ABSTRACT. In this paper, we present and analyze a cholera epidemiological model with control measures incorporated. This model is extended from the one proposed in [16] by including the effects of vaccination, therapeutic treatment, and water san- itation. Equilibrium analysis is conducted in the case with con- stant controls for both epidemic and endemic dynamics. Opti- mal control theory is applied to seek cost-effective solution of multiple time-dependent intervention strategies against ...
ABSTRACT This project proposes a non – linear mathematical model to study the effect of irresponsible infected immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible. The equilibrium points, stability analysis and numerical simulation on the model are presented. It is realised that at the disease – free equilibrium, the model is stable when the basic reproduction number R0
ABSTRACT In this paper, a non–linear mathematical model is proposed to study the effects of irresponsible infected immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible receptors. Theequilibrium points, stability analysis, and numerical solution on the model are presented. The Routh–Hurwitz stability condition was employed to examine the stability of the disease– free equilibrium and Next Generation matrix was adopted to g...
Abstract This paper determined the effect of the convergent and divergent thinking-based instructional strategies in influencing students’ achievement in mathematics. The influence of gender on the achievement of students in mathematics was also ascertained. Two hypotheses were formulated to guide the study. a quasi-experimental pre-test, post-test, non-equivalent control group design involving two experimental groups and one control group was adopted for the study. the sample consi...
ABSTRACT Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning. Technology in this context includes computers with appropriate mathematical software, Internet and other digital resources, handheld computing tools and their extensions, and future and emerging forms of similar devices and applications. Technology can be used to facilitate mathematical discovery, understanding, and connections that may be diff...