查看更多>>摘要：In this paper, a state-constrained optimal control problem governed by p-Laplacian elliptic equations is studied. The feasible control set or the cost functional may be nonconvex, and the purpose is to obtain the convergence of a solution of the discretized control problem to an optimal control of the relaxed continuous problem.
查看更多>>摘要：Two numerical techniques, namely, Haar Wavelet and the product integration methods, have been employed to give an approximate solution of the fractional Volterra integral equation of the second kind. To test the applicability and e?ciency of the numerical method, two illustrative examples with known exact solution are presented. Numerical results show clearly that the accuracy of these methods are in a good agreement with the exact solution. A comparison between these methods shows that the product integration method provides more accurate results than its counterpart.
查看更多>>摘要：In this work, we tend to deal within the ?eld of the constrained optimization methods of three-term Conjugate Gradient (CG) technique which is primarily based on Dai-Liao (DL) formula. ?e new proposed technique satis?es the conjugacy property and the descent conditions of Karush-Kuhn-Tucker (K.K.T.). Our planned constrained technique uses the robust Wolfe line search condition with some assumptions. We tend to prove the global convergence property of the new planned technique. Numeral comparisons for (30-thirty) constrained optimization issues make sure the e?ectiveness of the new planned formula.
查看更多>>摘要：In this study, we develop and analyze a deterministic mathematical model for tuberculosis (TB) transmission dynamics. ?e model includes vaccination for newborns and treatment for both high-risk latent and active TB patients. ?e stability of disease-free equilibrium point is discussed in detail. In the numerical simulation, the model parameters are estimated using reported TB incidence data in Ethiopia from the years 2003 to 2017, and R_0 is calculated as R_0≈2.13. Finally, the sensitivity indices of R_0 with respect to the model parameters are performed, and their corresponding graphical results are presented. Our results quantify the positive in?uence of vaccination and the treatment for high-risk latent and active TB patients on the control of tuberculosis.
Chikodili Helen UgwuishiwuD. S. SarkiG. C. E. Mbah
17页
查看更多>>摘要：In this paper, a system of deterministic model is presented for the dynamical analysis of the interactional consequence of criminals and criminality on victimisation under two distinguishable forms of rehabilitation-the behavioural reformation of criminals and the emotional psychotherapy of victims. A threshold value, R_0 =max{R_K,R_V}, responsible for the persistence of crime/criminality and victimisation, is obtained and, using it, stability analyses on the model performed. The impact of an e?ective implementation of the two forms of rehabilitation was found to be substantial on crime and criminality, while an ine?ective implementation of same was observed to have a detrimental consequence. The prevention of repeat victimisation was seen to present a more viable option for containing crime than the noncriminalisation of victims. Further, the removal of criminals, either through quitting or death, among others, was also found to have a huge positive impact. Numerical simulations were performed for a variety of mixing criminal scenarios to verify the analytical results obtained.
NSTL
Hindawi Publishing Group