SEIR epidemic model which represents the direct transmission of infectious disease are considered to control measles for infected population. The Caputo fractional derivative operator order α∈(0,1] is employed obtain system differential equations model. stability analysis has been made and verify non-negative unique solution scheme with in domain. Laplace Adomian Decomposition Method applied give an approximate nonlinear purposed at different values α comparative study between new algorithm...

Abstract In this work, we will introduce two novel positivity preserving operator splitting nonstandard finite difference (NSFD) schemes for the numerical solution of SEIR reaction diffusion epidemic model. model infection diseases, is an important property continuous system because negative value a subpopulation meaningless. The proposed NSFD are dynamically consistent with First scheme conditionally stable while second unconditionally stable. stability diffusive also verified numerically...

Background and Aims: Hydrocephalus is a disorder characterised by abnormal accumulation of cerebrospinal fluid (CSF) in the brain ventricles, demands accurate diagnosis for effective management. The primary aim this research was to compare MDCT Brain Plain MRI findings infants presenting with hydrocephalous. Methods: A cross-sectional investigation 39 newborns used 64-slice 1.5 Tesla MRI, which followed paediatric imaging procedures. Temporal horns, ventricle size, specific disorders such as...

A novel unconditionally positive finite difference (FD) scheme is developed to solve numerically SEIR measles epidemic model with diffusion. In population dynamics, positivity of subpopulations an essential requirement. The proposed FD preserves the solution model. consistency and unconditional stability proved. explicit in nature which extra feature this scheme. Comparisons are also made forward Euler Crank Nicolson implicit Simulations a numerical test presented verify all attributes

This paper is based on the analysis of SEIR measles models, which are used to study integrating vaccination as a control strategy and taking two stages infectiousness transmission dynamics infectious diseases in population.Measles higher contagious that can spread community population depending number people susceptible or infected also their movement community.We construct an unconditionally convergent nonstandard finite difference (NSFD) scheme for model.NSFD preserve positivity all values...

The present work deals with the construction, development, and analysis of a viable normalized predictor-corrector-type nonstandard finite difference scheme for SEIR model concerning transmission dynamics measles. proposed numerical double refines solution gives realistic results even large step sizes, thus making it economical when integrating over long time periods. Moreover, is dynamically consistent continuous system unconditionally convergent preserves positive behavior state variables...

The aim of this work is to design two novel implicit and explicit finite difference (FD) schemes solve SIR (susceptible, infected recovered) epidemic reaction–diffusion system with modified saturated incidence rate. Since model based on population dynamics, therefore solution the continuous possesses positivity property. proposed retain property sub which an essential feature in dynamics. Von Neumann stability analysis reveals that FD are unconditionally stable. It verified help Taylor's...

Abstract An edge-magic total labeling of an ( n , m )-graph G = V E ) is a one to map λ from ∪ onto the integers {1,2,…, + } with property that there exists integer constant c such x y xy for any ∈ ). It called super if )) }. Furthermore, has no labeling, then minimum number vertices added have deficiency graph denoted by μ s [4]. If do not exist, will be ∞. In this paper we study and forests comprising combs, 2-sided generalized combs bistar. The evidence provided these facts supports...

The major theme of this research is to develop the numerical scheme for computation nonlinear problems by implementation boundary element method dependent on Taylor’s series. This paper deals with problem laminar flow in a semiporous channel presence transverse magnetic field and homotopy analysis (HAM) employed along general compute an approximated solution system differential equation governing concerned. A well-known useful fluid mechanics [Formula: see text] conditions text], referred as...

<abstract> <p>In this paper, we develop a time-fractional order COVID-19 model with effects of disease during quarantine which consists the system fractional differential equations. Fractional is investigated ABC technique using sumudu transform. Also, deterministic mathematical for effect different parameters. The existence and uniqueness fractional-order are derived fixed point theory. transform can keep unity function, parity has many other properties that more valuable....

Background: Breast cancer, the most prevalent cancer in women globally, presents unique challenges Pakistan, particularly due to younger average age of diagnosis compared Western countries. Accurate assessment axillary lymph nodes using ultrasound (US) is essential for effective breast staging and prognosis. Objective: This study aimed evaluate sonographic characteristics patients Pakistan assess diagnostic efficacy differentiating between benign malignant nodes. Methods: Conducted at...

Numerical models play vital role in analyzing non-linear continuous dynamical systems. These are constructed with the aim that they must behave exactly like corresponding models. Present work deals numerical modeling of Virus Outbreak a Computer Network Limited Anti-Virus Ability. A competitive scheme for dynamics computer virus network has been proposed. comparison proposed already existing standard finite difference schemes is also presented. Standard provide conditional convergence while...

The solution of second order partial differential equation, with continuous change in coefficients by the formation integral equation and then using radial basis function approximation (RBSA), has been developed this paper. Use boundary element method (BEM), which gives heat or mass diffusion non-homogenous medium varying smoothly space is also part article. Discretization domain instead entire problem concerned distinction recent work. numerical some problems known value variable included at end.