Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model

The stomach is usually considered as a hollow muscular sac, which initiates the second segment of digestion. It is the most sophisticated endocrine structure having unique biochemistry, physiology, microbiology, and immunology. The pivotal aim of the present study is to propose the nonlinear mathema...

Full description

Saved in:
Bibliographic Details
Main Authors: Yolanda Guerrero Sánchez, Zulqurnain Sabir, Hatıra Günerhan, Haci Mehmet Baskonus
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/5063271
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832546917563760640
author Yolanda Guerrero Sánchez
Zulqurnain Sabir
Hatıra Günerhan
Haci Mehmet Baskonus
author_facet Yolanda Guerrero Sánchez
Zulqurnain Sabir
Hatıra Günerhan
Haci Mehmet Baskonus
author_sort Yolanda Guerrero Sánchez
collection DOAJ
description The stomach is usually considered as a hollow muscular sac, which initiates the second segment of digestion. It is the most sophisticated endocrine structure having unique biochemistry, physiology, microbiology, and immunology. The pivotal aim of the present study is to propose the nonlinear mathematical model of the nervous stomach system based on three compartments namely, tension (T), food (F), and medicine (M). The detailed description of each compartment is provided along with the mathematical form and different rates/factors, such as sleep factor, food rate, tension rate, medicine term, and death rate. The solution of the designed model is presented numerically by using the well-known differential transformation technique. The behavior of the obtained solution has been captured with respect to time as well as presentations of the numerical simulations.
format Article
id doaj-art-fad360cc9bcb409bb8f1950a4a5b78ac
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-fad360cc9bcb409bb8f1950a4a5b78ac2025-02-03T06:46:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/50632715063271Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical ModelYolanda Guerrero Sánchez0Zulqurnain Sabir1Hatıra Günerhan2Haci Mehmet Baskonus3Universidad de Murcia, Departamento de Anatomía y Psicobiología, 30001 Murcia, SpainDepartment of Mathematics and Statistics, Hazara University, Mansehra, PakistanMathematics Department, Faculty of Education, Kafkas University, Kars, TurkeyFaculty of Education, Harran University, Sanliurfa, TurkeyThe stomach is usually considered as a hollow muscular sac, which initiates the second segment of digestion. It is the most sophisticated endocrine structure having unique biochemistry, physiology, microbiology, and immunology. The pivotal aim of the present study is to propose the nonlinear mathematical model of the nervous stomach system based on three compartments namely, tension (T), food (F), and medicine (M). The detailed description of each compartment is provided along with the mathematical form and different rates/factors, such as sleep factor, food rate, tension rate, medicine term, and death rate. The solution of the designed model is presented numerically by using the well-known differential transformation technique. The behavior of the obtained solution has been captured with respect to time as well as presentations of the numerical simulations.http://dx.doi.org/10.1155/2020/5063271
spellingShingle Yolanda Guerrero Sánchez
Zulqurnain Sabir
Hatıra Günerhan
Haci Mehmet Baskonus
Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model
Discrete Dynamics in Nature and Society
title Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model
title_full Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model
title_fullStr Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model
title_full_unstemmed Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model
title_short Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model
title_sort analytical and approximate solutions of a novel nervous stomach mathematical model
url http://dx.doi.org/10.1155/2020/5063271
work_keys_str_mv AT yolandaguerrerosanchez analyticalandapproximatesolutionsofanovelnervousstomachmathematicalmodel
AT zulqurnainsabir analyticalandapproximatesolutionsofanovelnervousstomachmathematicalmodel
AT hatıragunerhan analyticalandapproximatesolutionsofanovelnervousstomachmathematicalmodel
AT hacimehmetbaskonus analyticalandapproximatesolutionsofanovelnervousstomachmathematicalmodel