Open AccessAnalysis of open-water plankton-fish-mussel system under the influence of environmental noises
Author(s) -
Amartya Das,
G. P. Samanta
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2112135d
Subject(s) - plankton , mussel , uniqueness , extinction (optical mineralogy) , fish <actinopterygii> , population , mathematics , population dynamics of fisheries , fishery , ecology , biology , mathematical analysis , demography , paleontology , sociology
In this article, we consider a mathematical model consisting of fish and mussel population in presence of plankton as common food source in marine ecosystem. The model is constructed considering all possible biological relationships among plankton (nutrient), fish and mussel. Nonconstant death rate is introduced for mussel population. To avoid ignoring any environmental factors, we consider some important parameters as stochastic. Existence and uniqueness of global positive solutions, boundedness of solutions are proved mathematically. Conditions for extinction of fish and mussel population are derived. From these conditions, we have reached at some conclusion which are verified numerically. We have established the conditions for which the model is persistent in mean. We have proved that the solutions are globally attractive in mean. Numerical simulations are performed by using MATLto justify the mathematical findings. Numerically, we have investigated several useful facts and have achieved some conclusion. For extension of this study, a model is proposed at the end.