This article examined community participation in the delivery of water and primary health care services in the Local Government Authorities (LGAs) in Tanzania. This was the descriptive research study which employed bo...This article examined community participation in the delivery of water and primary health care services in the Local Government Authorities (LGAs) in Tanzania. This was the descriptive research study which employed both qualitative and quantitative research designs involving a total of 208 respondents. Where 127 respondents filled in the questionnaires, 51 respondents participated in the in-depth interviews and 30 respondents participated in the Focus Group Discussions (FGDs). The results indicate that decentralization reforms have facilitated the formation of health and water services governance structures that facilitate community participation in the service delivery. The findings further revealed the means through which community participated in the delivery of services, i.e., from participating in the meetings, project initiation and management, to membership in various statutory services boards and committees.展开更多
In this paper, we describe the two different stochastic differential equations representing cholera dynamics. The first stochastic differential equation is formulated by introducing the stochasticity to deterministic ...In this paper, we describe the two different stochastic differential equations representing cholera dynamics. The first stochastic differential equation is formulated by introducing the stochasticity to deterministic model by parametric perturbation technique which is a standard technique in stochastic modeling and the second stochastic differential equation is formulated using transition probabilities. We analyse a stochastic model using suitable Lyapunov function and Itôformula. We state and prove the conditions for global existence, uniqueness of positive solutions, stochastic boundedness, global stability in probability, moment exponential stability, and almost sure convergence. We also carry out numerical simulation using Euler-Maruyama scheme to simulate the sample paths of stochastic differential equations. Our results show that the sample paths are continuous but not differentiable (a property of Wiener process). Also, we compare the numerical simulation results for deterministic and stochastic models. We find that the sample path of SIsIaR-B stochastic differential equations model fluctuates within the solution of the SIsIaR-B ordinary differential equation model. Furthermore, we use extended Kalman filter to estimate the model compartments (states), we find that the state estimates fit the measurements. Maximum likelihood estimation method for estimating the model parameters is also discussed.展开更多
文摘This article examined community participation in the delivery of water and primary health care services in the Local Government Authorities (LGAs) in Tanzania. This was the descriptive research study which employed both qualitative and quantitative research designs involving a total of 208 respondents. Where 127 respondents filled in the questionnaires, 51 respondents participated in the in-depth interviews and 30 respondents participated in the Focus Group Discussions (FGDs). The results indicate that decentralization reforms have facilitated the formation of health and water services governance structures that facilitate community participation in the service delivery. The findings further revealed the means through which community participated in the delivery of services, i.e., from participating in the meetings, project initiation and management, to membership in various statutory services boards and committees.
文摘In this paper, we describe the two different stochastic differential equations representing cholera dynamics. The first stochastic differential equation is formulated by introducing the stochasticity to deterministic model by parametric perturbation technique which is a standard technique in stochastic modeling and the second stochastic differential equation is formulated using transition probabilities. We analyse a stochastic model using suitable Lyapunov function and Itôformula. We state and prove the conditions for global existence, uniqueness of positive solutions, stochastic boundedness, global stability in probability, moment exponential stability, and almost sure convergence. We also carry out numerical simulation using Euler-Maruyama scheme to simulate the sample paths of stochastic differential equations. Our results show that the sample paths are continuous but not differentiable (a property of Wiener process). Also, we compare the numerical simulation results for deterministic and stochastic models. We find that the sample path of SIsIaR-B stochastic differential equations model fluctuates within the solution of the SIsIaR-B ordinary differential equation model. Furthermore, we use extended Kalman filter to estimate the model compartments (states), we find that the state estimates fit the measurements. Maximum likelihood estimation method for estimating the model parameters is also discussed.
