In this analysis, the detrimental impact of indoor air pollution on human population dynamics and its abatement by some mitigation options is explored. Indoor air pollution is like a hidden assaulter and it considerably affects the health of human beings. In order to keep indoor environment clean which is necessary for maintaining good health, the strategies for mitigation of indoor air pollution need to be planned. Thus, to comprehend the phenomenon, a simple nonlinear mathematical model is proposed in this paper by taking into account three dependent variables: human population density, cumulative concentration of indoor air pollution, and measure of the mitigation options impact. Existence of equilibria and their stability analysis has been done. Numerical simulations have been carried out for the validation of analytical results.

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Stability Analysis of a Model to Study the Effect of Indoor Air Pollution on Human Population with Optimal Control

  • Monika Trivedi,
  • Shyam Sundar,
  • Ram Naresh Tripathi,
  • Agraj Tripathi

摘要

In this analysis, the detrimental impact of indoor air pollution on human population dynamics and its abatement by some mitigation options is explored. Indoor air pollution is like a hidden assaulter and it considerably affects the health of human beings. In order to keep indoor environment clean which is necessary for maintaining good health, the strategies for mitigation of indoor air pollution need to be planned. Thus, to comprehend the phenomenon, a simple nonlinear mathematical model is proposed in this paper by taking into account three dependent variables: human population density, cumulative concentration of indoor air pollution, and measure of the mitigation options impact. Existence of equilibria and their stability analysis has been done. Numerical simulations have been carried out for the validation of analytical results.