This study investigate non-linear programming
problem that is, quadratic programming and its application to
portfolio management. The data of return on asset of five
different insurance companies namely: AIICO, LINKAGE,
NIGER, MUTUAL BENEFIT, and LASACO insurance
company was collected and a model was fixed. These data
were analyzed using quadratic programming in conjunction
with LINGO software. The result of the analyzed data
revealed that the allocation of fund for each insurance
companies should be done with the same percent for
LINKAGE, NIGER, MUTUAL BENEFIT and other percent
to AIICO insurance company respectively with increment of
24% on return.
Lassa fever is an acute viral disease which occurs across West Africa regions. In view of this a non-linear deterministic model was considered to study dynamics spread of Lassa fever. Existence and uniqueness of the model were determined and the basic reproduction number of the model was computed using next-generation matrix, and sensitivity analysis of the model was performed and shows that the most sensitive parameters to the dynamical spread of Lassa fever are human birth rate bH, followed by average number of female partners acquired by susceptible male c2, and transmission rate resulting from sexual interaction between infected male and susceptible female h2 have the highest values. It concludes that average number of female partners acquired by susceptible male and sexual transmission rate between the infected male and susceptible female should be reduced.
Keywords: Existence and Uniqueness, disease free equilibrium, basic reproduction numbers and sensitivity analysis.
<abstract><p>In this study, we examine the impact of vaccination and environmental transmission on the dynamics of the monkeypox. We formulate and analyze a mathematical model for the dynamics of monkeypox virus transmission under Caputo fractional order. We obtain the basic reproduction number, the conditions for the local and global asymptotic stability for the disease-free equilibrium of the model. Under the Caputo fractional order, existence and uniqueness solutions have been determined using fixed point theorem. Numerical trajectories are obtained. Furthermore, we explored some of the sensitive parameters impact. Based on the trajectories, we hypothesised that the memory index or fractional order could use to control the Monkeypox virus transmission dynamics. We observed that if the proper vaccination is administrated, public health education is given, and practice like personal hygiene and proper disinfection spray, the infected individuals decreases.</p></abstract>
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