Bifurcation behavior and PDγ control mechanism of a fractional delayed genetic regulatory model

P Li, R Gao, C Xu, S Ahmad, Y Li, A Akgül - Chaos, Solitons & Fractals, 2023 - Elsevier
It is crucial for us to build genetic regulatory models to reveal the relationship between
genes and protein efficaciously. In this work, a novel fractional delayed genetic regulatory …

Explicit impacts of harvesting on a fractional-order delayed predator–prey model

B Bhunia, LT Bhutia, TK Kar, P Debnath - The European Physical Journal …, 2023 - Springer
We propose a fractional-order prey-predator model with delay and harvesting.
Comparatively, only a few analyses are made to explore the impact of harvesting on …

Quantifying the effects of temperature and predation on the growth of Aedes mosquito population

E Lusekelo, M Helikumi, D Kuznetsov… - Modeling Earth Systems …, 2023 - Springer
Despite having been tested in multiple settings, the quantitative impact of predatory aquatic
insects to reduce mosquito population remains unclear. To address this question, an …

[HTML][HTML] A nonlinear mathematical model on the dynamical study of a fractional-order delayed predator–prey scheme that incorporates harvesting together and Holling …

K Ramesh, GR Kumar, KS Nisar - Results in Applied Mathematics, 2023 - Elsevier
In the present investigation, the functional response of Holling type II and the impact of
harvesting together are used to analyse the dynamical behaviour of a fractional-order …

Bifurcation analysis of commensalism intraction and harvisting on food chain model

S Jawad, SK Hassan - Brazilian Journal of Biometrics, 2023 - ftpnucleo.ufla.br
In this paper, we study the incorporation of the commensalism interaction and harvesting on
the Lotka–Volterra food chain model. The system provides one commensal prey, one …

Stability analysis of fractional-order predator-prey system with consuming food resource

MS Arif, K Abodayeh, A Ejaz - Axioms, 2023 - mdpi.com
The cardinal element of ecology is the predator-prey relationship. The population of
interacting organisms is based on many factors such as food, water, space, and protection. A …

Bifurcation Exploration and Controller Design in a Fractional Oxygen–Plankton Model with Delay

Y Zhang, C Xu - Fractal and Fractional, 2024 - mdpi.com
Fractional-order differential equations have been proved to have great practical application
value in characterizing the dynamical peculiarity in biology. In this article, relying on earlier …

Complex Dynamics and Fractional-Order Optimal Control of an Epidemic Model with Saturated Treatment and Incidence

S Majee, TK Kar, S Jana, DK Das… - International Journal of …, 2023 - World Scientific
In this study, we have developed a novel SIR epidemic model by incorporating fractional-
order differential equations and utilizing saturated-type functions to describe both disease …

Investigation of an Interacting Fractional-Order Predator–Prey System in Presence of Fear and Harvesting

S Kumar, R Singh, RP Chauhan, NK Thakur - Iranian Journal of Science, 2023 - Springer
This paper analyzes a fractional-order prey–predator system in presence of harvesting and
fear effect. Analytically, the condition for existence, uniqueness, nonnegativity, and …

Modeling and analysis of fractional order logistic equation incorporating additive allee effect

P Kalra, N Malhotra - Contemporary Mathematics, 2024 - ojs.wiserpub.com
This study investigates the logistic model of a single species incorporating the additive Allee
effect using Caputo fractional order differential equations. The Allee effect describes a …