GLOBAL DYNAMICS OF A CHOLERA MODEL WITH TIME DELAY
2013 ◽
Vol 06
(01)
◽
pp. 1250070
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Keyword(s):
The global dynamics of a cholera model with delay is considered. We determine a basic reproduction number R0 which is chosen based on the relative ODE model, and establish that the global dynamics are determined by the threshold value R0. If R0 < 1, then the infection-free equilibrium is global asymptotically stable, that is, the cholera dies out; If R0 > 1, then the unique endemic equilibrium is global asymptotically stable, which means that the infection persists. The results obtained show that the delay does not lead to periodic oscillations. Finally, some numerical simulations support our theoretical results.
2017 ◽
Vol 10
(05)
◽
pp. 1750067
◽
2018 ◽
Vol 2018
◽
pp. 1-11
◽
2021 ◽
2017 ◽
Vol 2017
◽
pp. 1-14
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