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 …

A delayed fractional order food chain model with fear effect and prey refuge

M Das, GP Samanta - Mathematics and Computers in Simulation, 2020 - Elsevier
A delayed fractional-order prey–predator system with fear (felt by prey) effect of predator on
prey population incorporating prey refuge has been proposed. We consider a three species …

Novel bifurcation results for a delayed fractional-order quaternion-valued neural network

C Huang, X Nie, X Zhao, Q Song, Z Tu, M ** from prey herd on three species fractional predator-prey interaction model
S Bentout, S Djilali, S Kumar - Physica A: Statistical Mechanics and its …, 2021 - Elsevier
This research investigates the impact of prey herd dread from the two types of predators
using a fractional-order-derivative model. The investigated model considers one type of prey …

Impact of fear effect and prey refuge on a fractional order prey–predator system with Beddington–DeAngelis functional response

N Zhang, Y Kao, B **e - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
In this article, a fractional-order prey–predator system with Beddington–DeAngelis functional
response incorporating two significant factors, namely, dread of predators and prey shelter …

[HTML][HTML] Fractional order PD control of the Hopf bifurcation of HBV viral systems with multiple time delays

Y Gao, N Li - Alexandria Engineering Journal, 2023 - Elsevier
This paper will explore a fractional-order hepatitis B virus (HBV) infection model that takes
into account cell-cell and virus-cell transmission and multiple treatment modalities. The …

Spatiotemporal dynamics optimization of a delayed reaction–diffusion mussel–algae model based on PD control strategy

P Zhu, M **ao, X Huang, F Zhang, Z Wang… - Chaos, Solitons & …, 2023 - Elsevier
The dynamic control over time evolution of ordinary differential systems has developed
rapidly in recent years, but how to control the spatiotemporal evolution dynamics of partial …

Bifurcation and control of a planktonic ecological system with double delays by delayed feedback control

Z Jiang, Y Zhao, X Bai, Z Zhang - Journal of the Franklin Institute, 2021 - Elsevier
In this paper, a delayed feedback controller with the delay-dependent coefficient is
introduced into a multiple delay phytoplankton-zooplankton system. For uncontrolled …

Bifurcation control of a fractional-order PD control strategy for a delayed fractional-order prey–predator system

L Lu, C Huang, X Song - The European Physical Journal Plus, 2023 - Springer
A fractional-order proportional-derivative controller is constructed to give control over the
bifurcation of a delayed fractional-order prey–predator system. Firstly, selecting time delay …