globalchange  > 气候变化事实与影响
DOI: 10.1016/j.amc.2018.10.044
WOS记录号: WOS:000453704700017
论文题名:
Dynamics of a waterborne pathogen model under the influence of environmental pollution
作者: Sharma, Sandeep; Kumari, Nitu
通讯作者: Kumari, Nitu
刊名: APPLIED MATHEMATICS AND COMPUTATION
ISSN: 0096-3003
EISSN: 1873-5649
出版年: 2019
卷: 346, 页码:219-243
语种: 英语
英文关键词: Waterborne diseases ; Environmental pollution ; Persistence ; Backward bifurcation ; Stability
WOS关键词: DISINFECTION BY-PRODUCTS ; GLOBAL-STABILITY ; DRINKING-WATER ; CLIMATE-CHANGE ; INFECTIOUS-DISEASE ; CHOLERA MODEL ; AIR-POLLUTION ; HUMAN HEALTH ; TRANSMISSION ; EPIDEMIC
WOS学科分类: Mathematics, Applied
WOS研究方向: Mathematics
英文摘要:

A non-linear mathematical model is proposed and analyzed to capture the role of environmental pollution on the spread of waterborne diseases. We calculate the threshold quantity (i.e. the basic reproduction number) for the proposed model. It is observed that model possesses two equilibria, namely disease free equilibrium and endemic equilibrium. The disease free equilibrium is globally asymptotically stable when the basic reproduction number is less than or equal to one. If the basic reproduction number exceeds one then the disease persists and endemic equilibrium point is globally asymptotically stable under certain conditions. The conditions of global stability of the endemic equilibrium are obtained using the compound matrix. The dynamical study of our model provides a clear insight of the role of pollution on the spread of waterborne diseases. An increase in the size of infected population with increase in the stress related parameters demonstrates that environmental pollution increases the size of the epidemics. Despite the severity of the issue, little efforts have been made in this direction. We firmly believe that our study will bridge this gap and help the authorities forming policies to combat fatal waterborne diseases. (C) 2018 Elsevier Inc. All rights reserved.


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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/133968
Appears in Collections:气候变化事实与影响

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作者单位: Indian Inst Technol Mandi, Sch Basic Sci, Mandi 175001, Himachal Prades, India

Recommended Citation:
Sharma, Sandeep,Kumari, Nitu. Dynamics of a waterborne pathogen model under the influence of environmental pollution[J]. APPLIED MATHEMATICS AND COMPUTATION,2019-01-01,346:219-243
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