### Modelling the depletion of atmospheric fuzzy plankton-oxygen dynamics in a lake due to photosynthetic activity of ecosystem under Climate change

#### Abstract

This paper proposes a new approach to the depletion of plankton-oxygen dynamic systems that deal with non-spatial processes in fuzzy environment. In this paper, an approximate analytical method to solve the non-linear fuzzy differential equations in a plankton-oxygen dynamics is presented. This kinetic mechanism is based on the system of non-linear reaction diffusion equations. An approximate fuzzy analytical expression of concentration profiles of oxygen, phytoplankton and zooplankton has been derived using the Homotopy perturbation method for all hypothetical values of the parameters. Analytical results are compared with the numerical results and graphical representation of previous result, a satisfactory agreement.

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DOI: http://dx.doi.org/10.24294/ijmss.v1i2.556

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