### Mathematical Biosciences and Engineering

2019, Issue 5: 5226-5246. doi: 10.3934/mbe.2019261
Research article Special Issues

# A cholera transmission model incorporating the impact of medical resources

• Received: 25 November 2018 Accepted: 03 April 2019 Published: 06 June 2019
• We propose a mathematical model for the transmission dynamics of cholera under the impact of available medical resources. The model describes the interaction between the human hosts and the pathogenic bacteria and incorporates both the environment-to-human and human-to-human transmission routes. We conduct a rigorous equilibrium analysis to the model and establish the global asymptotic stability of the disease-free equilibrium when $\mathcal{R}_0 \leq 1$ and that of the endemic equilibrium when $\mathcal{R}_0 > 1$. As a realistic case study, we apply our model to the Yemen cholera outbreak during 2017–2018. By fitting our simulation results to the epidemic data published by the World Health Organization, we find that different levels of disease prevalence and severity are linked to different geographical regions in this country and that cholera prevention and intervention efforts should be implemented strategically with respect to these regions in Yemen.

Citation: Chayu Yang, Jin Wang. A cholera transmission model incorporating the impact of medical resources[J]. Mathematical Biosciences and Engineering, 2019, 16(5): 5226-5246. doi: 10.3934/mbe.2019261

### Related Papers:

• We propose a mathematical model for the transmission dynamics of cholera under the impact of available medical resources. The model describes the interaction between the human hosts and the pathogenic bacteria and incorporates both the environment-to-human and human-to-human transmission routes. We conduct a rigorous equilibrium analysis to the model and establish the global asymptotic stability of the disease-free equilibrium when $\mathcal{R}_0 \leq 1$ and that of the endemic equilibrium when $\mathcal{R}_0 > 1$. As a realistic case study, we apply our model to the Yemen cholera outbreak during 2017–2018. By fitting our simulation results to the epidemic data published by the World Health Organization, we find that different levels of disease prevalence and severity are linked to different geographical regions in this country and that cholera prevention and intervention efforts should be implemented strategically with respect to these regions in Yemen.

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沈阳化工大学材料科学与工程学院 沈阳 110142

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