FOPP) model with a constant prey refuge and feedback control is considered. By analyzing characteristic equations, we carry out detailed discussion with respect to stability of equilibrium points of the considered FOPP model. Besides, the effects of prey refuge and feedback control are also studied by numerical analysis. Our study reveals that prey refuge and feedback control can be used to adjust the biomass of prey species and predator species such that prey species and predator species finally reach a better state level.
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