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.

中文翻译：

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新型神经胃数学模型的解析解和近似解

胃通常被认为是中空的肌肉囊，开始消化的第二部分。它是最复杂的内分泌结构，具有独特的生物化学，生理学，微生物学和免疫学。本研究的主要目的是基于三个部分，即张力（T），食物（F）和药物（M），提出神经胃系统的非线性数学模型。）。提供每个隔间的详细说明以及数学形式和不同的比率/因素，例如睡眠因素，食物比率，紧张程度，用药期限和死亡率。使用众所周知的微分变换技术以数值方式给出了设计模型的解。相对于时间以及数值模拟的呈现，已经捕获了所获得解决方案的行为。