Title
Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition.
Abstract
The present paper considers a delayed generalized fractional-order prey-predator model with interspecific competition. The existence of the nontrivial positive equilibrium is discussed, and some sufficient conditions for global asymptotic stability of the equilibrium are developed. Meanwhile, the existence of Hopf bifurcation is discussed by choosing time delay as the bifurcation parameter. Finally, some numerical simulations are carried out to support the analytical results.
Year
DOI
Venue
2019
10.1016/j.amc.2018.11.016
Applied Mathematics and Computation
Keywords
Field
DocType
Fractional-order system,Time delay,Prey-predator model,Hopf bifurcation,Stability
Prey predator,Mathematical analysis,Fractional-order system,Exponential stability,Interspecific competition,Mathematics,Hopf bifurcation,Bifurcation
Journal
Volume
ISSN
Citations 
347
0096-3003
3
PageRank 
References 
Authors
0.38
9
4
Name
Order
Citations
PageRank
Zhen Wang17628.98
Yingkang Xie231.06
Junwei Lu338734.94
Yuxia Li433634.03