Modeling and Analytical Analysis of the Effect of Atmospheric Temperature to the Planktonic Ecosystem in Oceans

Abstract

In marine ecosystems, plankton is considered as the primary food producer. The growth of plankton depends on the efficiency of saturation carbon dioxide, saturation oxygen, nutrition, temperature of the water, sunlight, saturated or unsaturated toxic chemical, plastic, etc. But the growth of phytoplankton mostly depends on the photosynthetic activity of plankton. On the other hand, the photosynthetic activity varies with different atmospheric temperatures. In this study, we discuss the effect of atmospheric temperature on the plankton in marine ecosystems including the concentration of dissolved oxygen. To investigate the effect of atmospheric temperature, we formulate a mathematical model consists of nonlinear ordinary differential equations considering four dynamical variables as the amount of atmospheric temperature, the density of phytoplankton, the density of zooplankton, and the concentration of dissolved oxygen. After testing the positivity, stability analysis has been performed at different critical points of the proposed model. From numerical simulations, an approximate solution for every dynamical species has been found.