# Mathematics and Computational Sciences Volume:5 Issue: 1, Winter 2024

• تاریخ انتشار: 1402/12/11
• تعداد عناوین: 6
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• Kehinde Bashiru *, Mutairu Kolawole, Taiwo Ojurongbe, Mutiu Olaosebikan, Nureni Adeboye, Habeeb Afolabi Pages 1-12
In this study, a dynamic model for typhoid fever incorporating protection against infection in the presence of saturated incidence rate is proposed. The existence and uniqueness solution is proved in order to ascertain the existence of the model. Stability analysis of endemic and disease free equilibrium was carried out to investigate the dynamic behavior of the transmission of the disease in a given population. Sensitivity analysis was also carried out to detect the impact of the parameters of the reproductive number and which parameters should focus as a control intervention. Numerical simulation of the model was carried out and the result is presented graphically, the result shows that an increase in the probability of the sources of protection and sociology factor dictate low disease prevalence in a population.
Keywords: Typhoid fever, Saturated Incident Rate, Sensitivity analysis, stability
• Chibueze Onyenegecha *, Francis C Eze Pages 13-19
In this study, we present the analytical solutions of Klein-Gordon equation with modified Mobius square plus Kratzer potential. The energy spectrum and wave functions are obtained via the parametric Nikiforov-Uvarov (NU) method by assuming equal scalar and vector potential. The non relativistic limit is obtained and numerical results are presented. In addition, the energy eigenvalues are obtained for special cases of this potential. Our results show that energy decreases with the screening parameter.
Keywords: Klein-Gordon equation, Nikiforov- Uvarov method, modified Mobius square potential, Kratzer potential
• Meisam Noei Khorshidi, Mohammad Arab Firoozjaee * Pages 20-29
This paper is concerned with a Legendre Ritz-Least squares technique for the non-singular and singular delay differential equations (DDEs) of multi-pantograph type. This tech-nique is based on Legendre polynomials and Least squares. The Legendre Ritz-Least squarestechnique (LRLS) is used to decrease the problem to a set of the algebraic equation system.The efficiency and reliability of the proposed method are shown by some numerical results. Allof the numerical implementations have been performed on a PC using some programs written inMATHEMATICA.
Keywords: ‎Pantograph equations, least squares method, Legendre polynomials