<abstract><p>In the context of this investigation, we introduce an innovative mathematical model designed to elucidate intricate dynamics underlying transmission Anthroponotic Cutaneous Leishmania. This offers a comprehensive exploration qualitative characteristics associated with process. Employing next-generation method, deduce threshold value $ R_0 for model. We rigorously explore both local and global stability conditions in disease-free scenario, contingent upon being less...

The dynamic behaviors of computer virus models are investigated. In the first phase, we discussed deterministic version proposed model by taking into consideration local and global stability. For stability Castillo-Chavez approach is taken account. numerically solved Runge–Kutta scheme. then fractionalized using Atangana–Baleanu–Caputo operator. Existence uniqueness Hyers–Ulam established. Atangana–Toufik method used for numerical examination a fractional model.

Computer networks can be alerted to possible viruses by using kill signals, which reduces the risk of virus spreading. To analyze effect signal nodes on propagation, we use a fractional-order SIRA model Caputo derivatives. In our model, show how computer spreads in vulnerable system and it is countered an antidote. Using operator, fractionalized after examining deterministic form. The fixed point theory Schauder Banach applied under consideration determine whether there exists at least one...

SARS-CoV-2 and its variants have been investigated using a variety of mathematical models. In contrast to multi-strain models, models exhibit memory effect that is often overlooked more realistic. Atangana-Baleanu's fractional-order operator discussed in this manuscript for the analysis transmission dynamics SARS-CoV-2. We mechanism virus non-local Atangana-Baleanu approach taking into account different phases infection routes. Using conventional ordinary derivative operators, our first step...

This study explores the onset of food allergies in individuals using antacid medications, employing an innovative fractional mathematical model integrating calculus and differential equations. Through this methodology, we analyze intricate dynamics allergy epidemics their interaction with usage, offering essential perspectives for refining management strategies implementing early intervention measures. Our research stems from a 2001 case, marking initial occurrence severe anaphylactic...

The dynamic of covid-19 epidemic model with a convex incidence rate is studied in this article. First, we formulate the without control and study all basic properties results including local global stability. We show stability disease free equilibrium using method Lyapunov function theory while for endemic, use geometrical approach. Furthermore, develop suitable optimal strategies. Our aim to minimize infection host population. In order do this, two variables. Moreover, sensitivity analysis...

A fractional model for the transmission dynamics of Hepatitis B was designed. disease has a great impact on global human health conditions and economical systems. The spreading HBV several phases, i.e., acute chronicle carriers phases have key role. carrier's cases do not any signs are capable transmitting infection. In this article, we investigated due to different infection virus constructed nonlinear epidemic. Next, hepatitis with Atangana–Baleanu derivative (AB derivative) is formulated...

We developed a dengue epidemic model by considering hospitalized class and harmonic mean incidence rate. A qualitative study of the proposed was conducted. The Basic reproduction number, local global stability are established. highly dominant parameters on basic number R0 have been found sensitivity analysis. NSFD RK-4 schemes used for numerical solutions. Furthermore, this manuscript considers novel fractional-order operator Atangana-Baleanu transmission dynamics Dengue epidemic. Assuming...

Abstract In this paper, we consider a fractional COVID-19 epidemic model with convex incidence rate. The Atangana–Baleanu operator in the Caputo sense is taken into account. We establish equilibrium points, basic reproduction number, and local stability at both points. existence uniqueness of solution are proved by using Banach Leray–Schauder alternative type theorems. For numerical simulations, use Toufik–Atangana scheme. Optimal control analysis carried out to minimize infection maximize...

In this research, COVID-19 model is formulated by incorporating harmonic mean type incidence rate which more realistic in average speed. Basic reproduction number, equilibrium points, and stability of the proposed established under certain conditions. Runge-Kutta fourth order approximation used to solve deterministic model. The then fractionalized using Caputo-Fabrizio derivative existence uniqueness solution are proved Banach Leray-Schauder alternative theorems. For fractional numerical...

<abstract><p>In this study, the COVID-19 epidemic model is established by incorporating quarantine and isolation compartments with Mittag-Leffler kernel. The existence uniqueness of solutions for proposed fractional are obtained. basic reproduction number, equilibrium points, stability analysis derived. Sensitivity carried out to elaborate influential parameters upon number. It obtained that disease transmission parameter most dominant A convergent iterative scheme taken into...

A mathematical epidemiological model for the transmission of Hepatitis B virus in frame fractional derivative with harmonic mean type incidence rate is proposed this article. The then fictionalized by utilizing Atangana–Baleanu–Capotu (ABC) operator vaccination effects. threshold number R0 calculated next-generation matrix approach. existence and uniqueness solution are proved well-known fixed point theory. For numerical ABC Adams–Bashforth–Molton (ABM) method utilized. Likewise, stability...

<abstract><p>In this research, we reformulate and analyze a co-infection model consisting of Chagas HIV epidemics. The basic reproduction number $ R_0 the proposed is established along with feasible region disease-free equilibrium point E^0 $. We prove that locally asymptotically stable when less than one. Then, fractionalized by using some important fractional derivatives in Caputo sense. analysis existence uniqueness solution Ulam-Hyers stability established. Finally, solve...

This paper considers the novel fractional-order operator developed by Atangana-Baleanu for transmission dynamics of SARS-CoV-2 epidemic. Assuming importance non-local approach, mechanism has been investigated while taking into account different phases infection and various routes disease. To conduct proposed study, first all, we shall formulate model using classical ordinary derivatives. We utilize fractional order derivative will be extended to a containing The being used is differential...

Selecting appropriate input variables for developing a rainfall prediction model is significantly difficult. The present study proposed an innovative framework variable selection (IVS) bootstrapped long short-term recurrent neural network (BTSP-LSTM-RNN) to identify relevant monthly forecasting. Monthly meteorological and large-scale climatic (LCVs) from 1993 2022 at two selected river basins in the northern region of Thailand were used development. BTSP-LSTM-RNN results compared with...

<p>In this study, we introduce a novel reaction-diffusion epidemic model to analyze the transmission dynamics of hepatitis B virus (HBV). The captured interactions between five population groups: Susceptible individuals, those in latent stage, acutely infected chronically and who have recovered, while considering spatial movement these groups. Chronic HBV infection contributes severe liver diseases such as cirrhosis hepatocellular carcinoma. It is also major cause long-term disability...

In this article, we study the qualitative analysis of Hepatitis B epidemic model with convex incidence rate. First, formulate without control and local global stability. We show stability disease-free equilibrium using method Castillo-Chavez while for disease-endemic, use geometrical approach. Furthermore, develop proposed suitable optimal strategies. aim to minimize infection in host population. order do this, three variables. Moreover, sensitivity complemented by simulations is performed...