A Note on the Multiplicity of Solutions of a Boundary Value Problem Arising From the Theory of Microwave Heating of Cancerous Tumor.

This paper investigates the multiplicity of solutions of a boundary value problem arising from the theory ofmicrowave heating of cancerous tumor. It is shown that the problem has two solutions. However,prescribing an initial gradient results in the existence of a unique solution.Keywords: Cancer, Heating, Hyperthermia, Multiplicity, Tumo

Effects of acceptance of enlightenment on COVID-19 transmission using homotopy perturbation method

The deadly Corona virus disease has had a significantly devasting impact on the general public, necessitating the study of transmission dynamics. A mathematical model of a non-linear differential equation for COVID-19 infection is investigated with the effects of some basic factors such as the acceptance of enlightenment to avoid being exposed and the acceptance of enlightenment to go for vaccination. The basic reproduction number which determined the spread of the disease is evaluated. The local and global stability analyses of the model are carried out. The sensitivity analysis is also computed. Numerical simulation using the homotopy perturbation method demonstrates the effect of the acceptance of enlightenment on the population. Our results indicate that when the populace accepts vaccination, the rate at which COVID-19 spreads reduces

Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation Method

The impact of the emergence of Corona virus which affected all parts of the world cannot be over emphasized. COVID-19 has cost hundreds of thousands of human lives globally, presenting healthcare professionals with pressing challenges, and exposed the weaknesses of national health systems worldwide. Hence, there is a need for more vaccination of individuals which will in turn leads to the eradication of the deadly disease. In this paper, an investigation is carried out for the convergent solution of the model by making use of a reliable Homotopy Perturbation Method (HPM) in exploring the possible solution. Basic Reproduction number was computed using Next Generation Method, The Equilibriums points are determined and the model also explored the sensitivities aspect when the parameters are varied. Fractional model numerically using the Homotopy Perturbation Method (HPM) to obtain the iterative solution of the epidemic model scheme and presenting different forms of graphical results that can be useful to analyze the model. The numerical results show that the spread of the corona – virus disease is reduced by taking adequate and effective vaccines with tim