Simultaneous effects of the rise in temperature due to greenhouse gases and hypoxia on the dynamics of the aquatic population: a mathematical model

被引：0
作者：
Divya Chaturvedi
O. P. Misra
机构：
[1] Jiwaji University,School of Mathematics and Allied Sciences
来源：
Journal of Applied Mathematics and Computing | 2020年 / 63卷
关键词：
Temperature; Dissolved oxygen; Aquatic population; Greenhouse gases; Mathematical model; Stability analysis; 92B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A nonlinear mathematical model is proposed to discuss the role of deteriorating water quality due to greenhouse gases on the dynamics of the aquatic population in this paper. In the model, the growth rate of the aquatic population is taken as a function of two water quality indicators: temperature and dissolved oxygen. It is considered in the model that greenhouse gases increase the water temperature due to which the level of dissolved oxygen decreases and also consumption rate of dissolved oxygen by the species increases, causing a reduction in the aquatic population density. Stability analysis of the mathematical model is carried out and also numerical simulation is performed with hypothetical data. From the analysis of the model, it is shown that if the emission rate of greenhouse gases increases then the equilibrium density of the aquatic population decreases. Further, it is noted that as the dissolved oxygen requirement necessary for the survival of the aquatic population increases because of elevated water temperature then the equilibrium density of the aquatic population decreases.
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页码：59 / 85
页数：26
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