Geodesic
Analysis of open-water plankton-fish-mussel system under the influence of environmental noises
Filomat, Tome 35 (2021) no. 12, p. 4135

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

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 MATLAB to 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
DOI : 10.2298/FIL2112135D
Classification : 34C23, 92D25
Keywords: Global attractivity, Persistence, Extinction, Marine ecosystem 
Amartya Das; G P Samanta. Analysis of open-water plankton-fish-mussel system under the influence of environmental noises. Filomat, Tome 35 (2021) no. 12, p. 4135 . doi: 10.2298/FIL2112135D
@article{10_2298_FIL2112135D,
     author = {Amartya Das and G P Samanta},
     title = {Analysis of open-water plankton-fish-mussel system under the influence of environmental noises},
     journal = {Filomat},
     pages = {4135 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112135D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112135D/}
}
TY  - JOUR
AU  - Amartya Das
AU  - G P Samanta
TI  - Analysis of open-water plankton-fish-mussel system under the influence of environmental noises
JO  - Filomat
PY  - 2021
SP  - 4135 
VL  - 35
IS  - 12
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2112135D/
DO  - 10.2298/FIL2112135D
LA  - en
ID  - 10_2298_FIL2112135D
ER  - 
%0 Journal Article
%A Amartya Das
%A G P Samanta
%T Analysis of open-water plankton-fish-mussel system under the influence of environmental noises
%J Filomat
%D 2021
%P 4135 
%V 35
%N 12
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2112135D/
%R 10.2298/FIL2112135D
%G en
%F 10_2298_FIL2112135D

Cité par Sources :