Title: Reducing the impact of heat waves on human population through avenue vegetation: a mathematical modelling study

Authors: Priya Verma; Maninder Singh Arora; J.B. Shukla

Addresses: Department of Mathematics, P.P.N. P.G. College, Kanpur, Uttar Pradesh, India ' Department of Mathematics, P.P.N. P.G. College, Kanpur, Uttar Pradesh, India ' International Internet University for Research in Science and Technology, Kanpur, Uttar Pradesh, India

Abstract: In this paper, a mathematical model is proposed to study the effect of heat waves on the human population and to reduce the intensity of heat waves with the help of avenue vegetation. Model analysis suggests that the intensity of heat waves decreases, and the density of the human population increases as the intrinsic growth rate and carrying capacity of avenue vegetation are increased. It is also found that the emission rate of carbon dioxide in the atmosphere and the growth rate coefficient of atmospheric temperature destabilise the system. The numerical simulation of the model confirms these analytical results.

Keywords: carbon dioxide; heat wave; avenue vegetation; human population; equilibrium and stability.

DOI: 10.1504/IJGW.2023.133984

International Journal of Global Warming, 2023 Vol.31 No.2, pp.209 - 221

Received: 12 Jul 2022
Received in revised form: 19 Mar 2023
Accepted: 19 Mar 2023
Published online: 09 Oct 2023 *

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