Sandhya Rani Verma Ram Naresh Manju Agarwal Shyam Sundar Department of Mathematics, School of Basic and Applied Sciences, Harcourt Butler Technical University, Kanpur-208002, India Department of Mathematics and Astronomy, University of Lucknow, Lucknow-226007, India Department of Mathematics, P. S. Institute of Technology, Kanpur-208020, India Computational Ecology and Software ISSN 2220-721X http://www.iaees.org/publications/journals/ces/online-version.asp 2020 10 2 59 73 International Academy of Ecology and Environmental Sciences Hong Kong 18 January 2020 22 February 2020 1 June 2020 mathematical modeling stability bacterial diseases environmental degradation simulation In this paper, a nonlinear mathematical model is proposed and analyzed to study the role of cumulative environmental degradation on the spread of bacterial diseases. In the modeling process, it is assumed that the disease is not only transmitted directly from the infective population to susceptible population but also indirectly by the bacteria present in the conducive degraded environment. The cumulative density of the bacteria population is assumed to be governed by a generalized logistic model, and is also dependent on conducive environmental degradation. The cumulative density of environmental degradation is assumed to be dependent on human population-related factors. The analysis of the model is performed by using the stability theory of differential equations and numerical simulation. The model analysis reveals that the increased rate of conducive environmental degradation increases the density of bacteria population which leads to fast spread of the bacterial diseases. http://www.iaees.org/publications/journals/ces/articles/2020-10(2)/environmental-factors-on-spread-of-bacterial-diseases.pdf