Dynamical Behavior of Cholera Epidemic Model with Non-linear Incidence Rate

  title={Dynamical Behavior of Cholera Epidemic Model with Non-linear Incidence Rate},
  author={Muhammad Altaf Khan and Ahmad Ali and L. C. Dennis and Saeed Islam and Ilyas Khan and Murad Ullah and Taza Gul},
Cholera is an infection of the small intestine caused by the bacterium Vibrio cholera. In this work, we consider a mathematical model SIRB which represents the dynamics of cholera. To understand the dynamics of the model, the disease free and endemic stability are discussed. The disease free equilibrium is stable locally as well as globally when the basic reproduction less than 1, otherwise an unstable equilibrium exist. If the basic reproduction number exceeds than unity, then the endemic… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.
Showing 1-2 of 2 extracted citations


Publications referenced by this paper.
Showing 1-10 of 12 references

Transmission Model of Hepatitis B Virus with the Migration Effect

M A.Khan, S. Islam, M. Arif, Z. Haq
Bio. Res. Int., • 2013
View 1 Excerpt

Global stability analysis of epidemiological models based on Volterra-Lyapunov stable matrices, Chaos

S. Liao, J. Wang
Solitons and Fractals, • 2012
View 1 Excerpt

Estimating the reproductive numbers for the 2008-2009 cholera outbreaks in Zimbabwe.

Proceedings of the National Academy of Sciences of the United States of America • 2011

Medical Anthropology in Ecological Perspective, Boulder, CO: Westview

McElroy, Ann, Patricia K. Townsend
View 1 Excerpt

The study status of oral cholera vaccine

Y. Kang, H. Z. Zhang
Chinese Frontier Health Quarantine, • 2005
View 1 Excerpt

Similar Papers

Loading similar papers…