scholarly journals Local and global dynamics of a fractional-order predator–prey system with habitat complexity and the corresponding discretized fractional-order system

2020 ◽  
Vol 63 (1-2) ◽  
pp. 311-340
Author(s):  
Shuvojit Mondal ◽  
Milan Biswas ◽  
Nandadulal Bairagi
Keyword(s):  
Fractional Order ◽  
Habitat Complexity ◽  
Fractional Order System ◽  
Order System ◽  
Global Dynamics ◽  
Predator Prey ◽  
Prey System ◽  
Local And Global Dynamics

Adaptive Synchronization of a Stochastic Fractional-Order System

2015 ◽  
Vol 733 ◽  
pp. 939-942
Author(s):  
Xiao Jun Liu
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Stochastic System ◽  
Fractional Order System ◽  
Adaptive Synchronization ◽  
Order System ◽  
Unknown Parameters ◽  
Adaptive Laws

In this paper, adaptive synchronization of a stochastic fractional-order system with unknown parameters is studied. Firstly, the stochastic system is reduced into the equivalent deterministic one with Laguerre approximation. Then, the synchronization for the system is realized by designing appropriate controllers and adaptive laws of the unknown parameters. Numerical simulations are carried out to demonstrate the effectiveness of the controllers and laws.

Dynamic analysis of a fractional order delayed predator–prey system with harvesting

2016 ◽  
Vol 135 (1-2) ◽  
pp. 59-72 ◽  
Author(s):  
Ping Song ◽  
Hongyong Zhao ◽  
Xuebing Zhang
Keyword(s):  
Dynamic Analysis ◽  
Fractional Order ◽  
Predator Prey ◽  
Prey System

scholarly journals Fractional-order iterative learning control for singular fractional- order system: (P) - PDa type

2016 ◽  
Vol 66 (3) ◽  
pp. 40-49 ◽  
Author(s):  
Mihailo Lazarevic ◽  
Nikola Djurovic ◽  
Bosko Cvetkovic ◽  
Petar Mandic ◽  
Ljubisa Bucanovic
Keyword(s):  
Fractional Order ◽  
Iterative Learning Control ◽  
Learning Control ◽  
Iterative Learning ◽  
Fractional Order System ◽  
Order System ◽  
System P

Global dynamics of a ratio-dependent predator-prey system

2001 ◽  
Vol 43 (3) ◽  
pp. 268-290 ◽  
Author(s):  
Dongmei Xiao ◽  
Shigui Ruan
Keyword(s):  
Global Dynamics ◽  
Predator Prey ◽  
Prey System ◽  
Ratio Dependent
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