Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model

• Published in: Discrete dynamics in nature and society Vol. 2020; no. 2020; pp. 1 - 9
• Main Authors: Baskonus, Haci Mehmet, Günerhan, Hatıra, Sabir, Zulqurnain, Guerrero Sánchez, Yolanda
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 2020; Hindawi; John Wiley & Sons, Inc; Hindawi Limited
• Subjects: 19th century; 20th century; Computer simulation; Food; Histamine; Human body; Immunology; Mathematical models; Medicine; Microbiology; Numerical analysis; Ordinary differential equations; Physiological aspects; Stomach
• ISSN: 1026-0226; 1607-887X
• DOI: 10.1155/2020/5063271

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.