New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays

C Xu, D Mu, Z Liu, Y Pang, M Liao, C Aouiti - Communications in Nonlinear …, 2023 - Elsevier
Delay has a vital influence on the dynamics of neural networks. Exploring the effect of time
delay on the dynamics of neural networks has become a hot issue in mathematics and …

[HTML][HTML] Analysis of fractional model of guava for biological pest control with memory effect

J Singh, B Ganbari, D Kumar, D Baleanu - Journal of Advanced Research, 2021 - Elsevier
Introduction Fractional operators find their applications in several scientific and engineering
processes. We consider a fractional guava fruit model involving a non-local additionally non …

Impact of fear in a delay-induced predator–prey system with intraspecific competition within predator species

BK Das, D Sahoo, GP Samanta - Mathematics and Computers in Simulation, 2022 - Elsevier
In theoretical ecology, predator–prey interaction is a natural phenomenon that significantly
contributes for shaping the community structure and maintaining the ecological diversity. In …

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 …

Effects of fear in a fractional-order predator-prey system with predator density-dependent prey mortality

FB Yousef, A Yousef, C Maji - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, we have formulated a fractional-order predator-prey system with fear effect,
where the death rate of the prey population is predator density-dependent. Generally, most …

Dynamics of a Leslie–Gower model with weak Allee effect on prey and fear effect on predator

T Liu, L Chen, F Chen, Z Li - International Journal of Bifurcation and …, 2023 - World Scientific
In this paper, a Leslie–Gower model with weak Allee effect on prey and fear effect on
predator is proposed. Compared with the case without fear effect on predator, the new …

Stability analysis of a Leslie–Gower model with strong Allee effect on prey and fear effect on predator

T Liu, L Chen, F Chen, Z Li - International Journal of Bifurcation and …, 2022 - World Scientific
In this paper, we propose a Leslie–Gower predator–prey model with strong Allee effect on
prey and fear effect on predator. We discuss the existence and local stability of equilibria by …

Oscillatory and transient dynamics of a slow–fast predator–prey system with fear and its carry-over effect

D Sahoo, G Samanta - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
In almost every ecological system, growth of various interacting species evolve in different
time scales and the implementation of this time scale difference in the corresponding …

Impact of fear effect in a two prey-one predator system with switching behaviour in predation

D Sahoo, GP Samanta - differential equations and dynamical systems, 2024 - Springer
We study a class of models in which generalist predator utilizes two distinct prey species as
their food sources. Several field data and experiments exhibit that predator may switch it's …

Impact of fear on a predator–prey system with prey-dependent search rate in deterministic and stochastic environment

S Mondal, GP Samanta - Nonlinear Dynamics, 2021 - Springer
A modified Holling type II (variable predator search rate rather than constant) predator–prey
interaction has been proposed where apart from direct consumption the prey biomass is …