We observed that Impulsive Quantum Stochastic Differential Inclusion (IQSDI) may not have solution even if it is Lipschitz continuous because of the limiting condition imposed on the impulsive term $t_k .$ We impose an extra regularity condition on $t_k $ and establish solution using minimal selection theorem. QSDI in this work is in the framework of Hudson and Parthasarathy developed quantum...
This paper explores predictive modelling, a mathematical technique used to analyse data patterns for forecasting future events or outcomes. Predictive modelling is a crucial component of predictive analytics, a data analytics discipline that employs machine learning and data mining methods to forecast activity, behaviour, and trends using both current and historical data. Initially, the paper...
A continuous implicit trigonometrically-fitted four-step method (CITFFM) for solving oscillatory second order ordinary differential equations (ODEs) is developed in this paper. The CITFSM is generated by collocation and interpolation techniques through the use of a combination of power series and trigonometric function as approximate basis equation. For implementation purpose, an implicit...
High blood pressure, also known as hypertension, is a common medical condition where the force of blood against the walls of the arteries is consistently too high. During the last 100 years, pathological methods have been used to explain different ways that recapitulate the unique features of muscles and how they relate to the arterial blood vessel. The mechanical characterization of pressure...
Chemical species undergoing spontaneous reactions and temperature oxidation of materials are useful in explosion safety, propulsion detonation and chemical synthesis. Thus, this study considers the dynamics of temperature oxidation of a two-step exothermic combustion and thermal ignition in a concentric isothermal cylinder with diverse boundary constraints. With constant thermal reactant...
Analog circuit design for nonlinear programming has been widely studied in the literature (Dennis, 1959;
Kennedy and Chua, 1988; Tank and Hopfield, 1986; Wilson, 1986). However, recent advances in edge computing
and in model predictive control have led to a resurgence of interest in analog programming circuits (Vichik and
Borrelli, 2014; Vichik et al., 2016; Bena et al., 2023). We develop...
HIV superinfection, the acquisition of a second distinct viral strain in an individual already infected, presents challenges to HIV management and vaccine development. Understanding the dynamics and implications of superinfection is crucial for advancing HIV research and developing more effective prevention and treatment strategies. While HIV superinfection is recognized, the mechanisms,...
Tubercuosis(TB)is a global health concern,affecting both humans and animals.This paper
provides a dynamic model to anayze the complicated dynamics of tuberculosis transmission,
taking into account human animal interactions and a saturated incidence rate with seasonal
changes.Furthermore,the model accounts for the efficiency of measures targeted at reducing the
spread of...
Combined effects of steady electro-osmotic flow (EOF) and magneto-hydrodynamics (MHD) with variable viscosity and thermal conductivity of the reactive fluid flow is assumed to vary exponentially with temperature was investigated. The dimensionless variables was used to dimensionalized the governing equations of the flow using suitable physical parameter. However, steady variable viscosity and...
In this paper, the derivation of a second derivative two-step hybrid block Method is carried out via Collocation techniques and the scheme is coupled with sixth-order compact difference schemes for the numerical solution of the nonlinear FitzHugh-Nagumo Partial Differential Equations (PDE) which is of physical relevance. The sixth-order standard compact difference schemes are used to...
Brain tumor is an abnormal growth or mass of cells in or around the brain. It is also called a central nervous system tumor. Brain tumors can be malignant (cancerous) or benign (not cancerous). In this work we proposed a system of nonlinear differential equations that model brain tumor under treatment by chemotherapy, which considers interactions among the glial cells X(t), the cancer cells...
