It is significant to investigate the transmission dynamics of vector-borne infection because it has a global impact, can help predict and prevent future outbreaks, important for understanding impact climate change on public health, lead more effective control strategies, improve our comprehension these infections. Our paper presents new model chikungunya virus infection, which considers treatment vaccination, using Atangana-Baleanu derivative within framework Caputo definition. First all, we...

Viral infections pose significant threats to public health globally. Understanding the behavior, transmission, and epidemiology of viruses is essential for developing strategies prevent, control, manage outbreaks. Mathematical models help in identifying emerging viral pathogens, assessing their risks, implementing effective measures mitigate impact. In this work, we formulate dynamics Covid-19 infection with effect vaccination fractional framework. Our study mainly concerned dynamical...

Abstract It is well known that viral infections have a high impact on public health in multiple ways, including disease burden, outbreaks and pandemic, economic consequences, emergency response, strain healthcare systems, psychological social effects, the importance of vaccination. Mathematical models help policymakers researchers to understand how diseases can spread, predict potential interventions, make informed decisions control manage outbreaks. In this work, we formulate mathematical...

<abstract><p>The infection caused by Rift Valley fever (RVF) virus is a dangerous vector-borne disease found in humans, domestic, and wild animals. It transferred through insect vectors to ruminant host then spread direct contact of infected animals with their body fluid or organs. In this paper, fractal-fractional model for the transmission RVF Caputo's sense was presented. We analyzed determined basic reproduction number next-generation matrix technique, indicated $...

<abstract> <p>In this study, we formulate a mathematical model in the framework of Atangana-Baleanu fractional derivative Caputo sense to study transmission tungiasis. In formulation, interactions between human host and sand fleas are taken into consideration, including factors like infestation rate, incubation duration, recovery rate. We calculate basic reproduction parameter for system, symbolized by $\mathcal{R}_0$ with help next-generation matrix technique. A novel numerical...

In this study, a hybrid numerical method is applied to solve the time-fractional Black-Scholes model for various options, including traditional (European and American) as well non-standard options (such butterfly spread, double barrier, digital options). The combines fractional Liouville-Caputo scheme time derivatives with Strang splitting algorithm, while meshless approach based on Lucas Fibonacci polynomials used spatial derivatives. Numerical experiments are conducted using $L_{\infty}$...

The interaction between cancer and HIV underscores the paramount significance of immune response mechanisms in both diseases, illuminating necessity for tailored management treatment approaches to address individuals living with HIV. In this study, a mathematical model is formulated conceptualize tumors relation system's response. basic theory concepts Caputo-Fabrizio operator are presented analyze recommended dynamics. dynamics tumor interactions context systematically investigated. A...

Hepatitis B is a viral infection that primarily targets the liver, potentially causing acute or chronic liver diseases with severe complications, such as cirrhosis and cancer. Its persistent prevalence underscores its status noteworthy global health issue. In this research, we construct mathematical model for progression of hepatitis through fractional derivative, accounting two-dose vaccine regimen. The basic results concepts Caputo-Fabrizio (CF) derivative has been presented analysis...

INTRODUCTION: Older adults often require multiple medications, increasing their risk of polypharmacy and drug-related problems (DRPs). Solid oral dosage forms (SODFs) are the most common medication formulation used by patients. However, administering SODFs to older can be challenging, especially for those with swallowing difficulties, leading practices such as crushing, splitting tablets, or opening capsules. These modifications affect efficacy safety. This study aims examine prevalence SODF...

The utilization of time-fractional PDEs in diverse fields within science and technology has attracted significant interest from researchers. This paper presents a relatively new numerical approach aimed at solving two-term PDE models two three dimensions. We combined the Liouville–Caputo fractional derivative scheme with Strang splitting algorithm for temporal component employed meshless technique spatial derivatives utilizing Lucas Fibonacci polynomials. rising demand methods stems their...

Vector-borne infections pose serious public health challenges due to the complex interplay of biological, environmental, and social factors. Therefore, comprehensive approaches are essential mitigate burden vector-borne minimize their impact on health. In this research, an epidemic model for disease malaria is structured with a saturated incidence rate via fractional calculus preventive measures. The results concepts introduced examine proposed model. solution system examined some necessary...

Currently, immunotherapy is seen to be the most effective cancer treatment. This especially true while treating chronic lymphocytic leukemia (CLL), a slow-growing B-lymphocyte neoplasm that gradually compromises immune system. Mathematical modeling acknowledged as key technique for analyzing theoretical and practical challenges in this field of research others. We were inspired develop mathematical model because its dearth investigations chemotherapy-induced CLL. study effort formulates...

Background: Stress-induced hyperglycemia is common in critically ill patients. A few forms of model-based glycemic control have been introduced to reduce this phenomena and among them the automated STAR protocol which has used Christchurch Gyulá hospitals' intensive care units (ICUs) since 2010. Methods: This article presents pilot trial assessment implemented International Islamic University Malaysia Medical Centre (IIUMMC) Hospital ICU December 2017. One hundred forty-two patients who...

Abstract Mathematical models for infectious diseases can help researchers, public health officials, and policymakers to predict the course of an outbreak. We formulate epidemic model transmission dynamics Zika infection with carriers understand intricate progression route infection. In our study, we focused on visualization patterns asymptomatic carriers, using fractional calculus. For validity model, have shown that solutions system are positive bounded. Moreover, conduct a qualitative...