Bifurcation insight for a fractional‐order stage‐structured predator–prey system incorporating mixed time delays

C Xu, W Zhang, C Aouiti, Z Liu… - Mathematical Methods in …, 2023 - Wiley Online Library
In this study, we principally investigate a fractional‐order stage‐structured predator–prey
system including distributed time delays and discrete time delays. Taking advantage of …

Intermittent control for finite-time synchronization of fractional-order complex networks

L Zhang, J Zhong, J Lu - Neural Networks, 2021 - Elsevier
This paper is concerned with the finite-time synchronization problem for fractional-order
complex dynamical networks (FCDNs) with intermittent control. Using the definition of …

Dynamics exploration for a fractional-order delayed zooplankton–phytoplankton system

P Li, R Gao, C Xu, Y Li, A Akgül, D Baleanu - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we are concerned with the dynamics of a new established fractional-order
delayed zooplankton–phytoplankton system. The existence and uniqueness of the solution …

Theoretical analysis and computer simulations of a fractional order bank data model incorporating two unequal time delays

C Xu, Z Liu, M Liao, L Yao - Expert Systems with Applications, 2022 - Elsevier
In order to reveal the change law of bank data and manage bank effectively, building
mathematical models is a very effective approach. In this present study, we set up a novel …

Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population

B Ghanbari, S Djilali - Chaos, Solitons & Fractals, 2020 - Elsevier
This manuscript aims to consider a variety of fractional predator-prey models in the presence
of an infection developed in the predator population. The crowding behavior plays an …

Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives

SJ Achar, C Baishya… - Mathematical Methods in …, 2022 - Wiley Online Library
Wireless sensor networks (WSNs) are subject to cyber attacks. Security of such networks is a
significant priority for everyone. Due to the network's frail defense mechanisms, WSNs are …

Mathematical and numerical analysis of a three‐species predator‐prey model with herd behavior and time fractional‐order derivative

B Ghanbari, S Djilali - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we investigate with a time fractional‐order derivative in a three‐species
predator‐prey model with the presence of prey social behavior. A new approximation for …

Stability and Hopf bifurcation of a delayed prey–predator model with disease in the predator

C Huang, H Zhang, J Cao, H Hu - International Journal of …, 2019 - World Scientific
Dealing with the epidemiological prey–predator is very important for us to understand the
dynamical characteristics of population models. The existing literature has shown that …

Bifurcations in a fractional-order neural network with multiple leakage delays

C Huang, H Liu, X Shi, X Chen, M **ao, Z Wang, J Cao - Neural Networks, 2020 - Elsevier
This paper expatiates the stability and bifurcation for a fractional-order neural network
(FONN) with double leakage delays. Firstly, the characteristic equation of the developed …

Dynamics of fractional model of biological pest control in tea plants with Beddington–DeAngelis functional response

SJ Achar, C Baishya, P Veeresha, L Akinyemi - Fractal and Fractional, 2021 - mdpi.com
In this study, we depicted the spread of pests in tea plants and their control by biological
enemies in the frame of a fractional-order model, and its dynamics are surveyed in terms of …