Dynamics of a waterborne pathogen model under the influence of environmental pollution
作者：
Highlights：
• Introduce environmental pollution as a concept for the first time in modeling the dynamics of waterborne diseases.
• Obtain the basic reproduction number for the proposed model where the impact of pollution can be seen clearly.
• Global stability analysis of endemic equilibrium using compound matrix.
• Numerical simulations are done to understand the impact of environmental pollution on the basic reproduction number and disease dynamics.
• An increase in the stress parameter values causes an immediate rise in infection.
• Successfully demonstrated that environmental pollution plays a key role in a rapid spread of waterborne diseases.
摘要
•Introduce environmental pollution as a concept for the first time in modeling the dynamics of waterborne diseases.•Obtain the basic reproduction number for the proposed model where the impact of pollution can be seen clearly.•Global stability analysis of endemic equilibrium using compound matrix.•Numerical simulations are done to understand the impact of environmental pollution on the basic reproduction number and disease dynamics.•An increase in the stress parameter values causes an immediate rise in infection.•Successfully demonstrated that environmental pollution plays a key role in a rapid spread of waterborne diseases.
论文关键词：Waterborne diseases,Environmental pollution,Persistence,Backward bifurcation,Stability
论文评审过程：Received 26 July 2017, Revised 28 September 2018, Accepted 15 October 2018, Available online 31 October 2018, Version of Record 31 October 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.10.044
