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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email:

Mathematical Modeling for Asthma due to Air Pollution

Journal of Applied Nonlinear Dynamics 10(2) (2021) 219--228 | DOI:10.5890/JAND.2021.06.003

Nita H. Shah , Ankush H. Suthar, Purvi M. Pandya

Department of Mathematics, Gujarat University, Ahmedabad -- 380009, Gujarat, India

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The human~respiratory~and~cardiovascular~systems get affected from surrounding atmosphere. Systematic study of indoor and outdoor pollution is needed for better understanding of their global epidemiology. In this substantial body of research, a mathematical model for transmission of asthma in a variable size population under the effects of indoor smoke and outdoor air pollution is proposed. In addition, the reproduction number for the dynamical system is formulated which signifies the intensity of asthma exacerbation. The global and local stability of acquired equilibrium points is studied. The performance of the model is simulated numerically which illustrates how polluted environment effectively increases levels of aeroallergens and their effect on asthma exacerbation, and how such exposures can be meaningfully reduced.


Authors thank anonymous reviewers for their constructive comments. Ankush Suthar is funded by a Junior Research Fellowship from the Council of Scientific & Industrial Research (file no.-09/070(0061)/2019-EMR-I) and all the authors are thankful to DST-FIST file {\#} MSI-097 for technical support to the Department of Mathematics, Gujarat University.


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