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 …

[PDF][PDF] Hopf bifurcation exploration and control technique in a predator-prey system incorporating delay

W Ou, C Xu, Q Cui, Y Pang, Z Liu, J Shen, MZ Baber… - Aims Math, 2024 - researchgate.net
Recently, delayed dynamical model has witnessed a great interest from many scholars in
biological and mathematical areas due to its potential application in describing the …

Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators

FA Rihan, C Rajivganthi - Chaos, Solitons & Fractals, 2020 - Elsevier
In this work, we study the dynamics of a fractional-order delay differential model of prey-
predator system with Holling-type III and predator population is infected by an infectious …

Fractional-order PD control at Hopf bifurcation in a delayed predator–prey system with trans-species infectious diseases

W Du, M Xiao, J Ding, Y Yao, Z Wang… - … and Computers in …, 2023 - Elsevier
In this paper, a delayed fractional-order predator–prey system with trans-species infectious
diseases is proposed and the corresponding control strategy is implemented via fractional …

A study on fractional predator–prey–pathogen model with Mittag–Leffler kernel‐based operators

B Ghanbari, S Kumar - Numerical Methods for Partial …, 2024 - Wiley Online Library
This paper aims to present a novel study on the dynamics of a fractional predator–prey–
pathogen model to investigate the existence of the chaos in the model. We applied the …

[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 …

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 …

Dynamics of a fractional order predator-prey model with intraguild predation

P Panja - International Journal of Modelling and Simulation, 2019 - Taylor & Francis
In this paper, a fractional order predator–prey mathematical model has been developed. In
this model, the concept of intraguild predation has been introduced. It is assumed that …

Fractional-order PID controller synthesis for bifurcation of fractional-order small-world networks

M Xiao, B Tao, WX Zheng… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Bifurcation control remains largely unresolved for fractional-order dynamical systems. This
article addresses the optimal control issue of bifurcation for a delayed complex networks …

Climate change effects on fractional order prey-predator model

Y Sekerci - Chaos, Solitons & Fractals, 2020 - Elsevier
The key issue in ecology is how environmental changes associated with global climate
change, specifically rising temperatures influence relationships of species. Predation is one …