Recent advancement of fractional calculus and its applications in physical systems

S Boulaaras, R Jan, VT Pham - The European Physical Journal Special …, 2023 - Springer
Fractional calculus is particularly useful for describing the behavior of complex physical
systems. Many natural phenomena exhibit nonlocal characteristics, meaning that their …

[HTML][HTML] Genetic differentiation of prey predator interaction model along with an Holling type-II functional response

GS Kumar, C Gunasundari, SM Boulaaras… - … Differential Equations in …, 2024 - Elsevier
Prey–predator models play a vital role in mathematical biology. The competition that evolves
between them is addressed in a broad scenario. According to genetics theory, various …

[HTML][HTML] Mathematical modeling of COVID-19 with the effects of quarantine and detection

M Aakash, C Gunasundari, S Athithan… - … Differential Equations in …, 2024 - Elsevier
In this paper, we focus on exploring a mathematical model that captures the dynamics of
Corona Virus Disease (COVID-19), particularly emphasizing the influence of quarantine …

[HTML][HTML] Diffusion and distributed delay effects in a predator–prey system: A mathematical analysis

NB Sharmila, C Gunasundari, SM Boulaaras… - … Differential Equations in …, 2024 - Elsevier
This study explores a nonautonomous model of prey-predator dynamics, featuring
continuous distributed delay and diffusion, with time-dependent parameters. Our model …

Stability switches via endemic bubbles in a COVID-19 model examining the effect of mask usage and saturated treatment with reinfection

A Devi, A Adak, PK Gupta - Journal of Applied Mathematics and …, 2024 - Springer
We propose a population dynamical model for SARS-CoV-2 that takes into account mask
compliance and effectiveness, in the context of saturated treatment. This model also …

[HTML][HTML] Mathematical insights into the SEIQRD model with Allee and fear dynamics in the context of COVID-19

M Aakash, C Gunasundari, S Sabarinathan… - … Differential Equations in …, 2024 - Elsevier
In this study, we introduce and investigate the SEIQRD COVID-19 model incorporating Allee
and fear effects. Employing the next-generation matrix method, we derive the basic …

[PDF][PDF] Potential for eliminating COVID-19 in Thailand through third-dose vaccination: A modeling approach

P Kreabkhontho, W Teparos… - Mathematical Biosciences …, 2024 - aimspress.com
The COVID-19 pandemic continues to pose significant challenges to global public health,
necessitating the development of effective vaccination strategies to mitigate disease …

Analysis of Dynamics of a Recurrent Infectious Disease SIRS Model with Age Structure and Two Delays

L Jia, H Tan, H Cao - International Journal of Bifurcation and Chaos, 2024 - World Scientific
In this paper, an SIRS model with age structure is proposed for recurrent infectious diseases
by incorporating infectious delay and temporary immunity delay. Analysis shows that the …

[PDF][PDF] The Optimal Control Methods for the Covid-19 Pandemic Model's Precise and Practical SIQR Mathematical Model.

R Ramesh, GA Joseph - IAENG International Journal of Applied …, 2024 - iaeng.org
The study employs sensitivity analysis and optimal control algorithms to understand the
dynamics of COVID-19 comprehensively. It assesses the stability of equilibrium points and …

SEIHR model for Indian COVID-19: trustworthiness of the government regulatory procedure for coronavirus aspects

R Ramesh, GA Joseph - Commun. Math. Biol. Neurosci., 2024 - scik.org
In this research paper the identification and large implementation of a powerful SARS-CoV-2
vaccine may prevent considerable illnesses and fatalities from COVID-19 while minimizing …