@article{(Open Science Index):https://publications.waset.org/pdf/10002656,
	  title     = {Bifurcation and Stability Analysis of the Dynamics of Cholera Model with Controls},
	  author    = {C. E. Madubueze and  S. C. Madubueze and  S. Ajama},
	  country	= {},
	  institution	= {},
	  abstract     = {Cholera is a disease that is predominately common in
developing countries due to poor sanitation and overcrowding
population. In this paper, a deterministic model for the dynamics of
cholera is developed and control measures such as health educational
message, therapeutic treatment, and vaccination are incorporated in
the model. The effective reproduction number is computed in terms
of the model parameters. The existence and stability of the
equilibrium states, disease free and endemic equilibrium states are
established and showed to be locally and globally asymptotically
stable when R0 < 1 and R0 > 1 respectively. The existence of
backward bifurcation of the model is investigated. Furthermore,
numerical simulation of the model developed is carried out to show
the impact of the control measures and the result indicates that
combined control measures will help to reduce the spread of cholera
in the population.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {9},
	  number    = {11},
	  year      = {2015},
	  pages     = {651 - 657},
	  ee        = {https://publications.waset.org/pdf/10002656},
	  url   	= {https://publications.waset.org/vol/107},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 107, 2015},
	}