Abstract: Alcoholism is a problem that affects different aspects of our life in the society. In this study, alcoholism was taken and treated as an infectious disease. We developed a SISeTR model, which is a mathematical model of alcoholism as an infectious disease with five compartments i.e. susceptible, infected, sensitized, treated and recovered. The R₀ was developed and the model stability and the existence of equilibrium points determined. From the quantitative analysis of the study, it was found that the local stability existed when R₀<1. From the numerical analysis, we determined that Sensitization affects the dynamics of the model. We established that an increase in sensitization leads to a decline in the number of infections. This suggests that there is need for the relevant stakeholders to increase the rate of sensitization of the population as a measure of reducing the spread of alcoholism in the society.

Keywords: Alcoholism, Model, Sensitization, Infectious, Local Stability, Equilibrium, Global Stability.

Title: Incorporating Sensitization in Mathematical Modeling of Alcoholism as an Infectious Disease

Author: Joseph Ochieng Obuya, George Kimathi, Winnie Kaluki

ISSN 2394-9651

International Journal of Novel Research in Physics Chemistry & Mathematics

Novelty Journals

Abstract: Trimethoprim is an antibiotic that is primarily used in the treatment of urinary tract infections. Continuous variation method was applied in the calculation of stability constant of trimethoprim-Zn(II) complex depending on the theoretical explanation of the stoichiometry. The formation of Zn(II) complex with trimethoprim was studied colorimetrically at an absorption maximum of 630 nm at 25, 30, 35 and 40 ^oC. The data showed that Zn(II) and trimethoprim combine in the molar ratio of 1:1  at pH 7.4 with ionic strength maintained using 0.1M KNO₃. Calculated stability constants values were 8.13 x 10⁶, 9.21 x 10⁵, 4.47 x 10⁵ and 4.52  x 10⁴ at 25, 30, 35 and 40 ^oC respectively.  Calculated ∆G^Ɵ for the complex were -3.94 x 10⁴, -3.46  x 10⁴, -3.33  x 10⁴ and -2.79  x 10⁴ at 25, 30, 35 and 40 ^oC respectively. The stability constant  results suggested that trimethoprim used in the study is a potent chelating agent and can be an efficient antidote in the therapy of Zn(II) overload or poisoning.              

Keywords: Absorbance, colorimetric, complex, stability constant, trimethoprim, zinc.

Title: Determination of Stability Constant of Trimethoprim-Zn(II) complex at Different Temperatures by Continuous Variation Method

Author: O.V. Ikpeazu, I.E. Otuokere, K.K.Igwe

ISSN 2394-9651

International Journal of Novel Research in Physics Chemistry & Mathematics

Novelty Journals