Rheology of MHD bioconvective nanofluid containing motile microorganisms is inspected numerically in order to analyze heat and mass transfer characteristics. Bioconvection implemented by combined effects magnetic field buoyancy force. Gyrotactic enhance the as well perk up nanomaterials’ stability. Variable transport properties along with assisting opposing flow situations are taken into accoun...

In this article, we develop a simple mathematical GNU Octave/MATLAB code that is easy to modify for the simulation of models governed by fractional-order differential equations, and resolution optimal control problems through Pontryagin's maximum principle (indirect approach control). For purpose, model respiratory syncytial virus (RSV) infection considered. The an improvement one first propose...

The Delta and Omicron variants’ system was used in this research study to replicate the complex process of SARS-CoV-2 outbreak. generalised fractional designed rigorously analysed order gain a comprehensive understanding transmission dynamics both variants. proposed dynamical has heredity memory effects, which greatly improved our ability perceive disease propagation dynamics. non-singular Atan...

This research study aims to investigate the effects of vaccination on reducing disease burden by analyzing a complex nonlinear ordinary differential equation system. The focuses five distinct sub-classes within system comprehensively explore impact vaccination. Specifically, mathematical model employed in this investigation is fractional representation tuberculosis, utilizing Atangana–Baleanu d...

Background: Cancer is the biggest cause of mortality globally, with approximately 10 million fatalities expected by 2020, or about one in every six deaths. Breast, lung, colon, rectum, and prostate cancers are most prevalent types cancer. Methods: In this work, fractional modeling presented which describes dynamics cancer treatment mixed therapies (immunotherapy chemotherapy). Mathematical mode...

This paper explored the impact of population symmetry on spread and control a norovirus epidemic. The study proposed mathematical model for epidemic that takes into account asymptomatic infected individuals vaccination effects using non-singular fractional operator Atanganaa–Baleanu Caputo (ABC). Fixed point theory, specifically Schauder Banach’s fixed was used to investigate existence uniquene...

This study aims to solve the nonlinear fractional-order mathematical model (FOMM) by using normal and dysregulated bone remodeling of myeloma disease (MBD). For more precise performance model, derivatives have been used numerically. The FOMM is preliminarily designed focus on critical interactions between resorption or osteoclasts (OC) formation osteoblasts (OB). connections OC OB are represent...

Abstract The purpose of this article is to formulate a simplified nonlinear fractional mathematical model illustrate the dynamics new coronavirus (COVID-19). Based on infectious characteristics COVID-19, population divided into five compartments: susceptible S ( t ), asymptomatic infection I unreported symptomatic U reported infections W T ) and recovered R collectively referred as (SIUWR). exi...

In this paper, we present a mathematical model for the study of resistance to tuberculosis treatment using fractional derivatives in Caputo sense. This takes into account relationship between Tuberculosis, HIV/AIDS, and diabetes differentiates cases MDR-TB (multidrug-resistant tuberculosis) XDR-TB (extensively drug-resistant tuberculosis). We basic results associated with behavior disease-free ...

The theme of this study is to present the impacts and importance fractional order derivatives susceptible, infected quarantine (SIQ) model based on coronavirus with lockdown effects. purpose these investigations achieve more accuracy use in SIQ model. integer, nonlinear mathematical system effects also provided study. are categorized into dynamics infective quarantine, generally known as system...