Literature DB >> 33286739

Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior.

Rohisha Tuladhar1, Fidel Santamaria1, Ivanka Stamova2.   

Abstract

We present a biological fractional n-species delayed cooperation model of Lotka-Volterra type. The considered fractional derivatives are in the Caputo sense. Impulsive control strategies are applied for several stability properties of the states, namely Mittag-Leffler stability, practical stability and stability with respect to sets. The proposed results extend the existing stability results for integer-order n-species delayed Lotka-Volterra cooperation models to the fractional-order case under impulsive control.

Entities:  

Keywords:  Mittag-Leffler stability; biological Lotka-Volterra cooperation networks; fractional derivatives; impulsive control; practical stability; stability of sets

Year:  2020        PMID： 33286739      PMCID： PMC7597273          DOI： 10.3390/e22090970

Source DB:  PubMed          Journal:  Entropy (Basel)        ISSN： 1099-4300            Impact factor:   2.524


  10 in total

1.  A mathematical model on fractional Lotka-Volterra equations.

Authors:  S Das; P K Gupta
Journal:  J Theor Biol       Date:  2011-02-03       Impact factor: 2.691

2.  Fractional gray Lotka-Volterra models with application to cryptocurrencies adoption.

Authors:  P Gatabazi; J C Mba; E Pindza
Journal:  Chaos       Date:  2019-07       Impact factor: 3.642

3.  Global Mittag-Leffler stability analysis of fractional-order impulsive neural networks with one-side Lipschitz condition.

Authors:  Xinxin Zhang; Peifeng Niu; Yunpeng Ma; Yanqiao Wei; Guoqiang Li
Journal:  Neural Netw       Date:  2017-07-06

4.  Practical stability analysis of fractional-order impulsive control systems.

Authors:  Ivanka Stamova; Johnny Henderson
Journal:  ISA Trans       Date:  2016-06-09       Impact factor: 5.468

5.  Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes.

Authors:  Xiaoshuai Ding; Jinde Cao; Xuan Zhao; Fuad E Alsaadi
Journal:  Proc Math Phys Eng Sci       Date:  2017-08-02       Impact factor: 2.704

6.  Mittag-Leffler synchronization of fractional neural networks with time-varying delays and reaction-diffusion terms using impulsive and linear controllers.

Authors:  Ivanka Stamova; Gani Stamov
Journal:  Neural Netw       Date:  2017-09-08

7.  Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses.

Authors:  A Pratap; R Raja; C Sowmiya; O Bagdasar; Jinde Cao; G Rajchakit
Journal:  Neural Netw       Date:  2018-04-04

8.  Neuronal spike timing adaptation described with a fractional leaky integrate-and-fire model.

Authors:  Wondimu Teka; Toma M Marinov; Fidel Santamaria
Journal:  PLoS Comput Biol       Date:  2014-03-27       Impact factor: 4.475

9.  Maximum entropy methods for extracting the learned features of deep neural networks.

Authors:  Alex Finnegan; Jun S Song
Journal:  PLoS Comput Biol       Date:  2017-10-30       Impact factor: 4.475

10.  Memory and mutualism in species sustainability: A time-fractional Lotka-Volterra model with harvesting.

Authors:  Mohammad M Amirian; I N Towers; Z Jovanoski; Andrew J Irwin
Journal:  Heliyon       Date:  2020-09-01
  10 in total

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