On approximate solutions for a fractional prey–predator model involving the Atangana–Baleanu derivative

B Ghanbari - Advances in Difference Equations, 2020 - Springer
Mathematical modeling has always been one of the most potent tools in predicting the
behavior of dynamic systems in biology. In this regard, we aim to study a three-species prey …

Dynamics of a delayed predator-prey system with stage structure and cooperation for preys

S Kundu, S Maitra - Chaos, Solitons & Fractals, 2018 - Elsevier
In this paper we have taken a delayed predator-prey system with stage structure among prey
species. We assume that there is cooperation among the mature and immature preys to …

Dynamical analysis of a delayed food chain model with additive Allee effect

S Vinoth, R Sivasamy, K Sathiyanathan… - Advances in Difference …, 2021 - Springer
Dynamical analysis of a delayed tri-trophic food chain consisting of prey, an intermediate,
and a top predator is investigated in this paper. The additive Allee effect is introduced in the …

Modeling the effect of fear in a prey–predator system with prey refuge and gestation delay

A Kumar, B Dubey - International Journal of Bifurcation and Chaos, 2019 - World Scientific
Recently, some field experiments and studies show that predators affect prey not only by
direct killing, they induce fear in prey which reduces the reproduction rate of prey species …

A study on chaos in crude oil markets before and after 2008 international financial crisis

S Lahmiri - Physica A: Statistical Mechanics and its applications, 2017 - Elsevier
The purpose of this study is to investigate existence of chaos in crude oil markets (Brent and
WTI) before and after recent 2008 international financial crisis. Largest Lyapunov exponent …

Codimension one and codimension two bifurcations in a discrete Kolmogorov type predator–prey model

AM Yousef, AM Algelany, AA Elsadany - Journal of Computational and …, 2023 - Elsevier
As is widely known, discrete-time models may be the suitable choice for identifying the
evolutionary behavior of a species or a taxonomic group of organisms with clearly separated …

Modeling the plankton–fish dynamics with top predator interference and multiple gestation delays

NK Thakur, A Ojha, D Jana, RK Upadhyay - Nonlinear Dynamics, 2020 - Springer
Many prey organisms have developed defense mechanisms against predation. If the
predator can encounter in a limited spatial domain, the feeding rates reflect interference …

Complex dynamics of a predator–prey system with fear and memory in the presence of two discrete delays

S Pal, A Gupta, AK Misra, B Dubey - The European Physical Journal Plus, 2023 - Springer
In this paper, we consider a two-species predator–prey model with fading memory, where
the growth rate of prey species is subject to predation induced fear. Growth rate of predator …

Cooperation delay induced chaos in an ecological system

S Pal, M Hossain, P Panday, NC Pati, N Pal… - … Journal of Nonlinear …, 2020 - pubs.aip.org
In the present paper, we investigate the impact of time delay during cooperative hunting in a
predator–prey model. We consider that cooperative predators do not aggregate in a group …

Supervised neural network procedures for the novel fractional food supply model

B Souayeh, Z Sabir, M Umar, MW Alam - Fractal and Fractional, 2022 - mdpi.com
This work presents the numerical performances of the fractional kind of food supply (FKFS)
model. The fractional kinds of the derivatives have been used to acquire the accurate and …