Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model
Yolanda Guerrero–Sánchez, Zulqurnain Sabir, Hatıra Günerhan, Hacı Mehmet Başkonuş
Abstract
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.