water
gases
hypoxia
Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model
simulated results
unique solution
solution
study
derivatives
decrement
technique
https://doi.org/10.1186/s13662-022-03679-8
equilibrium
method
articles
autonomous model
important results
quality
oxygen
point
real-world phenomena
view
prelude
problem
true
stability
2022-10-01T06:50
fractional mathematical model
existence
form
equilibrium point
reasons
cause
article
model
effect
greenhouse gases
fractional order case
study of ecosystems
predictor-corrector technique
topic
aquatic animals
density
phenomenon
rate of circulation
aquatic species
2022-04-15
temperature
fractional-order model
paper
sense
numerical solution
31
results
cases
novelty
system
number
interesting topic
water causes
temperature of water
fractional-order systems
population
2022-04-15
dynamics
fractional derivative
ecosystems
graph
circulation
number of graphs
https://scigraph.springernature.com/explorer/license/
asymptotic stability
mathematical model
real-world dynamics
Caputo fractional derivative
Study of ecosystems has always been an interesting topic in the view of real-world dynamics. In this paper, we propose a fractional-order nonlinear mathematical model to describe the prelude of deteriorating quality of water cause of greenhouse gases on the population of aquatic animals. In the proposed system, we recall that greenhouse gases raise the temperature of water, and because of this reason, the dissolved oxygen level goes down, and also the rate of circulation of disintegrated oxygen by the aquatic animals rises, which causes a decrement in the density of aquatic species. We use a generalized form of the Caputo fractional derivative to describe the dynamics of the proposed problem. We also investigate equilibrium points of the given fractional-order model and discuss the asymptotic stability of the equilibria of the proposed autonomous model. We recall some important results to prove the existence of a unique solution of the model. For finding the numerical solution of the established fractional-order system, we apply a generalized predictorâ€“corrector technique in the sense of proposed derivative and also justify the stability of the method. To express the novelty of the simulated results, we perform a number of graphs at various fractional-order cases. The given study is fully novel and useful for understanding the proposed real-world phenomena.
rate
species
animals
levels
generalized form
oxygen levels
Pushpendra
Kumar
pub.1147152169
dimensions_id
Pure Mathematics
Govindaraj
V.
10.1186/s13662-022-03679-8
doi
Erturk
Vedat Suat
35450200
pubmed_id
Mathematical Sciences
Mohamed
Mohamed S.
Springer Nature - SN SciGraph project
Springer Nature
2731-4235
1687-1839
Advances in Continuous and Discrete Models
2022
Department of Mathematics, National Institute of Technology Puducherry, 609609, Karaikal, India
Department of Mathematics, National Institute of Technology Puducherry, 609609, Karaikal, India
Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55200, Atakum, Samsun, Turkey
Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55200, Atakum, Samsun, Turkey
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia
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