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

EasyChair Preprint no. 2351

Abstract

In marine ecosystem, 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 the different atmospheric temperature. In this study, we discuss the effect of atmospheric temperature to the plankton in marine ecosystem including the concentration of dissolved oxygen. To investigate the effect of atmospheric temperature, we formulate a mathematical model consists of non-linear 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 simulation, approximate solution of every dynamical species has been found.

Keyphrases: atmospheric temperature, photosynthetic activity, plankton

@Booklet{EasyChair:2351,
  author = {Sajib Mandal and Md. Sirajul Islam and Md. Haider Ali Biswas},
  title = {Modeling and Analytical Analysis of the Effect of Atmospheric Temperature to the Planktonic Ecosystem in Oceans},
  howpublished = {EasyChair Preprint no. 2351},

  year = {EasyChair, 2020}}