Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Peter J. Witbooi"'
Publikováno v:
International Journal of Differential Equations, Vol 2023 (2023)
Despite the recent progress of global control efforts, tuberculosis (TB) remains a significant public health threat worldwide, especially in developing countries, including Ethiopia. Furthermore, the emergence of multidrug-resistant tuberculosis (MDR
Externí odkaz:
https://doaj.org/article/84580667b3d342f6b9a34ee487c8187d
Autor:
Peter J. Witbooi
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-15 (2021)
Abstract We present a deterministic SEIR model of the said form. The population in point can be considered as consisting of a local population together with a migrant subpopulation. The migrants come into the local population for a short stay. In par
Externí odkaz:
https://doaj.org/article/f22d09f1929941708668fa55661238fb
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-15 (2020)
Abstract We present and analyze a stochastic differential equation (SDE) model for the population dynamics of a mosquito-borne infectious disease. We prove the solutions to be almost surely positive and global. We introduce a numerical invariant R ${
Externí odkaz:
https://doaj.org/article/9d517339d7fe434391dac3071376a4aa
Publikováno v:
Axioms, Vol 11, Iss 7, p 343 (2022)
This paper searches for optimal strategies for the minimization of the number of high-risk latent and active tuberculosis (TB) infectious individuals using real data from Ethiopia. Optimal control theory is harnessed for investigation and analysis of
Externí odkaz:
https://doaj.org/article/f134d0ddc9084e5eb85fa809eeca000e
Publikováno v:
Abstract and Applied Analysis, Vol 2020 (2020)
The model system of ordinary differential equations considers two classes of latently infected individuals, with different risk of becoming infectious. The system has positive solutions. By constructing a Lyapunov function, it is proved that if the b
Externí odkaz:
https://doaj.org/article/fd689f75b58644c5874fc2515692477e
Publikováno v:
Journal of Applied Mathematics, Vol 2019 (2019)
In this study, we develop and analyze a deterministic mathematical model for tuberculosis (TB) transmission dynamics. The model includes vaccination for newborns and treatment for both high-risk latent and active TB patients. The stability of disease
Externí odkaz:
https://doaj.org/article/54cae332b79041199ed5f5319e0b3d80
Autor:
Grant E. Muller, Peter J. Witbooi
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
We model a Basel III compliant commercial bank that operates in a financial market consisting of a treasury security, a marketable security, and a loan and we regard the interest rate in the market as being stochastic. We find the investment strategy
Externí odkaz:
https://doaj.org/article/3864384b050a42a39f6e40e4c6cfe0fc
Publikováno v:
Journal of Applied Mathematics, Vol 2012 (2012)
We present a model for an SIR epidemic in a population consisting of two components—locals and migrants. We identify three equilibrium points and we analyse the stability of the disease free equilibrium. Then we apply optimal control theory to find
Externí odkaz:
https://doaj.org/article/8f815d315af147ce9fbac94d875089b7
Publikováno v:
Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7301-7317 (2021)
We present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected migrants into the host populat
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-15 (2020)
We present and analyze a stochastic differential equation (SDE) model for the population dynamics of a mosquito-borne infectious disease. We prove the solutions to be almost surely positive and global. We introduce a numerical invariant ${\mathcal{R}