Department of Management Education
Permanent URI for this collection
Browse
Browsing Department of Management Education by Author "Appiagyei, Ebenezer"
Now showing 1 - 5 of 5
Results Per Page
Sort Options
- ItemMathematical Model for Malaria Transmission with Optimal Control Strategies and Their Effects(Journal of Scientific Research & Reports, 2018) Appiagyei, Ebenezer; Osman, Mojeeb AL-Rahman EL-Nor; Kibona, Isack E.In this paper, we propose a SEIR-SEI optimal control model of malaria transmission with standard incidence rate. We present four control strategies to prevent the prevalence of infection in the society. In order to do this, we introduce an optimal control problem with an objective function, where the four control functions, prevention using Long-Lasting Insecticide Treated Net(LLITN) u1(t), the control effort on malaria treatment of infected individuals u2(t), the insecticide spray on the breeding grounds for the mosquito u3(t), the prevention using Indoor Residual Spraying u4(t), have been used as control measures for exposed and infected individuals. We show the existence of an optimal control pair for the optimal control problem and derive the optimality conditions. Our numerical simulation suggests that the two controls strategies u1(t) and u2(t) are more effective than the other control strategies in controlling (reducing) the number of exposed and infected individuals and also in increasing the number of recovered individuals
- ItemObserver-Based Finite-Time Modified Projective Synchronization of Multiple Uncertain Chaotic Systems and Applications to Secure Communication Using DNA Encoding(IEEE Access, 2019) Appiagyei, Ebenezer; Luo, Jing; Zhao, Liang; Xiong, Zhili; Qu, ShaochengThis paper studies an observer-based finite-time scheme for two modified projective synchro nization modes, including the synchronization of multiple uncertain chaotic response systems to one drive system and transmission synchronization. First, a finite-time super-twisting observer is designed to estimate the uncertain terms. Then, a finite-time controller is proposed to guarantee the chaos synchronization, and the numerical simulations illustrate the efficiency and robustness of the proposed strategy. Finally, the appli cations based on chaos synchronization which include masking encryption and secure communication of the color image using DNA encoding are validated
- ItemSensitivity Analysis of Mathematical Model for Malaria Transmission with Saturated Incidence Rate(Journal of Scientific Research & Reports, 2019) Appiagyei, Ebenezer; Osman, Mojeeb AL-Rahman EL-Nor; Hassan, Nada Abdelsamad; Yang, CuihongMalaria is a life threatening vector borne disease caused by parasites that are transmitted to people through the bites of infected female Anopheles mosquitoes. In this paper, we study and analyze mathematical model of ordinary differential equations for human and mosquito with saturated incidence function. The stability of the system was analyzed for the Malaria-Free Equilibrium (MFE) through the reproduction number R0 which was obtained using the next generation matrix method. The MFE is locally asymptotical stable if R0 < 1 and unstable otherwise. Moreover, our sensitivity analysis shows that the most effective parameter is, a, mosquito biting rate and the less effective one is αh, human progression rate. Our numerical simulations show that, reducing the biting rate of mosquitoes will reduce the number of exposed humans as well as infected individuals and increase the number of treated individuals. This can be achieved by increasing the proportion of antibodies
- ItemSimple MSEIR Model for Measles Transmission(Asian Research Journal of Mathematics, 2019) Appiagyei, Ebenezer; Adu, Isaac Kwasi; Ossman, Mojeeb Al-Rahman EL-NorIn this paper, an Immunity-Susceptible-Exposed-Infectious-Recovery (MSEIR) mathematical model was used to study the dynamics of measles transmission. We discussed that there exist a disease-free and an endemic equilibria. We also discussed the stability of both disease-free and endemic equilibria. The basic reproduction number
- ItemTuberculosis Model with Exogenous Reinfection and Treatment(Asian Research Journal of Mathematic, 2020) Appiagyei, Ebenezer; Osman, Mojeeb b Al-Rahman El-Nor; Adu, Isaac KwasiThe epidemiology of tuberculosis model, which includes exogenous reinfection and treatment, is analyzed. We consider both the diagnosed and the undiagnosed individuals as infectious. Since tuberculosis is treatable, we also included the treatment for diagnosed infective. We presented the basic reproduction number and the stability of the disease-free and endemic equilibria. We also analyzed the model when the exogenous re-infection is set to zero. The exogenous re-infection is shown to be capable of supporting multiple equilibria. Lastly, we presented the global stability and numerical simulations of the model